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How to Present a Case Study: Examples and Best Practices

Marketers, consultants, salespeople, and all other types of business managers often use case study analysis to highlight a success story, showing how an exciting problem can be or was addressed. But how do you create a compelling case study and then turn it into a memorable presentation? Get a lowdown from this post! 

Table of Content s

• Why Case Studies are a Popular Marketing Technique 

Popular Case Study Format Types

How to write a case study: a 4-step framework, how to do a case study presentation: 3 proven tips, how long should a case study be, final tip: use compelling presentation visuals, business case study examples, what is a case study .

Let’s start with this great case study definition by the University of South Caroline:

In the social sciences, the term case study refers to both a method of analysis and a specific research design for examining a problem, both of which can generalize findings across populations.

In simpler terms — a case study is investigative research into a problem aimed at presenting or highlighting solution(s) to the analyzed issues.

A standard business case study provides insights into:

• General business/market conditions 
• The main problem faced 
• Methods applied 
• The outcomes gained using a specific tool or approach

Case studies (also called case reports) are also used in clinical settings to analyze patient outcomes outside of the business realm. 

But this is a topic for another time. In this post, we’ll focus on teaching you how to write and present a business case, plus share several case study PowerPoint templates and design tips! 

Why Case Studies are a Popular Marketing Technique 

Besides presenting a solution to an internal issue, case studies are often used as a content marketing technique . According to a 2020 Content Marketing Institute report, 69% of B2B marketers use case studies as part of their marketing mix.

A case study informs the reader about a possible solution and soft-sells the results, which can be achieved with your help (e.g., by using your software or by partnering with your specialist). 

For the above purpose, case studies work like a charm. Per the same report: 

• For 9% of marketers, case studies are also the best method for nurturing leads. 
• 23% admit that case studies are beneficial for improving conversions. 

Moreover, case studies also help improve your brand’s credibility, especially in the current fake news landscape and dubious claims made without proper credit. 

Ultimately, case studies naturally help build up more compelling, relatable stories and showcase your product benefits through the prism of extra social proof, courtesy of the case study subject. 

Most case studies come either as a slide deck or as a downloadable PDF document. 

Typically, you have several options to distribute your case study for maximum reach:

• Case study presentations — in-person, virtual, or pre-recorded, there are many times when a case study presentation comes in handy. For example, during client workshops, sales pitches, networking events, conferences, trade shows, etc. 
• Dedicated website page — highlighting case study examples on your website is a great way to convert middle-on-the-funnel prospects. Google’s Think With Google case study section is a great example of a web case study design done right.

• Blog case studies — data-driven storytelling is a staunch way to stand apart from your competition by providing unique insights, no other brand can tell. 
• Video case studies — video is a great medium for showcasing more complex business cases and celebrating customer success stories.

Once you decide on your case study format, the next step is collecting data and then translating it into a storyline. There are different case study methods and research approaches you can use to procure data. 

But let’s say you already have all your facts straight and need to organize them in a clean copy for your presentation deck. Here’s how you should do it. 

1. Identify the Problem 

Every compelling case study research starts with a problem statement definition. While in business settings, there’s no need to explain your methodology in-depth; you should still open your presentation with a quick problem recap slide.

Be sure to mention: 

• What’s the purpose of the case study? What will the audience learn? 
• Set the scene. Explain the before, aka the problems someone was facing. 
• Advertise the main issues and findings without highlighting specific details.

The above information should nicely fit in several paragraphs or 2-3 case study template slides

2. Explain the Solution 

The bulk of your case study copy and presentation slides should focus on the provided solution(s). This is the time to speak at length about how the subject went from before to the glorious after. 

Here are some writing prompts to help you articulate this better:

• State the subject’s main objective and goals. What outcomes were they after?
• Explain the main solution(s) provided. What was done? Why this, but not that? 
• Mention if they tried any alternatives. Why did those work? Why were you better?

This part may take the longest to write. Don’t rush it and reiterate several times. Sprinkle in some powerful words and catchphrases to make your copy more compelling.

3. Collect Testimonials 

Persuasive case studies feature the voice of customer (VoC) data — first-party testimonials and assessments of how well the solution works. These provide extra social proof and credibility to all the claims you are making. 

So plan and schedule interviews with your subjects to collect their input and testimonials. Also, design your case study interview questions in a way that lets you obtain quantifiable results.

4. Package The Information in a Slide Deck

Once you have a rough first draft, try different business case templates and designs to see how these help structure all the available information. 

As a rule of thumb, try to keep one big idea per slide. If you are talking about a solution, first present the general bullet points. Then give each solution a separate slide where you’ll provide more context and perhaps share some quantifiable results.

For example, if you look at case study presentation examples from AWS like this one about Stripe , you’ll notice that the slide deck has few texts and really focuses on the big picture, while the speaker provides extra context.

Need some extra case study presentation design help? Download our Business Case Study PowerPoint template with 100% editable slides. 

Your spoken presentation (and public speaking skills ) are equally if not more important than the case study copy and slide deck. To make a strong business case, follow these quick techniques. 

Focus on Telling a Great Story

A case study is a story of overcoming a challenge, and achieving something grand. Your delivery should reflect that. Step away from the standard “features => benefits” sales formula. Instead, make your customer the hero of the study. Describe the road they went through and how you’ve helped them succeed. 

The premises of your story can be as simple as:

• Help with overcoming a hurdle
• Gaining major impact
• Reaching a new milestone
• Solving a persisting issue no one else code 

Based on the above, create a clear story arc. Show where your hero started. Then explain what type of journey they went through. Inject some emotions into the mix to make your narrative more relatable and memorable. 

Experiment with Copywriting Formulas 

Copywriting is the art and science of organizing words into compelling and persuasive combinations that help readers retain the right ideas. 

To ensure that the audience retains the right takeaways from your case study presentation, you can try using some of the classic copywriting formulas to structure your delivery. These include:

• AIDCA — short for A ttention, I nterest, D esire, C onviction, and A ction. First, grab the audience’s attention by addressing the major problem. Next, pique their interest with some teaser facts. Spark their desire by showing that you know the right way out. Then, show a conviction that you know how to solve the issue—finally, prompt follow-up action such as contacting you to learn more. 
• PADS — is short for Problem, Agitation, Discredit, or Solution. This is more of a sales approach to case study narration. Again, you start with a problem, agitate about its importance, discredit why other solutions won’t cut it, and then present your option. 
• 4Ps — short for P roblem, P romise, P roof, P roposal. This is a middle-ground option that prioritizes storytelling over hard pitches. Set the scene first with a problem. Then make a promise of how you can solve it. Show proof in the form of numbers, testimonials, and different scenarios. Round it up with a proposal for getting the same outcomes. 

Take an Emotion-Inducing Perspective

The key to building a strong rapport with an audience is showing that you are one of them and fully understand what they are going through. 

One of the ways to build this connection is by speaking from an emotion-inducing perspective. This is best illustrated with an example: 

• A business owner went to the bank
• A business owner came into a bank branch 

In the second case, the wording prompts listeners to paint a mental picture from the perspective of the bank employees — a role you’d like them to relate to. By placing your audience in the right visual perspective, you can make them more receptive to your pitches. 

One common question that arises when creating a case study is determining its length. The length of a case study can vary depending on the complexity of the problem and the level of detail you want to provide. Here are some general guidelines to help you decide how long your case study should be:

• Concise and Informative: A good case study should be concise and to the point. Avoid unnecessary fluff and filler content. Focus on providing valuable information and insights.
• Tailor to Your Audience: Consider your target audience when deciding the length. If you’re presenting to a technical audience, you might include more in-depth technical details. For a non-technical audience, keep it more high-level and accessible.
• Cover Key Points: Ensure that your case study covers the key points effectively. These include the problem statement, the solution, and the outcomes. Provide enough information for the reader to understand the context and the significance of your case.
• Visuals: Visual elements such as charts, graphs, images, and diagrams can help convey information more effectively. Use visuals to supplement your written content and make complex information easier to understand.
• Engagement: Keep your audience engaged. A case study that is too long may lose the reader’s interest. Make sure the content is engaging and holds the reader’s attention throughout.
• Consider the Format: Depending on the format you choose (e.g., written document, presentation, video), the ideal length may vary. For written case studies, aim for a length that can be easily read in one sitting.

In general, a written case study for business purposes often falls in the range of 1,000 to 2,000 words. However, this is not a strict rule, and the length can be shorter or longer based on the factors mentioned above.

Our brain is wired to process images much faster than text. So when you are presenting a case study, always look for an opportunity to tie in some illustrations such as: 

• A product demo/preview
• Processes chart 
• Call-out quotes or numbers
• Custom illustrations or graphics 
• Customer or team headshots 

Use icons to minimize the volume of text. Also, opt for readable fonts that can look good in a smaller size too.

To better understand how to create an effective business case study, let’s explore some examples of successful case studies:

Apple Inc.: Apple’s case study on the launch of the iPhone is a classic example. It covers the problem of a changing mobile phone market, the innovative solution (the iPhone), and the outstanding outcomes, such as market dominance and increased revenue.

Tesla, Inc.: Tesla’s case study on electric vehicles and sustainable transportation is another compelling example. It addresses the problem of environmental concerns and the need for sustainable transportation solutions. The case study highlights Tesla’s electric cars as the solution and showcases the positive impact on reducing carbon emissions.

Amazon.com: Amazon’s case study on customer-centricity is a great illustration of how the company transformed the e-commerce industry. It discusses the problem of customer dissatisfaction with traditional retail, Amazon’s customer-focused approach as the solution, and the remarkable outcomes in terms of customer loyalty and market growth.

Coca-Cola: Coca-Cola’s case study on brand evolution is a valuable example. It outlines the challenge of adapting to changing consumer preferences and demographics. The case study demonstrates how Coca-Cola continually reinvented its brand to stay relevant and succeed in the global market.

Airbnb: Airbnb’s case study on the sharing economy is an intriguing example. It addresses the problem of travelers seeking unique and affordable accommodations. The case study presents Airbnb’s platform as the solution and highlights its impact on the hospitality industry and the sharing economy.

These examples showcase the diversity of case studies in the business world and how they effectively communicate problems, solutions, and outcomes. When creating your own business case study, use these examples as inspiration and tailor your approach to your specific industry and target audience.

Finally, practice your case study presentation several times — solo and together with your team — to collect feedback and make last-minute refinements! 

1. Business Case Study PowerPoint Template

To efficiently create a Business Case Study it’s important to ask all the right questions and document everything necessary, therefore this PowerPoint Template will provide all the sections you need.

Use This Template

2. Medical Case Study PowerPoint Template

3. Medical Infographics PowerPoint Templates

4. Success Story PowerPoint Template

5. Detective Research PowerPoint Template

6. Animated Clinical Study PowerPoint Templates

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Blog Business How to Present a Case Study like a Pro (With Examples)

How to Present a Case Study like a Pro (With Examples)

Written by: Danesh Ramuthi Sep 07, 2023

Okay, let’s get real: case studies can be kinda snooze-worthy. But guess what? They don’t have to be!

In this article, I will cover every element that transforms a mere report into a compelling case study, from selecting the right metrics to using persuasive narrative techniques.

And if you’re feeling a little lost, don’t worry! There are cool tools like Venngage’s Case Study Creator to help you whip up something awesome, even if you’re short on time. Plus, the pre-designed case study templates are like instant polish because let’s be honest, everyone loves a shortcut.

Click to jump ahead: 

What is a case study presentation?

What is the purpose of presenting a case study, how to structure a case study presentation, how long should a case study presentation be, 5 case study presentation examples with templates, 6 tips for delivering an effective case study presentation, 5 common mistakes to avoid in a case study presentation, how to present a case study faqs.

A case study presentation involves a comprehensive examination of a specific subject, which could range from an individual, group, location, event, organization or phenomenon.

They’re like puzzles you get to solve with the audience, all while making you think outside the box.

Unlike a basic report or whitepaper, the purpose of a case study presentation is to stimulate critical thinking among the viewers. 

The primary objective of a case study is to provide an extensive and profound comprehension of the chosen topic. You don’t just throw numbers at your audience. You use examples and real-life cases to make you think and see things from different angles.

The primary purpose of presenting a case study is to offer a comprehensive, evidence-based argument that informs, persuades and engages your audience.

Here’s the juicy part: presenting that case study can be your secret weapon. Whether you’re pitching a groundbreaking idea to a room full of suits or trying to impress your professor with your A-game, a well-crafted case study can be the magic dust that sprinkles brilliance over your words.

Think of it like digging into a puzzle you can’t quite crack . A case study lets you explore every piece, turn it over and see how it fits together. This close-up look helps you understand the whole picture, not just a blurry snapshot.

It’s also your chance to showcase how you analyze things, step by step, until you reach a conclusion. It’s all about being open and honest about how you got there.

Besides, presenting a case study gives you an opportunity to connect data and real-world scenarios in a compelling narrative. It helps to make your argument more relatable and accessible, increasing its impact on your audience.

One of the contexts where case studies can be very helpful is during the job interview. In some job interviews, you as candidates may be asked to present a case study as part of the selection process.

Having a case study presentation prepared allows the candidate to demonstrate their ability to understand complex issues, formulate strategies and communicate their ideas effectively.

The way you present a case study can make all the difference in how it’s received. A well-structured presentation not only holds the attention of your audience but also ensures that your key points are communicated clearly and effectively.

In this section, let’s go through the key steps that’ll help you structure your case study presentation for maximum impact.

Let’s get into it. 

Open with an introductory overview 

Start by introducing the subject of your case study and its relevance. Explain why this case study is important and who would benefit from the insights gained. This is your opportunity to grab your audience’s attention.

Explain the problem in question

Dive into the problem or challenge that the case study focuses on. Provide enough background information for the audience to understand the issue. If possible, quantify the problem using data or metrics to show the magnitude or severity.

Detail the solutions to solve the problem

After outlining the problem, describe the steps taken to find a solution. This could include the methodology, any experiments or tests performed and the options that were considered. Make sure to elaborate on why the final solution was chosen over the others.

Key stakeholders Involved

Talk about the individuals, groups or organizations that were directly impacted by or involved in the problem and its solution. 

Stakeholders may experience a range of outcomes—some may benefit, while others could face setbacks.

For example, in a business transformation case study, employees could face job relocations or changes in work culture, while shareholders might be looking at potential gains or losses.

Discuss the key results & outcomes

Discuss the results of implementing the solution. Use data and metrics to back up your statements. Did the solution meet its objectives? What impact did it have on the stakeholders? Be honest about any setbacks or areas for improvement as well.

Include visuals to support your analysis

Visual aids can be incredibly effective in helping your audience grasp complex issues. Utilize charts, graphs, images or video clips to supplement your points. Make sure to explain each visual and how it contributes to your overall argument.

Pie charts illustrate the proportion of different components within a whole, useful for visualizing market share, budget allocation or user demographics.

This is particularly useful especially if you’re displaying survey results in your case study presentation.

Stacked charts on the other hand are perfect for visualizing composition and trends. This is great for analyzing things like customer demographics, product breakdowns or budget allocation in your case study.

Consider this example of a stacked bar chart template. It provides a straightforward summary of the top-selling cake flavors across various locations, offering a quick and comprehensive view of the data.

Not the chart you’re looking for? Browse Venngage’s gallery of chart templates to find the perfect one that’ll captivate your audience and level up your data storytelling.

Recommendations and next steps

Wrap up by providing recommendations based on the case study findings. Outline the next steps that stakeholders should take to either expand on the success of the project or address any remaining challenges.

Acknowledgments and references

Thank the people who contributed to the case study and helped in the problem-solving process. Cite any external resources, reports or data sets that contributed to your analysis.

Feedback & Q&A session

Open the floor for questions and feedback from your audience. This allows for further discussion and can provide additional insights that may not have been considered previously.

Closing remarks

Conclude the presentation by summarizing the key points and emphasizing the takeaways. Thank your audience for their time and participation and express your willingness to engage in further discussions or collaborations on the subject.

Well, the length of a case study presentation can vary depending on the complexity of the topic and the needs of your audience. However, a typical business or academic presentation often lasts between 15 to 30 minutes. 

This time frame usually allows for a thorough explanation of the case while maintaining audience engagement. However, always consider leaving a few minutes at the end for a Q&A session to address any questions or clarify points made during the presentation.

When it comes to presenting a compelling case study, having a well-structured template can be a game-changer. 

It helps you organize your thoughts, data and findings in a coherent and visually pleasing manner. 

Not all case studies are created equal and different scenarios require distinct approaches for maximum impact. 

To save you time and effort, I have curated a list of 5 versatile case study presentation templates, each designed for specific needs and audiences. 

Here are some best case study presentation examples that showcase effective strategies for engaging your audience and conveying complex information clearly.

1 . Lab report case study template

Ever feel like your research gets lost in a world of endless numbers and jargon? Lab case studies are your way out!

Think of it as building a bridge between your cool experiment and everyone else. It’s more than just reporting results – it’s explaining the “why” and “how” in a way that grabs attention and makes sense.

This lap report template acts as a blueprint for your report, guiding you through each essential section (introduction, methods, results, etc.) in a logical order.

Want to present your research like a pro? Browse our research presentation template gallery for creative inspiration!

2. Product case study template

It’s time you ditch those boring slideshows and bullet points because I’ve got a better way to win over clients: product case study templates.

Instead of just listing features and benefits, you get to create a clear and concise story that shows potential clients exactly what your product can do for them. It’s like painting a picture they can easily visualize, helping them understand the value your product brings to the table.

Grab the template below, fill in the details, and watch as your product’s impact comes to life!

3. Content marketing case study template

In digital marketing, showcasing your accomplishments is as vital as achieving them. 

A well-crafted case study not only acts as a testament to your successes but can also serve as an instructional tool for others. 

With this coral content marketing case study template—a perfect blend of vibrant design and structured documentation, you can narrate your marketing triumphs effectively.

4. Case study psychology template

Understanding how people tick is one of psychology’s biggest quests and case studies are like magnifying glasses for the mind. They offer in-depth looks at real-life behaviors, emotions and thought processes, revealing fascinating insights into what makes us human.

Writing a top-notch case study, though, can be a challenge. It requires careful organization, clear presentation and meticulous attention to detail. That’s where a good case study psychology template comes in handy.

Think of it as a helpful guide, taking care of formatting and structure while you focus on the juicy content. No more wrestling with layouts or margins – just pour your research magic into crafting a compelling narrative.

5. Lead generation case study template

Lead generation can be a real head-scratcher. But here’s a little help: a lead generation case study.

Think of it like a friendly handshake and a confident resume all rolled into one. It’s your chance to showcase your expertise, share real-world successes and offer valuable insights. Potential clients get to see your track record, understand your approach and decide if you’re the right fit.

No need to start from scratch, though. This lead generation case study template guides you step-by-step through crafting a clear, compelling narrative that highlights your wins and offers actionable tips for others. Fill in the gaps with your specific data and strategies, and voilà! You’ve got a powerful tool to attract new customers.

Related: 15+ Professional Case Study Examples [Design Tips + Templates]

So, you’ve spent hours crafting the perfect case study and are now tasked with presenting it. Crafting the case study is only half the battle; delivering it effectively is equally important. 

Whether you’re facing a room of executives, academics or potential clients, how you present your findings can make a significant difference in how your work is received. 

Forget boring reports and snooze-inducing presentations! Let’s make your case study sing. Here are some key pointers to turn information into an engaging and persuasive performance:

• Know your audience : Tailor your presentation to the knowledge level and interests of your audience. Remember to use language and examples that resonate with them.
• Rehearse : Rehearsing your case study presentation is the key to a smooth delivery and for ensuring that you stay within the allotted time. Practice helps you fine-tune your pacing, hone your speaking skills with good word pronunciations and become comfortable with the material, leading to a more confident, conversational and effective presentation.
• Start strong : Open with a compelling introduction that grabs your audience’s attention. You might want to use an interesting statistic, a provocative question or a brief story that sets the stage for your case study.
• Be clear and concise : Avoid jargon and overly complex sentences. Get to the point quickly and stay focused on your objectives.
• Use visual aids : Incorporate slides with graphics, charts or videos to supplement your verbal presentation. Make sure they are easy to read and understand.
• Tell a story : Use storytelling techniques to make the case study more engaging. A well-told narrative can help you make complex data more relatable and easier to digest.

Ditching the dry reports and slide decks? Venngage’s case study templates let you wow customers with your solutions and gain insights to improve your business plan. Pre-built templates, visual magic and customer captivation – all just a click away. Go tell your story and watch them say “wow!”

Nailed your case study, but want to make your presentation even stronger? Avoid these common mistakes to ensure your audience gets the most out of it:

Overloading with information

A case study is not an encyclopedia. Overloading your presentation with excessive data, text or jargon can make it cumbersome and difficult for the audience to digest the key points. Stick to what’s essential and impactful. Need help making your data clear and impactful? Our data presentation templates can help! Find clear and engaging visuals to showcase your findings.

Lack of structure

Jumping haphazardly between points or topics can confuse your audience. A well-structured presentation, with a logical flow from introduction to conclusion, is crucial for effective communication.

Ignoring the audience

Different audiences have different needs and levels of understanding. Failing to adapt your presentation to your audience can result in a disconnect and a less impactful presentation.

Poor visual elements

While content is king, poor design or lack of visual elements can make your case study dull or hard to follow. Make sure you use high-quality images, graphs and other visual aids to support your narrative.

Not focusing on results

A case study aims to showcase a problem and its solution, but what most people care about are the results. Failing to highlight or adequately explain the outcomes can make your presentation fall flat.

How to start a case study presentation?

Starting a case study presentation effectively involves a few key steps:

• Grab attention : Open with a hook—an intriguing statistic, a provocative question or a compelling visual—to engage your audience from the get-go.
• Set the stage : Briefly introduce the subject, context and relevance of the case study to give your audience an idea of what to expect.
• Outline objectives : Clearly state what the case study aims to achieve. Are you solving a problem, proving a point or showcasing a success?
• Agenda : Give a quick outline of the key sections or topics you’ll cover to help the audience follow along.
• Set expectations : Let your audience know what you want them to take away from the presentation, whether it’s knowledge, inspiration or a call to action.

How to present a case study on PowerPoint and on Google Slides?

Presenting a case study on PowerPoint and Google Slides involves a structured approach for clarity and impact using presentation slides :

• Title slide : Start with a title slide that includes the name of the case study, your name and any relevant institutional affiliations.
• Introduction : Follow with a slide that outlines the problem or situation your case study addresses. Include a hook to engage the audience.
• Objectives : Clearly state the goals of the case study in a dedicated slide.
• Findings : Use charts, graphs and bullet points to present your findings succinctly.
• Analysis : Discuss what the findings mean, drawing on supporting data or secondary research as necessary.
• Conclusion : Summarize key takeaways and results.
• Q&A : End with a slide inviting questions from the audience.

What’s the role of analysis in a case study presentation?

The role of analysis in a case study presentation is to interpret the data and findings, providing context and meaning to them. 

It helps your audience understand the implications of the case study, connects the dots between the problem and the solution and may offer recommendations for future action.

Is it important to include real data and results in the presentation?

Yes, including real data and results in a case study presentation is crucial to show experience,  credibility and impact. Authentic data lends weight to your findings and conclusions, enabling the audience to trust your analysis and take your recommendations more seriously

How do I conclude a case study presentation effectively?

To conclude a case study presentation effectively, summarize the key findings, insights and recommendations in a clear and concise manner. 

End with a strong call-to-action or a thought-provoking question to leave a lasting impression on your audience.

What’s the best way to showcase data in a case study presentation ?

The best way to showcase data in a case study presentation is through visual aids like charts, graphs and infographics which make complex information easily digestible, engaging and creative. 

Don’t just report results, visualize them! This template for example lets you transform your social media case study into a captivating infographic that sparks conversation.

Choose the type of visual that best represents the data you’re showing; for example, use bar charts for comparisons or pie charts for parts of a whole. 

Ensure that the visuals are high-quality and clearly labeled, so the audience can quickly grasp the key points. 

Keep the design consistent and simple, avoiding clutter or overly complex visuals that could distract from the message.

Choose a template that perfectly suits your case study where you can utilize different visual aids for maximum impact. 

Need more inspiration on how to turn numbers into impact with the help of infographics? Our ready-to-use infographic templates take the guesswork out of creating visual impact for your case studies with just a few clicks.

Related: 10+ Case Study Infographic Templates That Convert

Congrats on mastering the art of compelling case study presentations! This guide has equipped you with all the essentials, from structure and nuances to avoiding common pitfalls. You’re ready to impress any audience, whether in the boardroom, the classroom or beyond.

And remember, you’re not alone in this journey. Venngage’s Case Study Creator is your trusty companion, ready to elevate your presentations from ordinary to extraordinary. So, let your confidence shine, leverage your newly acquired skills and prepare to deliver presentations that truly resonate.

Go forth and make a lasting impact!

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Problem-Solving in Business: CASE STUDIES

• ABOUT THIS LIBGUIDE
• PROBLEM-SOLVING DEFINED AND WHY IT IS IMPORTANT
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How to Write a Case Study: The Compelling Step-by-Step Guide

Is there a poignant pain point that needs to be addressed in your company or industry? Do you have a possible solution but want to test your theory? Why not turn this drive into a transformative learning experience and an opportunity to produce a high-quality business case study? However, before that occurs, you may wonder how to write a case study.

You may also be thinking about why you should produce one at all. Did you know that case studies are impactful and the fifth most used type of content in marketing , despite being more resource-intensive to produce?

Below, we’ll delve into what a case study is, its benefits, and how to approach business case study writing:

Definition of a Written case study and its Purpose

A case study is a research method that involves a detailed and comprehensive examination of a specific real-life situation. It’s often used in various fields, including business, education, economics, and sociology, to understand a complex issue better. 

It typically includes an in-depth analysis of the subject and an examination of its context and background information, incorporating data from multiple sources, such as interviews, observations, and existing literature. 

The ultimate aim is to provide a rich and detailed account of a situation to identify patterns and relationships, generate new insights and understanding, illustrate theories, or test hypotheses.

Importance of Business Case Study Writing

As such an in-depth exploration into a subject with potentially far-reaching consequences, a case study has benefits to offer various stakeholders in the organisation leading it.

• Business Founders: Use business case study writing to highlight real-life examples of companies or individuals who have benefited from their products or services, providing potential customers with a tangible demonstration of the value their business can bring. It can be effective for attracting new clients or investors by showcasing thought leadership and building trust and credibility.
• Marketers through case studies and encourage them to take action: Marketers use a case studies writer to showcase the success of a particular product, service, or marketing campaign. They can use persuasive storytelling to engage the reader, whether it’s consumers, clients, or potential partners.
• Researchers: They allow researchers to gain insight into real-world scenarios, explore a variety of perspectives, and develop a nuanced understanding of the factors that contribute to success or failure. Additionally, case studies provide practical business recommendations and help build a body of knowledge in a particular field.

How to Write a Case Study – The Key Elements 

Considering how to write a case study can seem overwhelming at first. However, looking at it in terms of its constituent parts will help you to get started, focus on the key issue(s), and execute it efficiently and effectively.

Problem or Challenge Statement

A problem statement concisely describes a specific issue or problem that a written case study aims to address. It sets the stage for the rest of the case study and provides context for the reader. 

Here are some steps to help you write a case study problem statement:

• Identify the problem or issue that the case study will focus on.
• Research the problem to better understand its context, causes, and effects.
• Define the problem clearly and concisely. Be specific and avoid generalisations.
• State the significance of the problem: Explain why the issue is worth solving. Consider the impact it has on the individual, organisation, or industry.
• Provide background information that will help the reader understand the context of the problem.
• Keep it concise: A problem statement should be brief and to the point. Avoid going into too much detail – leave this for the body of the case study!

Here is an example of a problem statement for a case study:

“ The XYZ Company is facing a problem with declining sales and increasing customer complaints. Despite improving the customer experience, the company has yet to reverse the trend . This case study will examine the causes of the problem and propose solutions to improve sales and customer satisfaction. “

Solutions and interventions

Business case study writing provides a solution or intervention that identifies the best course of action to address the problem or issue described in the problem statement. 

Here are some steps to help you write a case study solution or intervention:

• Identify the objective , which should be directly related to the problem statement.
• Analyse the data, which could include data from interviews, observations, and existing literature.
• Evaluate alternatives that have been proposed or implemented in similar situations, considering their strengths, weaknesses, and impact.
• Choose the best solution based on the objective and data analysis. Remember to consider factors such as feasibility, cost, and potential impact.
• Justify the solution by explaining how it addresses the problem and why it’s the best solution with supportive evidence.
• Provide a detailed, step-by-step plan of action that considers the resources required, timeline, and expected outcomes.

Example of a solution or intervention for a case study:

“ To address the problem of declining sales and increasing customer complaints at the XYZ Company, we propose a comprehensive customer experience improvement program. “

“ This program will involve the following steps:

• Conducting customer surveys to gather feedback and identify areas for improvement
• Implementing training programs for employees to improve customer service skills
• Revising the company’s product offerings to meet customer needs better
• Implementing a customer loyalty program to encourage repeat business “

“ These steps will improve customer satisfaction and increase sales. We expect a 10% increase in sales within the first year of implementation, based on similar programs implemented by other companies in the industry. “

Possible Results and outcomes

Writing case study results and outcomes involves presenting the impact of the proposed solution or intervention. 

Here are some steps to help you write case study results and outcomes:

• Evaluate the solution by measuring its effectiveness in addressing the problem statement. That could involve collecting data, conducting surveys, or monitoring key performance indicators.
• Present the results clearly and concisely, using graphs, charts, and tables to represent the data where applicable visually. Be sure to include both quantitative and qualitative results.
• Compare the results to the expectations set in the solution or intervention section. Explain any discrepancies and why they occurred.
• Discuss the outcomes and impact of the solution, considering the benefits and drawbacks and what lessons can be learned.
• Provide recommendations for future action based on the results. For example, what changes should be made to improve the solution, or what additional steps should be taken?

Example of results and outcomes for a case study:

“ The customer experience improvement program implemented at the XYZ Company was successful. We found significant improvement in employee health and productivity. The program, which included on-site exercise classes and healthy food options, led to a 25% decrease in employee absenteeism and a 15% increase in productivity . “

“ Employee satisfaction with the program was high, with 90% reporting an improved work-life balance. Despite initial costs, the program proved to be cost-effective in the long run, with decreased healthcare costs and increased employee retention. The company plans to continue the program and explore expanding it to other offices .”

Case Study Key takeaways

Key takeaways are the most important and relevant insights and lessons that can be drawn from a case study. Key takeaways can help readers understand the most significant outcomes and impacts of the solution or intervention. 

Here are some steps to help you write case study key takeaways:

• Summarise the problem that was addressed and the solution that was proposed.
• Highlight the most significant results from the case study.
• Identify the key insights and lessons , including what makes the case study unique and relevant to others.
• Consider the broader implications of the outcomes for the industry or field.
• Present the key takeaways clearly and concisely , using bullet points or a list format to make the information easy to understand.

Example of key takeaways for a case study:

• The customer experience improvement program at XYZ Company successfully increased customer satisfaction and sales.
• Employee training and product development were critical components of the program’s success.
• The program resulted in a 20% increase in repeat business, demonstrating the value of a customer loyalty program.
• Despite some initial challenges, the program proved cost-effective in the long run.
• The case study results demonstrate the importance of investing in customer experience to improve business outcomes.

Steps for a Case Study Writer to Follow

If you still feel lost, the good news is as a case studies writer; there is a blueprint you can follow to complete your work. It may be helpful at first to proceed step-by-step and let your research and analysis guide the process:

• Select a suitable case study subject: Ask yourself what the purpose of the business case study is. Is it to illustrate a specific problem and solution, showcase a success story, or demonstrate best practices in a particular field? Based on this, you can select a suitable subject by researching and evaluating various options.
• Research and gather information: We have already covered this in detail above. However, always ensure all data is relevant, valid, and comes from credible sources. Research is the crux of your written case study, and you can’t compromise on its quality.
• Develop a clear and concise problem statement: Follow the guide above, and don’t rush to finalise it. It will set the tone and lay the foundation for the entire study.
• Detail the solution or intervention: Follow the steps above to detail your proposed solution or intervention.
• Present the results and outcomes: Remember that a case study is an unbiased test of how effectively a particular solution addresses an issue. Not all case studies are meant to end in a resounding success. You can often learn more from a loss than a win.
• Include key takeaways and conclusions: Follow the steps above to detail your proposed business case study solution or intervention.

Tips for How to Write a Case Study

Here are some bonus tips for how to write a case study. These tips will help improve the quality of your work and the impact it will have on readers:

• Use a storytelling format: Just because a case study is research-based doesn’t mean it has to be boring and detached. Telling a story will engage readers and help them better identify with the problem statement and see the value in the outcomes. Framing it as a narrative in a real-world context will make it more relatable and memorable.
• Include quotes and testimonials from stakeholders: This will add credibility and depth to your written case study. It also helps improve engagement and will give your written work an emotional impact.
• Use visuals and graphics to support your narrative: Humans are better at processing visually presented data than endless walls of black-on-white text. Visual aids will make it easier to grasp key concepts and make your case study more engaging and enjoyable. It breaks up the text and allows readers to identify key findings and highlights quickly.
• Edit and revise your case study for clarity and impact: As a long and involved project, it can be easy to lose your narrative while in the midst of it. Multiple rounds of editing are vital to ensure your narrative holds, that your message gets across, and that your spelling and grammar are correct, of course!

Our Final Thoughts

A written case study can be a powerful tool in your writing arsenal. It’s a great way to showcase your knowledge in a particular business vertical, industry, or situation. Not only is it an effective way to build authority and engage an audience, but also to explore an important problem and the possible solutions to it. It’s a win-win, even if the proposed solution doesn’t have the outcome you expect. So now that you know more about how to write a case study, try it or talk to us for further guidance.

Are you ready to write your own case study?

Begin by bookmarking this article, so you can come back to it. And for more writing advice and support, read our resource guides  and  blog content . If you are unsure, please reach out with questions, and we will provide the answers or assistance you need.

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5 Benefits of Learning Through the Case Study Method

• 28 Nov 2023

While several factors make HBS Online unique —including a global Community and real-world outcomes —active learning through the case study method rises to the top.

In a 2023 City Square Associates survey, 74 percent of HBS Online learners who also took a course from another provider said HBS Online’s case method and real-world examples were better by comparison.

Here’s a primer on the case method, five benefits you could gain, and how to experience it for yourself.

Access your free e-book today.

What Is the Harvard Business School Case Study Method?

The case study method , or case method , is a learning technique in which you’re presented with a real-world business challenge and asked how you’d solve it. After working through it yourself and with peers, you’re told how the scenario played out.

HBS pioneered the case method in 1922. Shortly before, in 1921, the first case was written.

“How do you go into an ambiguous situation and get to the bottom of it?” says HBS Professor Jan Rivkin, former senior associate dean and chair of HBS's master of business administration (MBA) program, in a video about the case method . “That skill—the skill of figuring out a course of inquiry to choose a course of action—that skill is as relevant today as it was in 1921.”

Originally developed for the in-person MBA classroom, HBS Online adapted the case method into an engaging, interactive online learning experience in 2014.

In HBS Online courses , you learn about each case from the business professional who experienced it. After reviewing their videos, you’re prompted to take their perspective and explain how you’d handle their situation.

You then get to read peers’ responses, “star” them, and comment to further the discussion. Afterward, you learn how the professional handled it and their key takeaways.

HBS Online’s adaptation of the case method incorporates the famed HBS “cold call,” in which you’re called on at random to make a decision without time to prepare.

“Learning came to life!” said Sheneka Balogun , chief administration officer and chief of staff at LeMoyne-Owen College, of her experience taking the Credential of Readiness (CORe) program . “The videos from the professors, the interactive cold calls where you were randomly selected to participate, and the case studies that enhanced and often captured the essence of objectives and learning goals were all embedded in each module. This made learning fun, engaging, and student-friendly.”

If you’re considering taking a course that leverages the case study method, here are five benefits you could experience.

5 Benefits of Learning Through Case Studies

1. take new perspectives.

The case method prompts you to consider a scenario from another person’s perspective. To work through the situation and come up with a solution, you must consider their circumstances, limitations, risk tolerance, stakeholders, resources, and potential consequences to assess how to respond.

Taking on new perspectives not only can help you navigate your own challenges but also others’. Putting yourself in someone else’s situation to understand their motivations and needs can go a long way when collaborating with stakeholders.

2. Hone Your Decision-Making Skills

Another skill you can build is the ability to make decisions effectively . The case study method forces you to use limited information to decide how to handle a problem—just like in the real world.

Throughout your career, you’ll need to make difficult decisions with incomplete or imperfect information—and sometimes, you won’t feel qualified to do so. Learning through the case method allows you to practice this skill in a low-stakes environment. When facing a real challenge, you’ll be better prepared to think quickly, collaborate with others, and present and defend your solution.

3. Become More Open-Minded

As you collaborate with peers on responses, it becomes clear that not everyone solves problems the same way. Exposing yourself to various approaches and perspectives can help you become a more open-minded professional.

When you’re part of a diverse group of learners from around the world, your experiences, cultures, and backgrounds contribute to a range of opinions on each case.

On the HBS Online course platform, you’re prompted to view and comment on others’ responses, and discussion is encouraged. This practice of considering others’ perspectives can make you more receptive in your career.

“You’d be surprised at how much you can learn from your peers,” said Ratnaditya Jonnalagadda , a software engineer who took CORe.

In addition to interacting with peers in the course platform, Jonnalagadda was part of the HBS Online Community , where he networked with other professionals and continued discussions sparked by course content.

“You get to understand your peers better, and students share examples of businesses implementing a concept from a module you just learned,” Jonnalagadda said. “It’s a very good way to cement the concepts in one's mind.”

4. Enhance Your Curiosity

One byproduct of taking on different perspectives is that it enables you to picture yourself in various roles, industries, and business functions.

“Each case offers an opportunity for students to see what resonates with them, what excites them, what bores them, which role they could imagine inhabiting in their careers,” says former HBS Dean Nitin Nohria in the Harvard Business Review . “Cases stimulate curiosity about the range of opportunities in the world and the many ways that students can make a difference as leaders.”

Through the case method, you can “try on” roles you may not have considered and feel more prepared to change or advance your career .

5. Build Your Self-Confidence

Finally, learning through the case study method can build your confidence. Each time you assume a business leader’s perspective, aim to solve a new challenge, and express and defend your opinions and decisions to peers, you prepare to do the same in your career.

According to a 2022 City Square Associates survey , 84 percent of HBS Online learners report feeling more confident making business decisions after taking a course.

“Self-confidence is difficult to teach or coach, but the case study method seems to instill it in people,” Nohria says in the Harvard Business Review . “There may well be other ways of learning these meta-skills, such as the repeated experience gained through practice or guidance from a gifted coach. However, under the direction of a masterful teacher, the case method can engage students and help them develop powerful meta-skills like no other form of teaching.”

How to Experience the Case Study Method

If the case method seems like a good fit for your learning style, experience it for yourself by taking an HBS Online course. Offerings span seven subject areas, including:

• Business essentials
• Leadership and management
• Entrepreneurship and innovation
• Finance and accounting
• Business in society

No matter which course or credential program you choose, you’ll examine case studies from real business professionals, work through their challenges alongside peers, and gain valuable insights to apply to your career.

Are you interested in discovering how HBS Online can help advance your career? Explore our course catalog and download our free guide —complete with interactive workbook sections—to determine if online learning is right for you and which course to take.

About the Author

How to master the seven-step problem-solving process

In this episode of the McKinsey Podcast , Simon London speaks with Charles Conn, CEO of venture-capital firm Oxford Sciences Innovation, and McKinsey senior partner Hugo Sarrazin about the complexities of different problem-solving strategies.

Podcast transcript

Simon London: Hello, and welcome to this episode of the McKinsey Podcast , with me, Simon London. What’s the number-one skill you need to succeed professionally? Salesmanship, perhaps? Or a facility with statistics? Or maybe the ability to communicate crisply and clearly? Many would argue that at the very top of the list comes problem solving: that is, the ability to think through and come up with an optimal course of action to address any complex challenge—in business, in public policy, or indeed in life.

Looked at this way, it’s no surprise that McKinsey takes problem solving very seriously, testing for it during the recruiting process and then honing it, in McKinsey consultants, through immersion in a structured seven-step method. To discuss the art of problem solving, I sat down in California with McKinsey senior partner Hugo Sarrazin and also with Charles Conn. Charles is a former McKinsey partner, entrepreneur, executive, and coauthor of the book Bulletproof Problem Solving: The One Skill That Changes Everything [John Wiley & Sons, 2018].

Charles and Hugo, welcome to the podcast. Thank you for being here.

Hugo Sarrazin: Our pleasure.

Charles Conn: It’s terrific to be here.

Simon London: Problem solving is a really interesting piece of terminology. It could mean so many different things. I have a son who’s a teenage climber. They talk about solving problems. Climbing is problem solving. Charles, when you talk about problem solving, what are you talking about?

Charles Conn: For me, problem solving is the answer to the question “What should I do?” It’s interesting when there’s uncertainty and complexity, and when it’s meaningful because there are consequences. Your son’s climbing is a perfect example. There are consequences, and it’s complicated, and there’s uncertainty—can he make that grab? I think we can apply that same frame almost at any level. You can think about questions like “What town would I like to live in?” or “Should I put solar panels on my roof?”

You might think that’s a funny thing to apply problem solving to, but in my mind it’s not fundamentally different from business problem solving, which answers the question “What should my strategy be?” Or problem solving at the policy level: “How do we combat climate change?” “Should I support the local school bond?” I think these are all part and parcel of the same type of question, “What should I do?”

I’m a big fan of structured problem solving. By following steps, we can more clearly understand what problem it is we’re solving, what are the components of the problem that we’re solving, which components are the most important ones for us to pay attention to, which analytic techniques we should apply to those, and how we can synthesize what we’ve learned back into a compelling story. That’s all it is, at its heart.

I think sometimes when people think about seven steps, they assume that there’s a rigidity to this. That’s not it at all. It’s actually to give you the scope for creativity, which often doesn’t exist when your problem solving is muddled.

Simon London: You were just talking about the seven-step process. That’s what’s written down in the book, but it’s a very McKinsey process as well. Without getting too deep into the weeds, let’s go through the steps, one by one. You were just talking about problem definition as being a particularly important thing to get right first. That’s the first step. Hugo, tell us about that.

Hugo Sarrazin: It is surprising how often people jump past this step and make a bunch of assumptions. The most powerful thing is to step back and ask the basic questions—“What are we trying to solve? What are the constraints that exist? What are the dependencies?” Let’s make those explicit and really push the thinking and defining. At McKinsey, we spend an enormous amount of time in writing that little statement, and the statement, if you’re a logic purist, is great. You debate. “Is it an ‘or’? Is it an ‘and’? What’s the action verb?” Because all these specific words help you get to the heart of what matters.

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Simon London: So this is a concise problem statement.

Hugo Sarrazin: Yeah. It’s not like “Can we grow in Japan?” That’s interesting, but it is “What, specifically, are we trying to uncover in the growth of a product in Japan? Or a segment in Japan? Or a channel in Japan?” When you spend an enormous amount of time, in the first meeting of the different stakeholders, debating this and having different people put forward what they think the problem definition is, you realize that people have completely different views of why they’re here. That, to me, is the most important step.

Charles Conn: I would agree with that. For me, the problem context is critical. When we understand “What are the forces acting upon your decision maker? How quickly is the answer needed? With what precision is the answer needed? Are there areas that are off limits or areas where we would particularly like to find our solution? Is the decision maker open to exploring other areas?” then you not only become more efficient, and move toward what we call the critical path in problem solving, but you also make it so much more likely that you’re not going to waste your time or your decision maker’s time.

How often do especially bright young people run off with half of the idea about what the problem is and start collecting data and start building models—only to discover that they’ve really gone off half-cocked.

Hugo Sarrazin: Yeah.

Charles Conn: And in the wrong direction.

Simon London: OK. So step one—and there is a real art and a structure to it—is define the problem. Step two, Charles?

Charles Conn: My favorite step is step two, which is to use logic trees to disaggregate the problem. Every problem we’re solving has some complexity and some uncertainty in it. The only way that we can really get our team working on the problem is to take the problem apart into logical pieces.

What we find, of course, is that the way to disaggregate the problem often gives you an insight into the answer to the problem quite quickly. I love to do two or three different cuts at it, each one giving a bit of a different insight into what might be going wrong. By doing sensible disaggregations, using logic trees, we can figure out which parts of the problem we should be looking at, and we can assign those different parts to team members.

Simon London: What’s a good example of a logic tree on a sort of ratable problem?

Charles Conn: Maybe the easiest one is the classic profit tree. Almost in every business that I would take a look at, I would start with a profit or return-on-assets tree. In its simplest form, you have the components of revenue, which are price and quantity, and the components of cost, which are cost and quantity. Each of those can be broken out. Cost can be broken into variable cost and fixed cost. The components of price can be broken into what your pricing scheme is. That simple tree often provides insight into what’s going on in a business or what the difference is between that business and the competitors.

If we add the leg, which is “What’s the asset base or investment element?”—so profit divided by assets—then we can ask the question “Is the business using its investments sensibly?” whether that’s in stores or in manufacturing or in transportation assets. I hope we can see just how simple this is, even though we’re describing it in words.

When I went to work with Gordon Moore at the Moore Foundation, the problem that he asked us to look at was “How can we save Pacific salmon?” Now, that sounds like an impossible question, but it was amenable to precisely the same type of disaggregation and allowed us to organize what became a 15-year effort to improve the likelihood of good outcomes for Pacific salmon.

Simon London: Now, is there a danger that your logic tree can be impossibly large? This, I think, brings us onto the third step in the process, which is that you have to prioritize.

Charles Conn: Absolutely. The third step, which we also emphasize, along with good problem definition, is rigorous prioritization—we ask the questions “How important is this lever or this branch of the tree in the overall outcome that we seek to achieve? How much can I move that lever?” Obviously, we try and focus our efforts on ones that have a big impact on the problem and the ones that we have the ability to change. With salmon, ocean conditions turned out to be a big lever, but not one that we could adjust. We focused our attention on fish habitats and fish-harvesting practices, which were big levers that we could affect.

People spend a lot of time arguing about branches that are either not important or that none of us can change. We see it in the public square. When we deal with questions at the policy level—“Should you support the death penalty?” “How do we affect climate change?” “How can we uncover the causes and address homelessness?”—it’s even more important that we’re focusing on levers that are big and movable.

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Simon London: Let’s move swiftly on to step four. You’ve defined your problem, you disaggregate it, you prioritize where you want to analyze—what you want to really look at hard. Then you got to the work plan. Now, what does that mean in practice?

Hugo Sarrazin: Depending on what you’ve prioritized, there are many things you could do. It could be breaking the work among the team members so that people have a clear piece of the work to do. It could be defining the specific analyses that need to get done and executed, and being clear on time lines. There’s always a level-one answer, there’s a level-two answer, there’s a level-three answer. Without being too flippant, I can solve any problem during a good dinner with wine. It won’t have a whole lot of backing.

Simon London: Not going to have a lot of depth to it.

Hugo Sarrazin: No, but it may be useful as a starting point. If the stakes are not that high, that could be OK. If it’s really high stakes, you may need level three and have the whole model validated in three different ways. You need to find a work plan that reflects the level of precision, the time frame you have, and the stakeholders you need to bring along in the exercise.

Charles Conn: I love the way you’ve described that, because, again, some people think of problem solving as a linear thing, but of course what’s critical is that it’s iterative. As you say, you can solve the problem in one day or even one hour.

Charles Conn: We encourage our teams everywhere to do that. We call it the one-day answer or the one-hour answer. In work planning, we’re always iterating. Every time you see a 50-page work plan that stretches out to three months, you know it’s wrong. It will be outmoded very quickly by that learning process that you described. Iterative problem solving is a critical part of this. Sometimes, people think work planning sounds dull, but it isn’t. It’s how we know what’s expected of us and when we need to deliver it and how we’re progressing toward the answer. It’s also the place where we can deal with biases. Bias is a feature of every human decision-making process. If we design our team interactions intelligently, we can avoid the worst sort of biases.

Simon London: Here we’re talking about cognitive biases primarily, right? It’s not that I’m biased against you because of your accent or something. These are the cognitive biases that behavioral sciences have shown we all carry around, things like anchoring, overoptimism—these kinds of things.

Both: Yeah.

Charles Conn: Availability bias is the one that I’m always alert to. You think you’ve seen the problem before, and therefore what’s available is your previous conception of it—and we have to be most careful about that. In any human setting, we also have to be careful about biases that are based on hierarchies, sometimes called sunflower bias. I’m sure, Hugo, with your teams, you make sure that the youngest team members speak first. Not the oldest team members, because it’s easy for people to look at who’s senior and alter their own creative approaches.

Hugo Sarrazin: It’s helpful, at that moment—if someone is asserting a point of view—to ask the question “This was true in what context?” You’re trying to apply something that worked in one context to a different one. That can be deadly if the context has changed, and that’s why organizations struggle to change. You promote all these people because they did something that worked well in the past, and then there’s a disruption in the industry, and they keep doing what got them promoted even though the context has changed.

Simon London: Right. Right.

Hugo Sarrazin: So it’s the same thing in problem solving.

Charles Conn: And it’s why diversity in our teams is so important. It’s one of the best things about the world that we’re in now. We’re likely to have people from different socioeconomic, ethnic, and national backgrounds, each of whom sees problems from a slightly different perspective. It is therefore much more likely that the team will uncover a truly creative and clever approach to problem solving.

Simon London: Let’s move on to step five. You’ve done your work plan. Now you’ve actually got to do the analysis. The thing that strikes me here is that the range of tools that we have at our disposal now, of course, is just huge, particularly with advances in computation, advanced analytics. There’s so many things that you can apply here. Just talk about the analysis stage. How do you pick the right tools?

Charles Conn: For me, the most important thing is that we start with simple heuristics and explanatory statistics before we go off and use the big-gun tools. We need to understand the shape and scope of our problem before we start applying these massive and complex analytical approaches.

Simon London: Would you agree with that?

Hugo Sarrazin: I agree. I think there are so many wonderful heuristics. You need to start there before you go deep into the modeling exercise. There’s an interesting dynamic that’s happening, though. In some cases, for some types of problems, it is even better to set yourself up to maximize your learning. Your problem-solving methodology is test and learn, test and learn, test and learn, and iterate. That is a heuristic in itself, the A/B testing that is used in many parts of the world. So that’s a problem-solving methodology. It’s nothing different. It just uses technology and feedback loops in a fast way. The other one is exploratory data analysis. When you’re dealing with a large-scale problem, and there’s so much data, I can get to the heuristics that Charles was talking about through very clever visualization of data.

You test with your data. You need to set up an environment to do so, but don’t get caught up in neural-network modeling immediately. You’re testing, you’re checking—“Is the data right? Is it sound? Does it make sense?”—before you launch too far.

Simon London: You do hear these ideas—that if you have a big enough data set and enough algorithms, they’re going to find things that you just wouldn’t have spotted, find solutions that maybe you wouldn’t have thought of. Does machine learning sort of revolutionize the problem-solving process? Or are these actually just other tools in the toolbox for structured problem solving?

Charles Conn: It can be revolutionary. There are some areas in which the pattern recognition of large data sets and good algorithms can help us see things that we otherwise couldn’t see. But I do think it’s terribly important we don’t think that this particular technique is a substitute for superb problem solving, starting with good problem definition. Many people use machine learning without understanding algorithms that themselves can have biases built into them. Just as 20 years ago, when we were doing statistical analysis, we knew that we needed good model definition, we still need a good understanding of our algorithms and really good problem definition before we launch off into big data sets and unknown algorithms.

Simon London: Step six. You’ve done your analysis.

Charles Conn: I take six and seven together, and this is the place where young problem solvers often make a mistake. They’ve got their analysis, and they assume that’s the answer, and of course it isn’t the answer. The ability to synthesize the pieces that came out of the analysis and begin to weave those into a story that helps people answer the question “What should I do?” This is back to where we started. If we can’t synthesize, and we can’t tell a story, then our decision maker can’t find the answer to “What should I do?”

Simon London: But, again, these final steps are about motivating people to action, right?

Charles Conn: Yeah.

Simon London: I am slightly torn about the nomenclature of problem solving because it’s on paper, right? Until you motivate people to action, you actually haven’t solved anything.

Charles Conn: I love this question because I think decision-making theory, without a bias to action, is a waste of time. Everything in how I approach this is to help people take action that makes the world better.

Simon London: Hence, these are absolutely critical steps. If you don’t do this well, you’ve just got a bunch of analysis.

Charles Conn: We end up in exactly the same place where we started, which is people speaking across each other, past each other in the public square, rather than actually working together, shoulder to shoulder, to crack these important problems.

Simon London: In the real world, we have a lot of uncertainty—arguably, increasing uncertainty. How do good problem solvers deal with that?

Hugo Sarrazin: At every step of the process. In the problem definition, when you’re defining the context, you need to understand those sources of uncertainty and whether they’re important or not important. It becomes important in the definition of the tree.

You need to think carefully about the branches of the tree that are more certain and less certain as you define them. They don’t have equal weight just because they’ve got equal space on the page. Then, when you’re prioritizing, your prioritization approach may put more emphasis on things that have low probability but huge impact—or, vice versa, may put a lot of priority on things that are very likely and, hopefully, have a reasonable impact. You can introduce that along the way. When you come back to the synthesis, you just need to be nuanced about what you’re understanding, the likelihood.

Often, people lack humility in the way they make their recommendations: “This is the answer.” They’re very precise, and I think we would all be well-served to say, “This is a likely answer under the following sets of conditions” and then make the level of uncertainty clearer, if that is appropriate. It doesn’t mean you’re always in the gray zone; it doesn’t mean you don’t have a point of view. It just means that you can be explicit about the certainty of your answer when you make that recommendation.

Simon London: So it sounds like there is an underlying principle: “Acknowledge and embrace the uncertainty. Don’t pretend that it isn’t there. Be very clear about what the uncertainties are up front, and then build that into every step of the process.”

Hugo Sarrazin: Every step of the process.

Simon London: Yeah. We have just walked through a particular structured methodology for problem solving. But, of course, this is not the only structured methodology for problem solving. One that is also very well-known is design thinking, which comes at things very differently. So, Hugo, I know you have worked with a lot of designers. Just give us a very quick summary. Design thinking—what is it, and how does it relate?

Hugo Sarrazin: It starts with an incredible amount of empathy for the user and uses that to define the problem. It does pause and go out in the wild and spend an enormous amount of time seeing how people interact with objects, seeing the experience they’re getting, seeing the pain points or joy—and uses that to infer and define the problem.

Simon London: Problem definition, but out in the world.

Hugo Sarrazin: With an enormous amount of empathy. There’s a huge emphasis on empathy. Traditional, more classic problem solving is you define the problem based on an understanding of the situation. This one almost presupposes that we don’t know the problem until we go see it. The second thing is you need to come up with multiple scenarios or answers or ideas or concepts, and there’s a lot of divergent thinking initially. That’s slightly different, versus the prioritization, but not for long. Eventually, you need to kind of say, “OK, I’m going to converge again.” Then you go and you bring things back to the customer and get feedback and iterate. Then you rinse and repeat, rinse and repeat. There’s a lot of tactile building, along the way, of prototypes and things like that. It’s very iterative.

Simon London: So, Charles, are these complements or are these alternatives?

Charles Conn: I think they’re entirely complementary, and I think Hugo’s description is perfect. When we do problem definition well in classic problem solving, we are demonstrating the kind of empathy, at the very beginning of our problem, that design thinking asks us to approach. When we ideate—and that’s very similar to the disaggregation, prioritization, and work-planning steps—we do precisely the same thing, and often we use contrasting teams, so that we do have divergent thinking. The best teams allow divergent thinking to bump them off whatever their initial biases in problem solving are. For me, design thinking gives us a constant reminder of creativity, empathy, and the tactile nature of problem solving, but it’s absolutely complementary, not alternative.

Simon London: I think, in a world of cross-functional teams, an interesting question is do people with design-thinking backgrounds really work well together with classical problem solvers? How do you make that chemistry happen?

Hugo Sarrazin: Yeah, it is not easy when people have spent an enormous amount of time seeped in design thinking or user-centric design, whichever word you want to use. If the person who’s applying classic problem-solving methodology is very rigid and mechanical in the way they’re doing it, there could be an enormous amount of tension. If there’s not clarity in the role and not clarity in the process, I think having the two together can be, sometimes, problematic.

The second thing that happens often is that the artifacts the two methodologies try to gravitate toward can be different. Classic problem solving often gravitates toward a model; design thinking migrates toward a prototype. Rather than writing a big deck with all my supporting evidence, they’ll bring an example, a thing, and that feels different. Then you spend your time differently to achieve those two end products, so that’s another source of friction.

Now, I still think it can be an incredibly powerful thing to have the two—if there are the right people with the right mind-set, if there is a team that is explicit about the roles, if we’re clear about the kind of outcomes we are attempting to bring forward. There’s an enormous amount of collaborativeness and respect.

Simon London: But they have to respect each other’s methodology and be prepared to flex, maybe, a little bit, in how this process is going to work.

Hugo Sarrazin: Absolutely.

Simon London: The other area where, it strikes me, there could be a little bit of a different sort of friction is this whole concept of the day-one answer, which is what we were just talking about in classical problem solving. Now, you know that this is probably not going to be your final answer, but that’s how you begin to structure the problem. Whereas I would imagine your design thinkers—no, they’re going off to do their ethnographic research and get out into the field, potentially for a long time, before they come back with at least an initial hypothesis.

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Hugo Sarrazin: That is a great callout, and that’s another difference. Designers typically will like to soak into the situation and avoid converging too quickly. There’s optionality and exploring different options. There’s a strong belief that keeps the solution space wide enough that you can come up with more radical ideas. If there’s a large design team or many designers on the team, and you come on Friday and say, “What’s our week-one answer?” they’re going to struggle. They’re not going to be comfortable, naturally, to give that answer. It doesn’t mean they don’t have an answer; it’s just not where they are in their thinking process.

Simon London: I think we are, sadly, out of time for today. But Charles and Hugo, thank you so much.

Charles Conn: It was a pleasure to be here, Simon.

Hugo Sarrazin: It was a pleasure. Thank you.

Simon London: And thanks, as always, to you, our listeners, for tuning into this episode of the McKinsey Podcast . If you want to learn more about problem solving, you can find the book, Bulletproof Problem Solving: The One Skill That Changes Everything , online or order it through your local bookstore. To learn more about McKinsey, you can of course find us at McKinsey.com.

Charles Conn is CEO of Oxford Sciences Innovation and an alumnus of McKinsey’s Sydney office. Hugo Sarrazin is a senior partner in the Silicon Valley office, where Simon London, a member of McKinsey Publishing, is also based.

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Do Your Students Know How to Analyze a Case—Really?

Explore more.

• Case Teaching
• Student Engagement

J ust as actors, athletes, and musicians spend thousands of hours practicing their craft, business students benefit from practicing their critical-thinking and decision-making skills. Students, however, often have limited exposure to real-world problem-solving scenarios; they need more opportunities to practice tackling tough business problems and deciding on—and executing—the best solutions.

To ensure students have ample opportunity to develop these critical-thinking and decision-making skills, we believe business faculty should shift from teaching mostly principles and ideas to mostly applications and practices. And in doing so, they should emphasize the case method, which simulates real-world management challenges and opportunities for students.

To help educators facilitate this shift and help students get the most out of case-based learning, we have developed a framework for analyzing cases. We call it PACADI (Problem, Alternatives, Criteria, Analysis, Decision, Implementation); it can improve learning outcomes by helping students better solve and analyze business problems, make decisions, and develop and implement strategy. Here, we’ll explain why we developed this framework, how it works, and what makes it an effective learning tool.

The Case for Cases: Helping Students Think Critically

Business students must develop critical-thinking and analytical skills, which are essential to their ability to make good decisions in functional areas such as marketing, finance, operations, and information technology, as well as to understand the relationships among these functions. For example, the decisions a marketing manager must make include strategic planning (segments, products, and channels); execution (digital messaging, media, branding, budgets, and pricing); and operations (integrated communications and technologies), as well as how to implement decisions across functional areas.

Faculty can use many types of cases to help students develop these skills. These include the prototypical “paper cases”; live cases , which feature guest lecturers such as entrepreneurs or corporate leaders and on-site visits; and multimedia cases , which immerse students into real situations. Most cases feature an explicit or implicit decision that a protagonist—whether it is an individual, a group, or an organization—must make.

For students new to learning by the case method—and even for those with case experience—some common issues can emerge; these issues can sometimes be a barrier for educators looking to ensure the best possible outcomes in their case classrooms. Unsure of how to dig into case analysis on their own, students may turn to the internet or rely on former students for “answers” to assigned cases. Or, when assigned to provide answers to assignment questions in teams, students might take a divide-and-conquer approach but not take the time to regroup and provide answers that are consistent with one other.

To help address these issues, which we commonly experienced in our classes, we wanted to provide our students with a more structured approach for how they analyze cases—and to really think about making decisions from the protagonists’ point of view. We developed the PACADI framework to address this need.

PACADI: A Six-Step Decision-Making Approach

The PACADI framework is a six-step decision-making approach that can be used in lieu of traditional end-of-case questions. It offers a structured, integrated, and iterative process that requires students to analyze case information, apply business concepts to derive valuable insights, and develop recommendations based on these insights.

Prior to beginning a PACADI assessment, which we’ll outline here, students should first prepare a two-paragraph summary—a situation analysis—that highlights the key case facts. Then, we task students with providing a five-page PACADI case analysis (excluding appendices) based on the following six steps.

Step 1: Problem definition. What is the major challenge, problem, opportunity, or decision that has to be made? If there is more than one problem, choose the most important one. Often when solving the key problem, other issues will surface and be addressed. The problem statement may be framed as a question; for example, How can brand X improve market share among millennials in Canada? Usually the problem statement has to be re-written several times during the analysis of a case as students peel back the layers of symptoms or causation.

Step 2: Alternatives. Identify in detail the strategic alternatives to address the problem; three to five options generally work best. Alternatives should be mutually exclusive, realistic, creative, and feasible given the constraints of the situation. Doing nothing or delaying the decision to a later date are not considered acceptable alternatives.

Step 3: Criteria. What are the key decision criteria that will guide decision-making? In a marketing course, for example, these may include relevant marketing criteria such as segmentation, positioning, advertising and sales, distribution, and pricing. Financial criteria useful in evaluating the alternatives should be included—for example, income statement variables, customer lifetime value, payback, etc. Students must discuss their rationale for selecting the decision criteria and the weights and importance for each factor.

Step 4: Analysis. Provide an in-depth analysis of each alternative based on the criteria chosen in step three. Decision tables using criteria as columns and alternatives as rows can be helpful. The pros and cons of the various choices as well as the short- and long-term implications of each may be evaluated. Best, worst, and most likely scenarios can also be insightful.

Step 5: Decision. Students propose their solution to the problem. This decision is justified based on an in-depth analysis. Explain why the recommendation made is the best fit for the criteria.

Step 6: Implementation plan. Sound business decisions may fail due to poor execution. To enhance the likeliness of a successful project outcome, students describe the key steps (activities) to implement the recommendation, timetable, projected costs, expected competitive reaction, success metrics, and risks in the plan.

“Students note that using the PACADI framework yields ‘aha moments’—they learned something surprising in the case that led them to think differently about the problem and their proposed solution.”

PACADI’s Benefits: Meaningfully and Thoughtfully Applying Business Concepts

The PACADI framework covers all of the major elements of business decision-making, including implementation, which is often overlooked. By stepping through the whole framework, students apply relevant business concepts and solve management problems via a systematic, comprehensive approach; they’re far less likely to surface piecemeal responses.

As students explore each part of the framework, they may realize that they need to make changes to a previous step. For instance, when working on implementation, students may realize that the alternative they selected cannot be executed or will not be profitable, and thus need to rethink their decision. Or, they may discover that the criteria need to be revised since the list of decision factors they identified is incomplete (for example, the factors may explain key marketing concerns but fail to address relevant financial considerations) or is unrealistic (for example, they suggest a 25 percent increase in revenues without proposing an increased promotional budget).

In addition, the PACADI framework can be used alongside quantitative assignments, in-class exercises, and business and management simulations. The structured, multi-step decision framework encourages careful and sequential analysis to solve business problems. Incorporating PACADI as an overarching decision-making method across different projects will ultimately help students achieve desired learning outcomes. As a practical “beyond-the-classroom” tool, the PACADI framework is not a contrived course assignment; it reflects the decision-making approach that managers, executives, and entrepreneurs exercise daily. Case analysis introduces students to the real-world process of making business decisions quickly and correctly, often with limited information. This framework supplies an organized and disciplined process that students can readily defend in writing and in class discussions.

PACADI in Action: An Example

Here’s an example of how students used the PACADI framework for a recent case analysis on CVS, a large North American drugstore chain.

The CVS Prescription for Customer Value*

PACADI Stage

Summary Response

How should CVS Health evolve from the “drugstore of your neighborhood” to the “drugstore of your future”?

Alternatives

A1. Kaizen (continuous improvement)

A2. Product development

A3. Market development

A4. Personalization (micro-targeting)

Criteria (include weights)

C1. Customer value: service, quality, image, and price (40%)

C2. Customer obsession (20%)

C3. Growth through related businesses (20%)

C4. Customer retention and customer lifetime value (20%)

Each alternative was analyzed by each criterion using a Customer Value Assessment Tool

Alternative 4 (A4): Personalization was selected. This is operationalized via: segmentation—move toward segment-of-1 marketing; geodemographics and lifestyle emphasis; predictive data analysis; relationship marketing; people, principles, and supply chain management; and exceptional customer service.

Implementation

Partner with leading medical school

Curbside pick-up

Pet pharmacy

E-newsletter for customers and employees

Employee incentive program

CVS beauty days

Expand to Latin America and Caribbean

Healthier/happier corner

Holiday toy drives/community outreach

*Source: A. Weinstein, Y. Rodriguez, K. Sims, R. Vergara, “The CVS Prescription for Superior Customer Value—A Case Study,” Back to the Future: Revisiting the Foundations of Marketing from Society for Marketing Advances, West Palm Beach, FL (November 2, 2018).

Results of Using the PACADI Framework

When faculty members at our respective institutions at Nova Southeastern University (NSU) and the University of North Carolina Wilmington have used the PACADI framework, our classes have been more structured and engaging. Students vigorously debate each element of their decision and note that this framework yields an “aha moment”—they learned something surprising in the case that led them to think differently about the problem and their proposed solution.

These lively discussions enhance individual and collective learning. As one external metric of this improvement, we have observed a 2.5 percent increase in student case grade performance at NSU since this framework was introduced.

Tips to Get Started

The PACADI approach works well in in-person, online, and hybrid courses. This is particularly important as more universities have moved to remote learning options. Because students have varied educational and cultural backgrounds, work experience, and familiarity with case analysis, we recommend that faculty members have students work on their first case using this new framework in small teams (two or three students). Additional analyses should then be solo efforts.

To use PACADI effectively in your classroom, we suggest the following:

Advise your students that your course will stress critical thinking and decision-making skills, not just course concepts and theory.

Use a varied mix of case studies. As marketing professors, we often address consumer and business markets; goods, services, and digital commerce; domestic and global business; and small and large companies in a single MBA course.

As a starting point, provide a short explanation (about 20 to 30 minutes) of the PACADI framework with a focus on the conceptual elements. You can deliver this face to face or through videoconferencing.

Give students an opportunity to practice the case analysis methodology via an ungraded sample case study. Designate groups of five to seven students to discuss the case and the six steps in breakout sessions (in class or via Zoom).

Ensure case analyses are weighted heavily as a grading component. We suggest 30–50 percent of the overall course grade.

Once cases are graded, debrief with the class on what they did right and areas needing improvement (30- to 40-minute in-person or Zoom session).

Encourage faculty teams that teach common courses to build appropriate instructional materials, grading rubrics, videos, sample cases, and teaching notes.

When selecting case studies, we have found that the best ones for PACADI analyses are about 15 pages long and revolve around a focal management decision. This length provides adequate depth yet is not protracted. Some of our tested and favorite marketing cases include Brand W , Hubspot , Kraft Foods Canada , TRSB(A) , and Whiskey & Cheddar .

Art Weinstein , Ph.D., is a professor of marketing at Nova Southeastern University, Fort Lauderdale, Florida. He has published more than 80 scholarly articles and papers and eight books on customer-focused marketing strategy. His latest book is Superior Customer Value—Finding and Keeping Customers in the Now Economy . Dr. Weinstein has consulted for many leading technology and service companies.

Herbert V. Brotspies , D.B.A., is an adjunct professor of marketing at Nova Southeastern University. He has over 30 years’ experience as a vice president in marketing, strategic planning, and acquisitions for Fortune 50 consumer products companies working in the United States and internationally. His research interests include return on marketing investment, consumer behavior, business-to-business strategy, and strategic planning.

John T. Gironda , Ph.D., is an assistant professor of marketing at the University of North Carolina Wilmington. His research has been published in Industrial Marketing Management, Psychology & Marketing , and Journal of Marketing Management . He has also presented at major marketing conferences including the American Marketing Association, Academy of Marketing Science, and Society for Marketing Advances.

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How to write a case study — examples, templates, and tools

It’s a marketer’s job to communicate the effectiveness of a product or service to potential and current customers to convince them to buy and keep business moving. One of the best methods for doing this is to share success stories that are relatable to prospects and customers based on their pain points, experiences, and overall needs.

That’s where case studies come in. Case studies are an essential part of a content marketing plan. These in-depth stories of customer experiences are some of the most effective at demonstrating the value of a product or service. Yet many marketers don’t use them, whether because of their regimented formats or the process of customer involvement and approval.

A case study is a powerful tool for showcasing your hard work and the success your customer achieved. But writing a great case study can be difficult if you’ve never done it before or if it’s been a while. This guide will show you how to write an effective case study and provide real-world examples and templates that will keep readers engaged and support your business.

In this article, you’ll learn:

What is a case study?

How to write a case study, case study templates, case study examples, case study tools.

A case study is the detailed story of a customer’s experience with a product or service that demonstrates their success and often includes measurable outcomes. Case studies are used in a range of fields and for various reasons, from business to academic research. They’re especially impactful in marketing as brands work to convince and convert consumers with relatable, real-world stories of actual customer experiences.

The best case studies tell the story of a customer’s success, including the steps they took, the results they achieved, and the support they received from a brand along the way. To write a great case study, you need to:

• Celebrate the customer and make them — not a product or service — the star of the story.
• Craft the story with specific audiences or target segments in mind so that the story of one customer will be viewed as relatable and actionable for another customer.
• Write copy that is easy to read and engaging so that readers will gain the insights and messages intended.
• Follow a standardized format that includes all of the essentials a potential customer would find interesting and useful.
• Support all of the claims for success made in the story with data in the forms of hard numbers and customer statements.

Case studies are a type of review but more in depth, aiming to show — rather than just tell — the positive experiences that customers have with a brand. Notably, 89% of consumers read reviews before deciding to buy, and 79% view case study content as part of their purchasing process. When it comes to B2B sales, 52% of buyers rank case studies as an important part of their evaluation process.

Telling a brand story through the experience of a tried-and-true customer matters. The story is relatable to potential new customers as they imagine themselves in the shoes of the company or individual featured in the case study. Showcasing previous customers can help new ones see themselves engaging with your brand in the ways that are most meaningful to them.

Besides sharing the perspective of another customer, case studies stand out from other content marketing forms because they are based on evidence. Whether pulling from client testimonials or data-driven results, case studies tend to have more impact on new business because the story contains information that is both objective (data) and subjective (customer experience) — and the brand doesn’t sound too self-promotional.

Case studies are unique in that there’s a fairly standardized format for telling a customer’s story. But that doesn’t mean there isn’t room for creativity. It’s all about making sure that teams are clear on the goals for the case study — along with strategies for supporting content and channels — and understanding how the story fits within the framework of the company’s overall marketing goals.

Here are the basic steps to writing a good case study.

1. Identify your goal

Start by defining exactly who your case study will be designed to help. Case studies are about specific instances where a company works with a customer to achieve a goal. Identify which customers are likely to have these goals, as well as other needs the story should cover to appeal to them.

The answer is often found in one of the buyer personas that have been constructed as part of your larger marketing strategy. This can include anything from new leads generated by the marketing team to long-term customers that are being pressed for cross-sell opportunities. In all of these cases, demonstrating value through a relatable customer success story can be part of the solution to conversion.

2. Choose your client or subject

Who you highlight matters. Case studies tie brands together that might otherwise not cross paths. A writer will want to ensure that the highlighted customer aligns with their own company’s brand identity and offerings. Look for a customer with positive name recognition who has had great success with a product or service and is willing to be an advocate.

The client should also match up with the identified target audience. Whichever company or individual is selected should be a reflection of other potential customers who can see themselves in similar circumstances, having the same problems and possible solutions.

Some of the most compelling case studies feature customers who:

• Switch from one product or service to another while naming competitors that missed the mark.
• Experience measurable results that are relatable to others in a specific industry.
• Represent well-known brands and recognizable names that are likely to compel action.
• Advocate for a product or service as a champion and are well-versed in its advantages.

Whoever or whatever customer is selected, marketers must ensure they have the permission of the company involved before getting started. Some brands have strict review and approval procedures for any official marketing or promotional materials that include their name. Acquiring those approvals in advance will prevent any miscommunication or wasted effort if there is an issue with their legal or compliance teams.

3. Conduct research and compile data

Substantiating the claims made in a case study — either by the marketing team or customers themselves — adds validity to the story. To do this, include data and feedback from the client that defines what success looks like. This can be anything from demonstrating return on investment (ROI) to a specific metric the customer was striving to improve. Case studies should prove how an outcome was achieved and show tangible results that indicate to the customer that your solution is the right one.

This step could also include customer interviews. Make sure that the people being interviewed are key stakeholders in the purchase decision or deployment and use of the product or service that is being highlighted. Content writers should work off a set list of questions prepared in advance. It can be helpful to share these with the interviewees beforehand so they have time to consider and craft their responses. One of the best interview tactics to keep in mind is to ask questions where yes and no are not natural answers. This way, your subject will provide more open-ended responses that produce more meaningful content.

4. Choose the right format

There are a number of different ways to format a case study. Depending on what you hope to achieve, one style will be better than another. However, there are some common elements to include, such as:

• An engaging headline
• A subject and customer introduction
• The unique challenge or challenges the customer faced
• The solution the customer used to solve the problem
• The results achieved
• Data and statistics to back up claims of success
• A strong call to action (CTA) to engage with the vendor

It’s also important to note that while case studies are traditionally written as stories, they don’t have to be in a written format. Some companies choose to get more creative with their case studies and produce multimedia content, depending on their audience and objectives. Case study formats can include traditional print stories, interactive web or social content, data-heavy infographics, professionally shot videos, podcasts, and more.

5. Write your case study

We’ll go into more detail later about how exactly to write a case study, including templates and examples. Generally speaking, though, there are a few things to keep in mind when writing your case study.

• Be clear and concise. Readers want to get to the point of the story quickly and easily, and they’ll be looking to see themselves reflected in the story right from the start.
• Provide a big picture. Always make sure to explain who the client is, their goals, and how they achieved success in a short introduction to engage the reader.
• Construct a clear narrative. Stick to the story from the perspective of the customer and what they needed to solve instead of just listing product features or benefits.
• Leverage graphics. Incorporating infographics, charts, and sidebars can be a more engaging and eye-catching way to share key statistics and data in readable ways.
• Offer the right amount of detail. Most case studies are one or two pages with clear sections that a reader can skim to find the information most important to them.
• Include data to support claims. Show real results — both facts and figures and customer quotes — to demonstrate credibility and prove the solution works.

6. Promote your story

Marketers have a number of options for distribution of a freshly minted case study. Many brands choose to publish case studies on their website and post them on social media. This can help support SEO and organic content strategies while also boosting company credibility and trust as visitors see that other businesses have used the product or service.

Marketers are always looking for quality content they can use for lead generation. Consider offering a case study as gated content behind a form on a landing page or as an offer in an email message. One great way to do this is to summarize the content and tease the full story available for download after the user takes an action.

Sales teams can also leverage case studies, so be sure they are aware that the assets exist once they’re published. Especially when it comes to larger B2B sales, companies often ask for examples of similar customer challenges that have been solved.

Now that you’ve learned a bit about case studies and what they should include, you may be wondering how to start creating great customer story content. Here are a couple of templates you can use to structure your case study.

Template 1 — Challenge-solution-result format

• Start with an engaging title. This should be fewer than 70 characters long for SEO best practices. One of the best ways to approach the title is to include the customer’s name and a hint at the challenge they overcame in the end.
• Create an introduction. Lead with an explanation as to who the customer is, the need they had, and the opportunity they found with a specific product or solution. Writers can also suggest the success the customer experienced with the solution they chose.
• Present the challenge. This should be several paragraphs long and explain the problem the customer faced and the issues they were trying to solve. Details should tie into the company’s products and services naturally. This section needs to be the most relatable to the reader so they can picture themselves in a similar situation.
• Share the solution. Explain which product or service offered was the ideal fit for the customer and why. Feel free to delve into their experience setting up, purchasing, and onboarding the solution.
• Explain the results. Demonstrate the impact of the solution they chose by backing up their positive experience with data. Fill in with customer quotes and tangible, measurable results that show the effect of their choice.
• Ask for action. Include a CTA at the end of the case study that invites readers to reach out for more information, try a demo, or learn more — to nurture them further in the marketing pipeline. What you ask of the reader should tie directly into the goals that were established for the case study in the first place.

Template 2 — Data-driven format

• Start with an engaging title. Be sure to include a statistic or data point in the first 70 characters. Again, it’s best to include the customer’s name as part of the title.
• Create an overview. Share the customer’s background and a short version of the challenge they faced. Present the reason a particular product or service was chosen, and feel free to include quotes from the customer about their selection process.
• Present data point 1. Isolate the first metric that the customer used to define success and explain how the product or solution helped to achieve this goal. Provide data points and quotes to substantiate the claim that success was achieved.
• Present data point 2. Isolate the second metric that the customer used to define success and explain what the product or solution did to achieve this goal. Provide data points and quotes to substantiate the claim that success was achieved.
• Present data point 3. Isolate the final metric that the customer used to define success and explain what the product or solution did to achieve this goal. Provide data points and quotes to substantiate the claim that success was achieved.
• Summarize the results. Reiterate the fact that the customer was able to achieve success thanks to a specific product or service. Include quotes and statements that reflect customer satisfaction and suggest they plan to continue using the solution.
• Ask for action. Include a CTA at the end of the case study that asks readers to reach out for more information, try a demo, or learn more — to further nurture them in the marketing pipeline. Again, remember that this is where marketers can look to convert their content into action with the customer.

While templates are helpful, seeing a case study in action can also be a great way to learn. Here are some examples of how Adobe customers have experienced success.

Juniper Networks

One example is the Adobe and Juniper Networks case study , which puts the reader in the customer’s shoes. The beginning of the story quickly orients the reader so that they know exactly who the article is about and what they were trying to achieve. Solutions are outlined in a way that shows Adobe Experience Manager is the best choice and a natural fit for the customer. Along the way, quotes from the client are incorporated to help add validity to the statements. The results in the case study are conveyed with clear evidence of scale and volume using tangible data.

The story of Lenovo’s journey with Adobe is one that spans years of planning, implementation, and rollout. The Lenovo case study does a great job of consolidating all of this into a relatable journey that other enterprise organizations can see themselves taking, despite the project size. This case study also features descriptive headers and compelling visual elements that engage the reader and strengthen the content.

Tata Consulting

When it comes to using data to show customer results, this case study does an excellent job of conveying details and numbers in an easy-to-digest manner. Bullet points at the start break up the content while also helping the reader understand exactly what the case study will be about. Tata Consulting used Adobe to deliver elevated, engaging content experiences for a large telecommunications client of its own — an objective that’s relatable for a lot of companies.

Case studies are a vital tool for any marketing team as they enable you to demonstrate the value of your company’s products and services to others. They help marketers do their job and add credibility to a brand trying to promote its solutions by using the experiences and stories of real customers.

When you’re ready to get started with a case study:

• Think about a few goals you’d like to accomplish with your content.
• Make a list of successful clients that would be strong candidates for a case study.
• Reach out to the client to get their approval and conduct an interview.
• Gather the data to present an engaging and effective customer story.

Adobe can help

There are several Adobe products that can help you craft compelling case studies. Adobe Experience Platform helps you collect data and deliver great customer experiences across every channel. Once you’ve created your case studies, Experience Platform will help you deliver the right information to the right customer at the right time for maximum impact.

To learn more, watch the Adobe Experience Platform story .

Keep in mind that the best case studies are backed by data. That’s where Adobe Real-Time Customer Data Platform and Adobe Analytics come into play. With Real-Time CDP, you can gather the data you need to build a great case study and target specific customers to deliver the content to the right audience at the perfect moment.

Watch the Real-Time CDP overview video to learn more.

Finally, Adobe Analytics turns real-time data into real-time insights. It helps your business collect and synthesize data from multiple platforms to make more informed decisions and create the best case study possible.

Request a demo to learn more about Adobe Analytics.

https://business.adobe.com/blog/perspectives/b2b-ecommerce-10-case-studies-inspire-you

https://business.adobe.com/blog/basics/business-case

https://business.adobe.com/blog/basics/what-is-real-time-analytics

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How To Solve Case Study? (A Strategy By IIM L Student That Works Every Time!)

Table of content: 

• Step 1: Identify the problem statement

Step 2: Propose solutions with a pinch of creativity

Step 3: establish the scale and impact of the solution.

“Case study competitions” - Something that is arguably one of the most valuable parts of your MBA life. But this may be daunting for many. Maybe you’re not sure which case competitions to participate in, so you pile too much on your plate. Maybe you’re not sure about the right way to solve a case study. In this article, we’ll break down everything you need to know about acing a case study competition, from scratch! 

A case study competition can be an academic or corporate competition in which participants come together to solve either a real-world case or a framed case that is presented. We present to you Muskan Atar, who will walk you through her tested strategy to solve case study competitions and win them in style!

Framework to solve case studies

After participating in 7-8 case competitions, I realized I had been unconsciously solving it using the same framework. It is very similar to the framework used for product management cases. Hence, it didn't disappoint me. 

Step 1: Identify the problem statement 

Case competitions like Accenture Strategy Case Connect and Colgate Transcend provide an exact problem statement with the expected outcome. But, in most cases, we must dive deep to break down the problem statement and identify the potential causes. 

Like, for Colgate Transcend, the problem statement was (summary) -

Should Colgate diversify into Electric Tooth Brush (ETB) Segment? If yes, then how?

Here, we identified the problems through secondary research (reports from consultancy firms) and primary research (customer surveys). The problem statement identified were:

• Low awareness of ETB 
• Low willingness to pay
• High competition from existing players

After identifying the problems, we need to establish whether solving them is actually worth it or not. We did this by:

• Expected Sales, Market Size, and Expected Growth Rate of identified customer segment
• Increasing willingness to upgrade life (Market Trend)
• High adaptability to technological changes (Market Trend)

Other methods of identifying problem statements are Focus Groups, Customer Interviews, Journey Analyzers, BCG matrix, Value Chain Analysis, PESTEL, SWOT(W part), Porter's Five Forces, Annual Reports, etc.

Given the short time for case competitions, I think the most efficient method is first-hand experience. Rather than starting from scratch, it is better to identify the problems as a customer and collect more data on the same.

Further, this data can be represented in the form of - Customer Personas, Key Insights, Trends, Customer Decision Making Journey, etc. 

If you have identified the right problems, your half work is done!

Before even thinking of solutions, set the KPIs based on the problem statement.

Like, in Accenture Strategy Case Connect, the problem statement was (summary) -

Should a large-scale oil refinery firm diversify into EV charging stations? If yes, suggest an execution strategy 

After establishing that the firm needs to diversify, we set the KPI for the solution as - Increment in business generated due to portfolio diversification.

Then, we did a VRIO analysis to identify the competitive advantage (CA), available resources, and capabilities of the firm. SWOT analysis can also be done to get a bird's eye view. 

Key insights were:

• The firm has an established infrastructure across the nation (CA)
• The firm is cash-positive (resource)
• Lack of EV charger manufacturing capabilities

Based on the above insights, we decided mode of entry as a strategic alliance with EV charger manufacturers to minimize the entry risk and cost of development. 

We represented the solution in the form of a business plan that covered the roles of stakeholders, partners, customer value proposition, and a phase-wise rollout plan for the future.

After setting the KPIs and VRIO analysis, in case you struggle to create solutions, you can do:

• Competitor benchmarking to get a reference
• Research strategies implemented by outside-India players
• Study recent technological trends and their application
• Understand the current focus of the firm through annual reports, recent acquisitions, and news headlines

Other ways of representing the strategies are Ansoff Matrix, Portfolio Strategy, Market Mapping, 4Ps, Marketing Funnel, GTM, Mock-ups, etc.

Above all, you should always suggest solutions that reduce customer efforts. If you try changing consumer behavior by increasing efforts, they will exCHANGE you with your competitors.

Competitions like the HCCB Case Challenge provide an exact budget. For others, you must look at financial reports and funding rounds to estimate the budget. Then, you can utilize the data to calculate ROI using guesstimates as accurately as possible (use published data).

You can also do a cost-benefit, NPV- IRR, break-even point, cash-flow analysis, etc. I prefer showing profitable unit economics to envision scale and impact.

In PM/Marketing cases, you can also show whether customers accept the solution or not. If 90% of customers are facing a problem, doesn't mean that 90% will accept your solution.

Like in Myntra Stylbiz, we had to suggest solutions for the 18-25 customer segment such that Myntra becomes the most engaging and preferred destination. We showed results of UAT (using Figma) that indicated the likelihood of customers using the solution. This data also helped to estimate the increase in sales, purchase frequency, and new customers. 

I have also seen participants running marketing campaigns on social media on a small scale. 

More than thinking big, focus on thinking real. 

For more, check out her post. 

If you'd like to submit your story, click here .

Whatever your concern, we have broken down everything you need to know about case study competitions , from scratch:

• Challenge Yourself With These B-school Competitions
• Case Study Competitions- Details, Winning Strategies, And More!
• Cheat Sheet To Crack Hiring Challenges And Case Competitions
• How To Win Business Case Competitions: The Secret Revealed
• Why MBA case competitions are worth the hype!

In pursuit of being a good product manager, she started participating in Case Competitions during her MBA. It gave her a mention in Forbes D2C Top 100 Competitive Leaders, but more than that it helped her build problem-solving and team-building skills. It also helped her become insensitive to results, and make a rational sense of them. Apart from PMing, she likes to write, watch movies, crack lame jokes and eat really good food.

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28 Case Study Examples Every Marketer Should See

Published: March 08, 2023

Putting together a compelling case study is one of the most powerful strategies for showcasing your product and attracting future customers. But it's not easy to create case studies that your audience can’t wait to read.

In this post, we’ll go over the definition of a case study and the best examples to inspire you.

What is a case study?

A case study is a detailed story of something your company did. It includes a beginning — often discussing a conflict, an explanation of what happened next, and a resolution that explains how the company solved or improved on something.

A case study proves how your product has helped other companies by demonstrating real-life results. Not only that, but marketing case studies with solutions typically contain quotes from the customer. This means that they’re not just ads where you praise your own product. Rather, other companies are praising your company — and there’s no stronger marketing material than a verbal recommendation or testimonial. A great case study is also filled with research and stats to back up points made about a project's results.

There are myriad ways to use case studies in your marketing strategy . From featuring them on your website to including them in a sales presentation, a case study is a strong, persuasive tool that shows customers why they should work with you — straight from another customer. Writing one from scratch is hard, though, which is why we’ve created a collection of case study templates for you to get started.

Fill out the form below to access the free case study templates.

Free Case Study Templates

Showcase your company's success using these three free case study templates.

• Data-Driven Case Study Template
• Product-Specific Case Study Template
• General Case Study Template

You're all set!

Click this link to access this resource at any time.

There’s no better way to generate more leads than by writing case studies . But without case study examples to draw inspiration from, it can be difficult to write impactful studies that convince visitors to submit a form.

Marketing Case Study Examples

To help you create an attractive and high-converting case study, we've put together a list of some of our favorites. This list includes famous case studies in marketing, technology, and business.

These studies can show you how to frame your company offers in a way that is both meaningful and useful to your audience. So, take a look, and let these examples inspire your next brilliant case study design.

These marketing case studies with solutions show the value proposition of each product. They also show how each company benefited in both the short and long term using quantitative data. In other words, you don’t get just nice statements, like "This company helped us a lot." You see actual change within the firm through numbers and figures.

You can put your learnings into action with HubSpot's Free Case Study Templates . Available as custom designs and text-based documents, you can upload these templates to your CMS or send them to prospects as you see fit.

1. " How Handled Scaled from Zero to 121 Locations with the Help of HubSpot ," by HubSpot

What's interesting about this case study is the way it leads with the customer. That reflects a major HubSpot cornerstone, which is to always solve for the customer first. The copy leads with a brief description of why the CEO of Handled founded the company and why he thought Handled could benefit from adopting a CRM. The case study also opens up with one key data point about Handled’s success using HubSpot, namely that it grew to 121 locations.

Notice that this case study uses mixed media. Yes, there is a short video, but it's elaborated upon in the other text on the page. So while your case studies can use one or the other, don't be afraid to combine written copy with visuals to emphasize the project's success.

Key Learnings from the HubSpot Case Study Example

• Give the case study a personal touch by focusing on the CEO rather than the company itself.
• Use multimedia to engage website visitors as they read the case study.

2. " The Whole Package ," by IDEO

Here's a design company that knows how to lead with simplicity in its case studies. As soon as the visitor arrives at the page, they’re greeted with a big, bold photo and the title of the case study — which just so happens to summarize how IDEO helped its client. It summarizes the case study in three snippets: The challenge, the impact, and the outcome.

Immediately, IDEO communicates its impact — the company partnered with H&M to remove plastic from its packaging — but it doesn't stop there. As the user scrolls down, the challenge, impact, and progress are elaborated upon with comprehensive (but not overwhelming) copy that outlines what that process looked like, replete with quotes and intriguing visuals.

Key Learnings from the IDEO Case Study Example

• Split up the takeaways of your case studies into bite-sized sections.
• Always use visuals and images to enrich the case study experience, especially if it’s a comprehensive case study.

3. " Rozum Robotics intensifies its PR game with Awario ," by Awario

In this case study, Awario greets the user with a summary straight away — so if you’re feeling up to reading the entire case study, you can scan the snapshot and understand how the company serves its customers. The case study then includes jump links to several sections, such as "Company Profile," "Rozum Robotics' Pains," "Challenge," "Solution," and "Results and Improvements."

The sparse copy and prominent headings show that you don’t need a lot of elaborate information to show the value of your products and services. Like the other case study examples on this list, it includes visuals and quotes to demonstrate the effectiveness of the company’s efforts. The case study ends with a bulleted list that shows the results.

Key Learnings from the Awario Robotics Case Study Example

• Create a table of contents to make your case study easier to navigate.
• Include a bulleted list of the results you achieved for your client.

4. " Chevrolet DTU ," by Carol H. Williams

If you’ve worked with a company that’s well-known, use only the name in the title — like Carol H. Williams, one of the nation’s top advertising agencies, does here. The "DTU," stands for "Discover the Unexpected." It generates interest because you want to find out what the initials mean.

They keep your interest in this case study by using a mixture of headings, images, and videos to describe the challenges, objectives, and solutions of the project. The case study closes with a summary of the key achievements that Chevrolet’s DTU Journalism Fellows reached during the project.

Key Learnings from the Carol H. Williams Case Study Example

• If you’ve worked with a big brand before, consider only using the name in the title — just enough to pique interest.
• Use a mixture of headings and subheadings to guide users through the case study.

5. " How Fractl Earned Links from 931 Unique Domains for Porch.com in a Single Year ," by Fractl

Fractl uses both text and graphic design in their Porch.com case study to immerse the viewer in a more interesting user experience. For instance, as you scroll, you'll see the results are illustrated in an infographic-design form as well as the text itself.

Further down the page, they use icons like a heart and a circle to illustrate their pitch angles, and graphs to showcase their results. Rather than writing which publications have mentioned Porch.com during Fractl’s campaign, they incorporated the media outlets’ icons for further visual diversity.

Key Learnings from the Fractl Case Study Example

• Let pictures speak for you by incorporating graphs, logos, and icons all throughout the case study.
• Start the case study by right away stating the key results, like Fractl does, instead of putting the results all the way at the bottom.

6. " The Met ," by Fantasy

What's the best way to showcase the responsiveness and user interface of a website? Probably by diving right into it with a series of simple showcases— which is exactly what Fantasy does on their case study page for the Metropolitan Museum of Art. They keep the page simple and clean, inviting you to review their redesign of the Met’s website feature-by-feature.

Each section is simple, showing a single piece of the new website's interface so that users aren’t overwhelmed with information and can focus on what matters most.

If you're more interested in text, you can read the objective for each feature. Fantasy understands that, as a potential customer, this is all you need to know. Scrolling further, you're greeted with a simple "Contact Us" CTA.

Key Learnings from the Fantasy Case Study Example

• You don’t have to write a ton of text to create a great case study. Focus on the solution you delivered itself.
• Include a CTA at the bottom inviting visitors to contact you.

7. " Rovio: How Rovio Grew Into a Gaming Superpower ," by App Annie

If your client had a lot of positive things to say about you, take a note from App Annie’s Rovio case study and open up with a quote from your client. The case study also closes with a quote, so that the case study doesn’t seem like a promotion written by your marketing team but a story that’s taken straight from your client’s mouth. It includes a photo of a Rovio employee, too.

Another thing this example does well? It immediately includes a link to the product that Rovio used (namely, App Annie Intelligence) at the top of the case study. The case study closes with a call-to-action button prompting users to book a demo.

Key Learnings from the App Annie Case Study Example

• Feature quotes from your client at the beginning and end of the case study.
• Include a mention of the product right at the beginning and prompt users to learn more about the product.

8. " Embracing first-party data: 3 success stories from HubSpot ," by Think with Google

Google takes a different approach to text-focused case studies by choosing three different companies to highlight.

The case study is clean and easily scannable. It has sections for each company, with quotes and headers that clarify the way these three distinct stories connect. The simple format also uses colors and text that align with the Google brand.

Another differentiator is the focus on data. This case study is less than a thousand words, but it's packed with useful data points. Data-driven insights quickly and clearly show how the value of leveraging first-party data while prioritizing consumer privacy.

Key Learnings from the Think with Google Case Study Example

• A case study doesn’t need to be long or complex to be powerful.
• Clear data points are a quick and effective way to prove value.

9. " In-Depth Performance Marketing Case Study ," by Switch

Switch is an international marketing agency based in Malta that knocks it out of the park with this case study. Its biggest challenge is effectively communicating what it did for its client without ever revealing the client’s name. It also effectively keeps non-marketers in the loop by including a glossary of terms on page 4.

The PDF case study reads like a compelling research article, including titles like "In-Depth Performance Marketing Case Study," "Scenario," and "Approach," so that readers get a high-level overview of what the client needed and why they approached Switch. It also includes a different page for each strategy. For instance, if you’d only be interested in hiring Switch for optimizing your Facebook ads, you can skip to page 10 to see how they did it.

The PDF is fourteen pages long but features big fonts and plenty of white space, so viewers can easily skim it in only a few minutes.

Key Learnings from the Switch Case Study Example

• If you want to go into specialized information, include a glossary of terms so that non-specialists can easily understand.
• Close with a CTA page in your case study PDF and include contact information for prospective clients.

10. " Gila River ," by OH Partners

Let pictures speak for you, like OH Partners did in this case study. While you’ll quickly come across a heading and some text when you land on this case study page, you’ll get the bulk of the case study through examples of actual work OH Partners did for its client. You will see OH Partners’ work in a billboard, magazine, and video. This communicates to website visitors that if they work with OH Partners, their business will be visible everywhere.

And like the other case studies here, it closes with a summary of what the firm achieved for its client in an eye-catching way.

Key Learnings from the OH Partners Case Study Example

• Let the visuals speak by including examples of the actual work you did for your client — which is especially useful for branding and marketing agencies.
• Always close out with your achievements and how they impacted your client.

11. " Facing a Hater ," by Digitas

Digitas' case study page for Sprite’s #ILOVEYOUHATER campaign keeps it brief while communicating the key facts of Digitas’ work for the popular soda brand. The page opens with an impactful image of a hundred people facing a single man. It turns out, that man is the biggest "bully" in Argentina, and the people facing him are those whom he’s bullied before.

Scrolling down, it's obvious that Digitas kept Sprite at the forefront of their strategy, but more than that, they used real people as their focal point. They leveraged the Twitter API to pull data from Tweets that people had actually tweeted to find the identity of the biggest "hater" in the country. That turned out to be @AguanteElCofler, a Twitter user who has since been suspended.

Key Learnings from the Digitas Case Study Example

• If a video was part of your work for your client, be sure to include the most impactful screenshot as the heading.
• Don’t be afraid to provide details on how you helped your client achieve their goals, including the tools you leveraged.

12. " Better Experiences for All ," by HermanMiller

HermanMiller sells sleek, utilitarian furniture with no frills and extreme functionality, and that ethos extends to its case study page for a hospital in Dubai.

What first attracted me to this case study was the beautiful video at the top and the clean user experience. User experience matters a lot in a case study. It determines whether users will keep reading or leave. Another notable aspect of this case study is that the video includes closed-captioning for greater accessibility, and users have the option of expanding the CC and searching through the text.

HermanMiller’s case study also offers an impressive amount of information packed in just a few short paragraphs for those wanting to understand the nuances of their strategy. It closes out with a quote from their client and, most importantly, the list of furniture products that the hospital purchased from the brand.

Key Learnings from the HermanMiller Case Study Example

• Close out with a list of products that users can buy after reading the case study.
• Include accessibility features such as closed captioning and night mode to make your case study more user-friendly.

13. " Capital One on AWS ," by Amazon

Do you work continuously with your clients? Consider structuring your case study page like Amazon did in this stellar case study example. Instead of just featuring one article about Capital One and how it benefited from using AWS, Amazon features a series of articles that you can then access if you’re interested in reading more. It goes all the way back to 2016, all with different stories that feature Capital One’s achievements using AWS.

This may look unattainable for a small firm, but you don’t have to go to extreme measures and do it for every single one of your clients. You could choose the one you most wish to focus on and establish a contact both on your side and your client’s for coming up with the content. Check in every year and write a new piece. These don’t have to be long, either — five hundred to eight hundred words will do.

Key Learnings from the Amazon AWS Case Study Example

• Write a new article each year featuring one of your clients, then include links to those articles in one big case study page.
• Consider including external articles as well that emphasize your client’s success in their industry.

14. " HackReactor teaches the world to code #withAsana ," by Asana

While Asana's case study design looks text-heavy, there's a good reason. It reads like a creative story, told entirely from the customer's perspective.

For instance, Asana knows you won't trust its word alone on why this product is useful. So, they let Tony Phillips, HackReactor CEO, tell you instead: "We take in a lot of information. Our brains are awful at storage but very good at thinking; you really start to want some third party to store your information so you can do something with it."

Asana features frequent quotes from Phillips to break up the wall of text and humanize the case study. It reads like an in-depth interview and captivates the reader through creative storytelling. Even more, Asana includes in-depth detail about how HackReactor uses Asana. This includes how they build templates and workflows:

"There's a huge differentiator between Asana and other tools, and that’s the very easy API access. Even if Asana isn’t the perfect fit for a workflow, someone like me— a relatively mediocre software engineer—can add functionality via the API to build a custom solution that helps a team get more done."

Key Learnings from the Asana Example

• Include quotes from your client throughout the case study.
• Provide extensive detail on how your client worked with you or used your product.

15. " Rips Sewed, Brand Love Reaped ," by Amp Agency

Amp Agency's Patagonia marketing strategy aimed to appeal to a new audience through guerrilla marketing efforts and a coast-to-coast road trip. Their case study page effectively conveys a voyager theme, complete with real photos of Patagonia customers from across the U.S., and a map of the expedition. I liked Amp Agency's storytelling approach best. It captures viewers' attention from start to finish simply because it's an intriguing and unique approach to marketing.

Key Learnings from the Amp Agency Example

• Open up with a summary that communicates who your client is and why they reached out to you.
• Like in the other case study examples, you’ll want to close out with a quantitative list of your achievements.

16. " NetApp ," by Evisort

Evisort opens up its NetApp case study with an at-a-glance overview of the client. It’s imperative to always focus on the client in your case study — not on your amazing product and equally amazing team. By opening up with a snapshot of the client’s company, Evisort places the focus on the client.

This case study example checks all the boxes for a great case study that’s informative, thorough, and compelling. It includes quotes from the client and details about the challenges NetApp faced during the COVID pandemic. It closes out with a quote from the client and with a link to download the case study in PDF format, which is incredibly important if you want your case study to be accessible in a wider variety of formats.

Key Learnings from the Evisort Example

• Place the focus immediately on your client by including a snapshot of their company.
• Mention challenging eras, such as a pandemic or recession, to show how your company can help your client succeed even during difficult times.

17. " Copernicus Land Monitoring – CLC+ Core ," by Cloudflight

Including highly specialized information in your case study is an effective way to show prospects that you’re not just trying to get their business. You’re deep within their industry, too, and willing to learn everything you need to learn to create a solution that works specifically for them.

Cloudflight does a splendid job at that in its Copernicus Land Monitoring case study. While the information may be difficult to read at first glance, it will capture the interest of prospects who are in the environmental industry. It thus shows Cloudflight’s value as a partner much more effectively than a general case study would.

The page is comprehensive and ends with a compelling call-to-action — "Looking for a solution that automates, and enhances your Big Data system? Are you struggling with large datasets and accessibility? We would be happy to advise and support you!" The clean, whitespace-heavy page is an effective example of using a case study to capture future leads.

Key Learnings from the Cloudflight Case Study Example

• Don’t be afraid to get technical in your explanation of what you did for your client.
• Include a snapshot of the sales representative prospects should contact, especially if you have different sales reps for different industries, like Cloudflight does.

18. " Valvoline Increases Coupon Send Rate by 76% with Textel’s MMS Picture Texting ," by Textel

If you’re targeting large enterprises with a long purchasing cycle, you’ll want to include a wealth of information in an easily transferable format. That’s what Textel does here in its PDF case study for Valvoline. It greets the user with an eye-catching headline that shows the value of using Textel. Valvoline saw a significant return on investment from using the platform.

Another smart decision in this case study is highlighting the client’s quote by putting it in green font and doing the same thing for the client’s results because it helps the reader quickly connect the two pieces of information. If you’re in a hurry, you can also take a look at the "At a Glance" column to get the key facts of the case study, starting with information about Valvoline.

Key Learnings from the Textel Case Study Example

• Include your client’s ROI right in the title of the case study.
• Add an "At a Glance" column to your case study PDF to make it easy to get insights without needing to read all the text.

19. " Hunt Club and Happeo — a tech-enabled love story ," by Happeo

In this blog-post-like case study, Happeo opens with a quote from the client, then dives into a compelling heading: "Technology at the forefront of Hunt Club's strategy." Say you’re investigating Happeo as a solution and consider your firm to be technology-driven. This approach would spark your curiosity about why the client chose to work with Happeo. It also effectively communicates the software’s value proposition without sounding like it’s coming from an in-house marketing team.

Every paragraph is a quote written from the customer’s perspective. Later down the page, the case study also dives into "the features that changed the game for Hunt Club," giving Happeo a chance to highlight some of the platform’s most salient features.

Key Learnings from the Happeo Case Study Example

• Consider writing the entirety of the case study from the perspective of the customer.
• Include a list of the features that convinced your client to go with you.

20. " Red Sox Season Campaign ," by CTP Boston

What's great about CTP's case study page for their Red Sox Season Campaign is their combination of video, images, and text. A video automatically begins playing when you visit the page, and as you scroll, you'll see more embedded videos of Red Sox players, a compilation of print ads, and social media images you can click to enlarge.

At the bottom, it says "Find out how we can do something similar for your brand." The page is clean, cohesive, and aesthetically pleasing. It invites viewers to appreciate the well-roundedness of CTP's campaign for Boston's beloved baseball team.

Key Learnings from the CTP Case Study Example

• Include a video in the heading of the case study.
• Close with a call-to-action that makes leads want to turn into prospects.

21. " Acoustic ," by Genuine

Sometimes, simple is key. Genuine's case study for Acoustic is straightforward and minimal, with just a few short paragraphs, including "Reimagining the B2B website experience," "Speaking to marketers 1:1," and "Inventing Together." After the core of the case study, we then see a quote from Acoustic’s CMO and the results Genuine achieved for the company.

The simplicity of the page allows the reader to focus on both the visual aspects and the copy. The page displays Genuine's brand personality while offering the viewer all the necessary information they need.

• You don’t need to write a lot to create a great case study. Keep it simple.
• Always include quantifiable data to illustrate the results you achieved for your client.

22. " Using Apptio Targetprocess Automated Rules in Wargaming ," by Apptio

Apptio’s case study for Wargaming summarizes three key pieces of information right at the beginning: The goals, the obstacles, and the results.

Readers then have the opportunity to continue reading — or they can walk away right then with the information they need. This case study also excels in keeping the human interest factor by formatting the information like an interview.

The piece is well-organized and uses compelling headers to keep the reader engaged. Despite its length, Apptio's case study is appealing enough to keep the viewer's attention. Every Apptio case study ends with a "recommendation for other companies" section, where the client can give advice for other companies that are looking for a similar solution but aren’t sure how to get started.

Key Learnings from the Apptio Case Study Example

• Put your client in an advisory role by giving them the opportunity to give recommendations to other companies that are reading the case study.
• Include the takeaways from the case study right at the beginning so prospects quickly get what they need.

23. " Airbnb + Zendesk: building a powerful solution together ," by Zendesk

Zendesk's Airbnb case study reads like a blog post, and focuses equally on Zendesk and Airbnb, highlighting a true partnership between the companies. To captivate readers, it begins like this: "Halfway around the globe is a place to stay with your name on it. At least for a weekend."

The piece focuses on telling a good story and provides photographs of beautiful Airbnb locations. In a case study meant to highlight Zendesk's helpfulness, nothing could be more authentic than their decision to focus on Airbnb's service in such great detail.

Key Learnings from the Zendesk Case Study Example

• Include images of your client’s offerings — not necessarily of the service or product you provided. Notice how Zendesk doesn’t include screenshots of its product.
• Include a call-to-action right at the beginning of the case study. Zendesk gives you two options: to find a solution or start a trial.

24. " Biobot Customer Success Story: Rollins College, Winter Park, Florida ," by Biobot

Like some of the other top examples in this list, Biobot opens its case study with a quote from its client, which captures the value proposition of working with Biobot. It mentions the COVID pandemic and goes into detail about the challenges the client faced during this time.

This case study is structured more like a news article than a traditional case study. This format can work in more formal industries where decision-makers need to see in-depth information about the case. Be sure to test different methods and measure engagement .

Key Learnings from the Biobot Case Study Example

• Mention environmental, public health, or economic emergencies and how you helped your client get past such difficult times.
• Feel free to write the case study like a normal blog post, but be sure to test different methods to find the one that best works for you.

25. " Discovering Cost Savings With Efficient Decision Making ," by Gartner

You don't always need a ton of text or a video to convey your message — sometimes, you just need a few paragraphs and bullet points. Gartner does a fantastic job of quickly providing the fundamental statistics a potential customer would need to know, without boggling down their readers with dense paragraphs. The case study closes with a shaded box that summarizes the impact that Gartner had on its client. It includes a quote and a call-to-action to "Learn More."

Key Learnings from the Gartner Case Study Example

• Feel free to keep the case study short.
• Include a call-to-action at the bottom that takes the reader to a page that most relates to them.

26. " Bringing an Operator to the Game ," by Redapt

This case study example by Redapt is another great demonstration of the power of summarizing your case study’s takeaways right at the start of the study. Redapt includes three easy-to-scan columns: "The problem," "the solution," and "the outcome." But its most notable feature is a section titled "Moment of clarity," which shows why this particular project was difficult or challenging.

The section is shaded in green, making it impossible to miss. Redapt does the same thing for each case study. In the same way, you should highlight the "turning point" for both you and your client when you were working toward a solution.

Key Learnings from the Redapt Case Study Example

• Highlight the turning point for both you and your client during the solution-seeking process.
• Use the same structure (including the same headings) for your case studies to make them easy to scan and read.

27. " Virtual Call Center Sees 300% Boost In Contact Rate ," by Convoso

Convoso’s PDF case study for Digital Market Media immediately mentions the results that the client achieved and takes advantage of white space. On the second page, the case study presents more influential results. It’s colorful and engaging and closes with a spread that prompts readers to request a demo.

Key Learnings from the Convoso Case Study Example

• List the results of your work right at the beginning of the case study.
• Use color to differentiate your case study from others. Convoso’s example is one of the most colorful ones on this list.

28. " Ensuring quality of service during a pandemic ," by Ericsson

Ericsson’s case study page for Orange Spain is an excellent example of using diverse written and visual media — such as videos, graphs, and quotes — to showcase the success a client experienced. Throughout the case study, Ericsson provides links to product and service pages users might find relevant as they’re reading the study.

For instance, under the heading "Preloaded with the power of automation," Ericsson mentions its Ericsson Operations Engine product, then links to that product page. It closes the case study with a link to another product page.

Key Learnings from the Ericsson Case Study Example

• Link to product pages throughout the case study so that readers can learn more about the solution you offer.
• Use multimedia to engage users as they read the case study.

Start creating your case study.

Now that you've got a great list of examples of case studies, think about a topic you'd like to write about that highlights your company or work you did with a customer.

A customer’s success story is the most persuasive marketing material you could ever create. With a strong portfolio of case studies, you can ensure prospects know why they should give you their business.

Editor's note: This post was originally published in August 2018 and has been updated for comprehensiveness.

Don't forget to share this post!

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Organizing Your Social Sciences Research Assignments

• Annotated Bibliography
• Analyzing a Scholarly Journal Article
• Group Presentations
• Dealing with Nervousness
• Using Visual Aids
• Grading Someone Else's Paper
• Types of Structured Group Activities
• Group Project Survival Skills
• Leading a Class Discussion
• Multiple Book Review Essay
• Reviewing Collected Works
• Writing a Case Analysis Paper
• Writing a Case Study
• About Informed Consent
• Writing Field Notes
• Writing a Policy Memo
• Writing a Reflective Paper
• Writing a Research Proposal
• Generative AI and Writing
• Acknowledgments

Definition and Introduction

Case analysis is a problem-based teaching and learning method that involves critically analyzing complex scenarios within an organizational setting for the purpose of placing the student in a “real world” situation and applying reflection and critical thinking skills to contemplate appropriate solutions, decisions, or recommended courses of action. It is considered a more effective teaching technique than in-class role playing or simulation activities. The analytical process is often guided by questions provided by the instructor that ask students to contemplate relationships between the facts and critical incidents described in the case.

Cases generally include both descriptive and statistical elements and rely on students applying abductive reasoning to develop and argue for preferred or best outcomes [i.e., case scenarios rarely have a single correct or perfect answer based on the evidence provided]. Rather than emphasizing theories or concepts, case analysis assignments emphasize building a bridge of relevancy between abstract thinking and practical application and, by so doing, teaches the value of both within a specific area of professional practice.

Given this, the purpose of a case analysis paper is to present a structured and logically organized format for analyzing the case situation. It can be assigned to students individually or as a small group assignment and it may include an in-class presentation component. Case analysis is predominately taught in economics and business-related courses, but it is also a method of teaching and learning found in other applied social sciences disciplines, such as, social work, public relations, education, journalism, and public administration.

Ellet, William. The Case Study Handbook: A Student's Guide . Revised Edition. Boston, MA: Harvard Business School Publishing, 2018; Christoph Rasche and Achim Seisreiner. Guidelines for Business Case Analysis . University of Potsdam; Writing a Case Analysis . Writing Center, Baruch College; Volpe, Guglielmo. "Case Teaching in Economics: History, Practice and Evidence." Cogent Economics and Finance 3 (December 2015). doi:https://doi.org/10.1080/23322039.2015.1120977.

How to Approach Writing a Case Analysis Paper

The organization and structure of a case analysis paper can vary depending on the organizational setting, the situation, and how your professor wants you to approach the assignment. Nevertheless, preparing to write a case analysis paper involves several important steps. As Hawes notes, a case analysis assignment “...is useful in developing the ability to get to the heart of a problem, analyze it thoroughly, and to indicate the appropriate solution as well as how it should be implemented” [p.48]. This statement encapsulates how you should approach preparing to write a case analysis paper.

Before you begin to write your paper, consider the following analytical procedures:

• Review the case to get an overview of the situation . A case can be only a few pages in length, however, it is most often very lengthy and contains a significant amount of detailed background information and statistics, with multilayered descriptions of the scenario, the roles and behaviors of various stakeholder groups, and situational events. Therefore, a quick reading of the case will help you gain an overall sense of the situation and illuminate the types of issues and problems that you will need to address in your paper. If your professor has provided questions intended to help frame your analysis, use them to guide your initial reading of the case.
• Read the case thoroughly . After gaining a general overview of the case, carefully read the content again with the purpose of understanding key circumstances, events, and behaviors among stakeholder groups. Look for information or data that appears contradictory, extraneous, or misleading. At this point, you should be taking notes as you read because this will help you develop a general outline of your paper. The aim is to obtain a complete understanding of the situation so that you can begin contemplating tentative answers to any questions your professor has provided or, if they have not provided, developing answers to your own questions about the case scenario and its connection to the course readings,lectures, and class discussions.
• Determine key stakeholder groups, issues, and events and the relationships they all have to each other . As you analyze the content, pay particular attention to identifying individuals, groups, or organizations described in the case and identify evidence of any problems or issues of concern that impact the situation in a negative way. Other things to look for include identifying any assumptions being made by or about each stakeholder, potential biased explanations or actions, explicit demands or ultimatums , and the underlying concerns that motivate these behaviors among stakeholders. The goal at this stage is to develop a comprehensive understanding of the situational and behavioral dynamics of the case and the explicit and implicit consequences of each of these actions.
• Identify the core problems . The next step in most case analysis assignments is to discern what the core [i.e., most damaging, detrimental, injurious] problems are within the organizational setting and to determine their implications. The purpose at this stage of preparing to write your analysis paper is to distinguish between the symptoms of core problems and the core problems themselves and to decide which of these must be addressed immediately and which problems do not appear critical but may escalate over time. Identify evidence from the case to support your decisions by determining what information or data is essential to addressing the core problems and what information is not relevant or is misleading.
• Explore alternative solutions . As noted, case analysis scenarios rarely have only one correct answer. Therefore, it is important to keep in mind that the process of analyzing the case and diagnosing core problems, while based on evidence, is a subjective process open to various avenues of interpretation. This means that you must consider alternative solutions or courses of action by critically examining strengths and weaknesses, risk factors, and the differences between short and long-term solutions. For each possible solution or course of action, consider the consequences they may have related to their implementation and how these recommendations might lead to new problems. Also, consider thinking about your recommended solutions or courses of action in relation to issues of fairness, equity, and inclusion.
• Decide on a final set of recommendations . The last stage in preparing to write a case analysis paper is to assert an opinion or viewpoint about the recommendations needed to help resolve the core problems as you see them and to make a persuasive argument for supporting this point of view. Prepare a clear rationale for your recommendations based on examining each element of your analysis. Anticipate possible obstacles that could derail their implementation. Consider any counter-arguments that could be made concerning the validity of your recommended actions. Finally, describe a set of criteria and measurable indicators that could be applied to evaluating the effectiveness of your implementation plan.

Use these steps as the framework for writing your paper. Remember that the more detailed you are in taking notes as you critically examine each element of the case, the more information you will have to draw from when you begin to write. This will save you time.

NOTE : If the process of preparing to write a case analysis paper is assigned as a student group project, consider having each member of the group analyze a specific element of the case, including drafting answers to the corresponding questions used by your professor to frame the analysis. This will help make the analytical process more efficient and ensure that the distribution of work is equitable. This can also facilitate who is responsible for drafting each part of the final case analysis paper and, if applicable, the in-class presentation.

Framework for Case Analysis . College of Management. University of Massachusetts; Hawes, Jon M. "Teaching is Not Telling: The Case Method as a Form of Interactive Learning." Journal for Advancement of Marketing Education 5 (Winter 2004): 47-54; Rasche, Christoph and Achim Seisreiner. Guidelines for Business Case Analysis . University of Potsdam; Writing a Case Study Analysis . University of Arizona Global Campus Writing Center; Van Ness, Raymond K. A Guide to Case Analysis . School of Business. State University of New York, Albany; Writing a Case Analysis . Business School, University of New South Wales.

Structure and Writing Style

A case analysis paper should be detailed, concise, persuasive, clearly written, and professional in tone and in the use of language . As with other forms of college-level academic writing, declarative statements that convey information, provide a fact, or offer an explanation or any recommended courses of action should be based on evidence. If allowed by your professor, any external sources used to support your analysis, such as course readings, should be properly cited under a list of references. The organization and structure of case analysis papers can vary depending on your professor’s preferred format, but its structure generally follows the steps used for analyzing the case.

Introduction

The introduction should provide a succinct but thorough descriptive overview of the main facts, issues, and core problems of the case . The introduction should also include a brief summary of the most relevant details about the situation and organizational setting. This includes defining the theoretical framework or conceptual model on which any questions were used to frame your analysis.

Following the rules of most college-level research papers, the introduction should then inform the reader how the paper will be organized. This includes describing the major sections of the paper and the order in which they will be presented. Unless you are told to do so by your professor, you do not need to preview your final recommendations in the introduction. U nlike most college-level research papers , the introduction does not include a statement about the significance of your findings because a case analysis assignment does not involve contributing new knowledge about a research problem.

Background Analysis

Background analysis can vary depending on any guiding questions provided by your professor and the underlying concept or theory that the case is based upon. In general, however, this section of your paper should focus on:

• Providing an overarching analysis of problems identified from the case scenario, including identifying events that stakeholders find challenging or troublesome,
• Identifying assumptions made by each stakeholder and any apparent biases they may exhibit,
• Describing any demands or claims made by or forced upon key stakeholders, and
• Highlighting any issues of concern or complaints expressed by stakeholders in response to those demands or claims.

These aspects of the case are often in the form of behavioral responses expressed by individuals or groups within the organizational setting. However, note that problems in a case situation can also be reflected in data [or the lack thereof] and in the decision-making, operational, cultural, or institutional structure of the organization. Additionally, demands or claims can be either internal and external to the organization [e.g., a case analysis involving a president considering arms sales to Saudi Arabia could include managing internal demands from White House advisors as well as demands from members of Congress].

Throughout this section, present all relevant evidence from the case that supports your analysis. Do not simply claim there is a problem, an assumption, a demand, or a concern; tell the reader what part of the case informed how you identified these background elements.

Identification of Problems

In most case analysis assignments, there are problems, and then there are problems . Each problem can reflect a multitude of underlying symptoms that are detrimental to the interests of the organization. The purpose of identifying problems is to teach students how to differentiate between problems that vary in severity, impact, and relative importance. Given this, problems can be described in three general forms: those that must be addressed immediately, those that should be addressed but the impact is not severe, and those that do not require immediate attention and can be set aside for the time being.

All of the problems you identify from the case should be identified in this section of your paper, with a description based on evidence explaining the problem variances. If the assignment asks you to conduct research to further support your assessment of the problems, include this in your explanation. Remember to cite those sources in a list of references. Use specific evidence from the case and apply appropriate concepts, theories, and models discussed in class or in relevant course readings to highlight and explain the key problems [or problem] that you believe must be solved immediately and describe the underlying symptoms and why they are so critical.

Alternative Solutions

This section is where you provide specific, realistic, and evidence-based solutions to the problems you have identified and make recommendations about how to alleviate the underlying symptomatic conditions impacting the organizational setting. For each solution, you must explain why it was chosen and provide clear evidence to support your reasoning. This can include, for example, course readings and class discussions as well as research resources, such as, books, journal articles, research reports, or government documents. In some cases, your professor may encourage you to include personal, anecdotal experiences as evidence to support why you chose a particular solution or set of solutions. Using anecdotal evidence helps promote reflective thinking about the process of determining what qualifies as a core problem and relevant solution .

Throughout this part of the paper, keep in mind the entire array of problems that must be addressed and describe in detail the solutions that might be implemented to resolve these problems.

Recommended Courses of Action

In some case analysis assignments, your professor may ask you to combine the alternative solutions section with your recommended courses of action. However, it is important to know the difference between the two. A solution refers to the answer to a problem. A course of action refers to a procedure or deliberate sequence of activities adopted to proactively confront a situation, often in the context of accomplishing a goal. In this context, proposed courses of action are based on your analysis of alternative solutions. Your description and justification for pursuing each course of action should represent the overall plan for implementing your recommendations.

For each course of action, you need to explain the rationale for your recommendation in a way that confronts challenges, explains risks, and anticipates any counter-arguments from stakeholders. Do this by considering the strengths and weaknesses of each course of action framed in relation to how the action is expected to resolve the core problems presented, the possible ways the action may affect remaining problems, and how the recommended action will be perceived by each stakeholder.

In addition, you should describe the criteria needed to measure how well the implementation of these actions is working and explain which individuals or groups are responsible for ensuring your recommendations are successful. In addition, always consider the law of unintended consequences. Outline difficulties that may arise in implementing each course of action and describe how implementing the proposed courses of action [either individually or collectively] may lead to new problems [both large and small].

Throughout this section, you must consider the costs and benefits of recommending your courses of action in relation to uncertainties or missing information and the negative consequences of success.

The conclusion should be brief and introspective. Unlike a research paper, the conclusion in a case analysis paper does not include a summary of key findings and their significance, a statement about how the study contributed to existing knowledge, or indicate opportunities for future research.

Begin by synthesizing the core problems presented in the case and the relevance of your recommended solutions. This can include an explanation of what you have learned about the case in the context of your answers to the questions provided by your professor. The conclusion is also where you link what you learned from analyzing the case with the course readings or class discussions. This can further demonstrate your understanding of the relationships between the practical case situation and the theoretical and abstract content of assigned readings and other course content.

Problems to Avoid

The literature on case analysis assignments often includes examples of difficulties students have with applying methods of critical analysis and effectively reporting the results of their assessment of the situation. A common reason cited by scholars is that the application of this type of teaching and learning method is limited to applied fields of social and behavioral sciences and, as a result, writing a case analysis paper can be unfamiliar to most students entering college.

After you have drafted your paper, proofread the narrative flow and revise any of these common errors:

• Unnecessary detail in the background section . The background section should highlight the essential elements of the case based on your analysis. Focus on summarizing the facts and highlighting the key factors that become relevant in the other sections of the paper by eliminating any unnecessary information.
• Analysis relies too much on opinion . Your analysis is interpretive, but the narrative must be connected clearly to evidence from the case and any models and theories discussed in class or in course readings. Any positions or arguments you make should be supported by evidence.
• Analysis does not focus on the most important elements of the case . Your paper should provide a thorough overview of the case. However, the analysis should focus on providing evidence about what you identify are the key events, stakeholders, issues, and problems. Emphasize what you identify as the most critical aspects of the case to be developed throughout your analysis. Be thorough but succinct.
• Writing is too descriptive . A paper with too much descriptive information detracts from your analysis of the complexities of the case situation. Questions about what happened, where, when, and by whom should only be included as essential information leading to your examination of questions related to why, how, and for what purpose.
• Inadequate definition of a core problem and associated symptoms . A common error found in case analysis papers is recommending a solution or course of action without adequately defining or demonstrating that you understand the problem. Make sure you have clearly described the problem and its impact and scope within the organizational setting. Ensure that you have adequately described the root causes w hen describing the symptoms of the problem.
• Recommendations lack specificity . Identify any use of vague statements and indeterminate terminology, such as, “A particular experience” or “a large increase to the budget.” These statements cannot be measured and, as a result, there is no way to evaluate their successful implementation. Provide specific data and use direct language in describing recommended actions.
• Unrealistic, exaggerated, or unattainable recommendations . Review your recommendations to ensure that they are based on the situational facts of the case. Your recommended solutions and courses of action must be based on realistic assumptions and fit within the constraints of the situation. Also note that the case scenario has already happened, therefore, any speculation or arguments about what could have occurred if the circumstances were different should be revised or eliminated.

Bee, Lian Song et al. "Business Students' Perspectives on Case Method Coaching for Problem-Based Learning: Impacts on Student Engagement and Learning Performance in Higher Education." Education & Training 64 (2022): 416-432; The Case Analysis . Fred Meijer Center for Writing and Michigan Authors. Grand Valley State University; Georgallis, Panikos and Kayleigh Bruijn. "Sustainability Teaching using Case-Based Debates." Journal of International Education in Business 15 (2022): 147-163; Hawes, Jon M. "Teaching is Not Telling: The Case Method as a Form of Interactive Learning." Journal for Advancement of Marketing Education 5 (Winter 2004): 47-54; Georgallis, Panikos, and Kayleigh Bruijn. "Sustainability Teaching Using Case-based Debates." Journal of International Education in Business 15 (2022): 147-163; .Dean,  Kathy Lund and Charles J. Fornaciari. "How to Create and Use Experiential Case-Based Exercises in a Management Classroom." Journal of Management Education 26 (October 2002): 586-603; Klebba, Joanne M. and Janet G. Hamilton. "Structured Case Analysis: Developing Critical Thinking Skills in a Marketing Case Course." Journal of Marketing Education 29 (August 2007): 132-137, 139; Klein, Norman. "The Case Discussion Method Revisited: Some Questions about Student Skills." Exchange: The Organizational Behavior Teaching Journal 6 (November 1981): 30-32; Mukherjee, Arup. "Effective Use of In-Class Mini Case Analysis for Discovery Learning in an Undergraduate MIS Course." The Journal of Computer Information Systems 40 (Spring 2000): 15-23; Pessoa, Silviaet al. "Scaffolding the Case Analysis in an Organizational Behavior Course: Making Analytical Language Explicit." Journal of Management Education 46 (2022): 226-251: Ramsey, V. J. and L. D. Dodge. "Case Analysis: A Structured Approach." Exchange: The Organizational Behavior Teaching Journal 6 (November 1981): 27-29; Schweitzer, Karen. "How to Write and Format a Business Case Study." ThoughtCo. https://www.thoughtco.com/how-to-write-and-format-a-business-case-study-466324 (accessed December 5, 2022); Reddy, C. D. "Teaching Research Methodology: Everything's a Case." Electronic Journal of Business Research Methods 18 (December 2020): 178-188; Volpe, Guglielmo. "Case Teaching in Economics: History, Practice and Evidence." Cogent Economics and Finance 3 (December 2015). doi:https://doi.org/10.1080/23322039.2015.1120977.

Writing Tip

Ca se Study and Case Analysis Are Not the Same!

Confusion often exists between what it means to write a paper that uses a case study research design and writing a paper that analyzes a case; they are two different types of approaches to learning in the social and behavioral sciences. Professors as well as educational researchers contribute to this confusion because they often use the term "case study" when describing the subject of analysis for a case analysis paper. But you are not studying a case for the purpose of generating a comprehensive, multi-faceted understanding of a research problem. R ather, you are critically analyzing a specific scenario to argue logically for recommended solutions and courses of action that lead to optimal outcomes applicable to professional practice.

To avoid any confusion, here are twelve characteristics that delineate the differences between writing a paper using the case study research method and writing a case analysis paper:

• Case study is a method of in-depth research and rigorous inquiry ; case analysis is a reliable method of teaching and learning . A case study is a modality of research that investigates a phenomenon for the purpose of creating new knowledge, solving a problem, or testing a hypothesis using empirical evidence derived from the case being studied. Often, the results are used to generalize about a larger population or within a wider context. The writing adheres to the traditional standards of a scholarly research study. A case analysis is a pedagogical tool used to teach students how to reflect and think critically about a practical, real-life problem in an organizational setting.
• The researcher is responsible for identifying the case to study; a case analysis is assigned by your professor . As the researcher, you choose the case study to investigate in support of obtaining new knowledge and understanding about the research problem. The case in a case analysis assignment is almost always provided, and sometimes written, by your professor and either given to every student in class to analyze individually or to a small group of students, or students select a case to analyze from a predetermined list.
• A case study is indeterminate and boundless; a case analysis is predetermined and confined . A case study can be almost anything [see item 9 below] as long as it relates directly to examining the research problem. This relationship is the only limit to what a researcher can choose as the subject of their case study. The content of a case analysis is determined by your professor and its parameters are well-defined and limited to elucidating insights of practical value applied to practice.
• Case study is fact-based and describes actual events or situations; case analysis can be entirely fictional or adapted from an actual situation . The entire content of a case study must be grounded in reality to be a valid subject of investigation in an empirical research study. A case analysis only needs to set the stage for critically examining a situation in practice and, therefore, can be entirely fictional or adapted, all or in-part, from an actual situation.
• Research using a case study method must adhere to principles of intellectual honesty and academic integrity; a case analysis scenario can include misleading or false information . A case study paper must report research objectively and factually to ensure that any findings are understood to be logically correct and trustworthy. A case analysis scenario may include misleading or false information intended to deliberately distract from the central issues of the case. The purpose is to teach students how to sort through conflicting or useless information in order to come up with the preferred solution. Any use of misleading or false information in academic research is considered unethical.
• Case study is linked to a research problem; case analysis is linked to a practical situation or scenario . In the social sciences, the subject of an investigation is most often framed as a problem that must be researched in order to generate new knowledge leading to a solution. Case analysis narratives are grounded in real life scenarios for the purpose of examining the realities of decision-making behavior and processes within organizational settings. A case analysis assignments include a problem or set of problems to be analyzed. However, the goal is centered around the act of identifying and evaluating courses of action leading to best possible outcomes.
• The purpose of a case study is to create new knowledge through research; the purpose of a case analysis is to teach new understanding . Case studies are a choice of methodological design intended to create new knowledge about resolving a research problem. A case analysis is a mode of teaching and learning intended to create new understanding and an awareness of uncertainty applied to practice through acts of critical thinking and reflection.
• A case study seeks to identify the best possible solution to a research problem; case analysis can have an indeterminate set of solutions or outcomes . Your role in studying a case is to discover the most logical, evidence-based ways to address a research problem. A case analysis assignment rarely has a single correct answer because one of the goals is to force students to confront the real life dynamics of uncertainly, ambiguity, and missing or conflicting information within professional practice. Under these conditions, a perfect outcome or solution almost never exists.
• Case study is unbounded and relies on gathering external information; case analysis is a self-contained subject of analysis . The scope of a case study chosen as a method of research is bounded. However, the researcher is free to gather whatever information and data is necessary to investigate its relevance to understanding the research problem. For a case analysis assignment, your professor will often ask you to examine solutions or recommended courses of action based solely on facts and information from the case.
• Case study can be a person, place, object, issue, event, condition, or phenomenon; a case analysis is a carefully constructed synopsis of events, situations, and behaviors . The research problem dictates the type of case being studied and, therefore, the design can encompass almost anything tangible as long as it fulfills the objective of generating new knowledge and understanding. A case analysis is in the form of a narrative containing descriptions of facts, situations, processes, rules, and behaviors within a particular setting and under a specific set of circumstances.
• Case study can represent an open-ended subject of inquiry; a case analysis is a narrative about something that has happened in the past . A case study is not restricted by time and can encompass an event or issue with no temporal limit or end. For example, the current war in Ukraine can be used as a case study of how medical personnel help civilians during a large military conflict, even though circumstances around this event are still evolving. A case analysis can be used to elicit critical thinking about current or future situations in practice, but the case itself is a narrative about something finite and that has taken place in the past.
• Multiple case studies can be used in a research study; case analysis involves examining a single scenario . Case study research can use two or more cases to examine a problem, often for the purpose of conducting a comparative investigation intended to discover hidden relationships, document emerging trends, or determine variations among different examples. A case analysis assignment typically describes a stand-alone, self-contained situation and any comparisons among cases are conducted during in-class discussions and/or student presentations.

The Case Analysis . Fred Meijer Center for Writing and Michigan Authors. Grand Valley State University; Mills, Albert J. , Gabrielle Durepos, and Eiden Wiebe, editors. Encyclopedia of Case Study Research . Thousand Oaks, CA: SAGE Publications, 2010; Ramsey, V. J. and L. D. Dodge. "Case Analysis: A Structured Approach." Exchange: The Organizational Behavior Teaching Journal 6 (November 1981): 27-29; Yin, Robert K. Case Study Research and Applications: Design and Methods . 6th edition. Thousand Oaks, CA: Sage, 2017; Crowe, Sarah et al. “The Case Study Approach.” BMC Medical Research Methodology 11 (2011):  doi: 10.1186/1471-2288-11-100; Yin, Robert K. Case Study Research: Design and Methods . 4th edition. Thousand Oaks, CA: Sage Publishing; 1994.

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• Last Updated: May 7, 2024 9:45 AM
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Top 40 Most Popular Case Studies of 2021

Two cases about Hertz claimed top spots in 2021's Top 40 Most Popular Case Studies

Two cases on the uses of debt and equity at Hertz claimed top spots in the CRDT’s (Case Research and Development Team) 2021 top 40 review of cases.

Hertz (A) took the top spot. The case details the financial structure of the rental car company through the end of 2019. Hertz (B), which ranked third in CRDT’s list, describes the company’s struggles during the early part of the COVID pandemic and its eventual need to enter Chapter 11 bankruptcy. 

The success of the Hertz cases was unprecedented for the top 40 list. Usually, cases take a number of years to gain popularity, but the Hertz cases claimed top spots in their first year of release. Hertz (A) also became the first ‘cooked’ case to top the annual review, as all of the other winners had been web-based ‘raw’ cases.

Besides introducing students to the complicated financing required to maintain an enormous fleet of cars, the Hertz cases also expanded the diversity of case protagonists. Kathyrn Marinello was the CEO of Hertz during this period and the CFO, Jamere Jackson is black.

Sandwiched between the two Hertz cases, Coffee 2016, a perennial best seller, finished second. “Glory, Glory, Man United!” a case about an English football team’s IPO made a surprise move to number four.  Cases on search fund boards, the future of malls,  Norway’s Sovereign Wealth fund, Prodigy Finance, the Mayo Clinic, and Cadbury rounded out the top ten.

Other year-end data for 2021 showed:

• Online “raw” case usage remained steady as compared to 2020 with over 35K users from 170 countries and all 50 U.S. states interacting with 196 cases.
• Fifty four percent of raw case users came from outside the U.S..
• The Yale School of Management (SOM) case study directory pages received over 160K page views from 177 countries with approximately a third originating in India followed by the U.S. and the Philippines.
• Twenty-six of the cases in the list are raw cases.
• A third of the cases feature a woman protagonist.
• Orders for Yale SOM case studies increased by almost 50% compared to 2020.
• The top 40 cases were supervised by 19 different Yale SOM faculty members, several supervising multiple cases.

CRDT compiled the Top 40 list by combining data from its case store, Google Analytics, and other measures of interest and adoption.

All of this year’s Top 40 cases are available for purchase from the Yale Management Media store .

And the Top 40 cases studies of 2021 are:

1.   Hertz Global Holdings (A): Uses of Debt and Equity

2.   Coffee 2016

3.   Hertz Global Holdings (B): Uses of Debt and Equity 2020

4.   Glory, Glory Man United!

5.   Search Fund Company Boards: How CEOs Can Build Boards to Help Them Thrive

6.   The Future of Malls: Was Decline Inevitable?

7.   Strategy for Norway's Pension Fund Global

8.   Prodigy Finance

9.   Design at Mayo

10. Cadbury

11. City Hospital Emergency Room

13. Volkswagen

14. Marina Bay Sands

15. Shake Shack IPO

16. Mastercard

17. Netflix

18. Ant Financial

19. AXA: Creating the New CR Metrics

20. IBM Corporate Service Corps

21. Business Leadership in South Africa's 1994 Reforms

22. Alternative Meat Industry

23. Children's Premier

24. Khalil Tawil and Umi (A)

25. Palm Oil 2016

26. Teach For All: Designing a Global Network

27. What's Next? Search Fund Entrepreneurs Reflect on Life After Exit

28. Searching for a Search Fund Structure: A Student Takes a Tour of Various Options

30. Project Sammaan

31. Commonfund ESG

32. Polaroid

33. Connecticut Green Bank 2018: After the Raid

34. FieldFresh Foods

35. The Alibaba Group

36. 360 State Street: Real Options

37. Herman Miller

38. AgBiome

39. Nathan Cummings Foundation

40. Toyota 2010

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3 Case Studies: Discovering Market Problems and Their Solutions 

Products should solve market problems. Otherwise, all that’s been created is something neat, not something useful (or profitable). 

How do companies evaluate market problems and build the right solution? The answer: listening and research. But, what does it look like to actually do this work? 

The following are three case studies involving how organizations discovered market problems and designed effective solutions. 

Case Study #1

The market problem: career path uncertainty.

Project Management Institute (PMI), is a not-for-profit professional association, solving the problem of career path uncertainty. 

While many of PMI’s members are advanced in their careers, there is a large segment just starting their project management journey.

PMI noticed an emerging market problem, and that was the early-career project management professionals segment was swimming in a sea of information and in an ocean of uncertainty.

This segment knew they wanted to advance their careers, but getting there was cumbersome and ambiguous. Of course, they could wander around Google search engine results, but what information mattered or, more importantly, what information was wrong?

No career trajectory is entirely linear, and there is no standardized approach to reaching the next milestone. This is the problem.

Market Problem Discovery Through Lemonade Stands

PMI has chapters around the globe. Some are small and others large, but they all have the same mission: to prepare organizations and individuals at every stage of their career journey to work smarter.

It was these chapters that the organization started hearing requests for more help finding reputable resources for those just starting their project management careers. In response, product manager Kerry Brooks deployed teams to set up lemonade stands at events and outside chapter meetings to ask questions.

The qualitative feedback they received helped them design a solution.

After they built concepts and landing pages, they were able to A/B test messaging and conduct surveys and better understand the difference between their “say data” and “do data.”

“Say data” is what people say they want and “do data” is how their audience acted when a solution was presented.

The qualitative and quantitative data helped them validate and launch their solution.

Market Problem Solution: PMI Navigator Career Platform

Users build a profile on this platform and select one to three near-term goals. Then, they receive a custom-built roadmap designed to lead them to their next career milestone.

The roadmap is full of actionable resources like events they should attend, podcasts they should listen to, books and articles they should read, etc. Once they complete a goal, they can move to the next.

This solution solved the problem of ambiguity by giving the users clear directions on what content was valuable and the next steps to take.

Case Study #2

The market problem: new lease accounting standards.

A lease is an agreement between a property owner and a person who wants to use the asset. So, lease accounting is the process of recording the financial impacts of leasing activities in accounting reports. 

During the last four years, the Financial Accounting Standards Board released new standards for this type of accounting. The problem was, current accounting software wasn’t able to accommodate these new standards. 

LeaseQuery was first to the scene with software that could manage these new standards. But, as with any product, being first isn’t a long-term competitive competency. So, they launched a market research strategy to help them expand their product to better serve their customers. 

Market Problem Discovery Through a Question Library 

Interviews are a high-value activity when it comes to uncovering unmet needs and trends. But, LeaseQuery takes a systematic approach to this work. Product manager Joy McCaffrey has created a bank of questions she pulls from to ensure consistency in her research efforts. 

She collects these ideas for questions during meetings, blogs and webinars, and she tags them based on their purpose. For example, she tags questions as exploratory, product-specific, market-specific, software-specific and company. 

She organizes interviews with customers, non-customers, channel partners and the target market. And, she structures every interview to include quantitative close-ended questions and qualitative open-ended questions. 

The pre-established question library gives her a variety of directions she can take the conversation while still providing a format to uncover themes and patterns efficiently. Through this work, she has discovered opportunities as well as disqualified ideas. 

Market Problem Solution: Launching New Products

In addition to solving the problem of not having lease accounting software that helps users navigate new stands,  these interviews inspired the company to expand its product offering in the future.

Case Study #3

The market problem: applying knowledge gained through training to real-world situations .

In May 2020, Pragmatic Institute launched the Pragmatic Alumni Community. 

But the work of building this community began a year prior when the leadership realized there was a market problem: alumni were looking for resources to help them apply their new knowledge to their job after completing a course. 

To begin to uncover more insights about this problem, the company hired the first director of community, Georgina Donahue. 

Georgina approached her work just like any product manager would (with understanding the market problem) because she said, “Community management is product management.”

Market Problem Discovery Through Internal and External Conversations 

The goal was to find where organizational objectives and alumni needs overlapped. Qualitative and quantitative research was used to discover this intersection. 

The challenge was that a community that members love won’t succeed if it doesn’t also support the company’s goals. When it comes to choosing what to invest in and what to cut, it’s hard to make a business case for something that isn’t fueling progress. 

Similarly, a community that is perfectly aligned with company goals but isn’t helpful to members will quickly become a ghost town.  

So, the research was designed to understand what features of a community would make training more valuable and to understand how it’d integrate into other organizational initiatives. 

Interviews were conducted with 20 internal stakeholders and 20 alumni, followed by a survey with 400 respondents.  

The team continues to survey and listen to the community to improve and add features to the platform. 

Market Problem Solution: No Question Left Behind

The research uncovered that both groups were interested in the practical application of theory. 

Of course, Pragmatic Institute wants students to have the support they need to put their training to work in their jobs, and students were seeking use cases. 

The community has a motto: “No Question Left Behind.” 

The PAC grew to 20,000 members in less than two years, and the fuel of that growth is peer-to-peer conversations. 

Community members can join cohorts based on areas of interest and industries, so conversations are always relevant. 

But most importantly, every question in the PAC is answered by professionals and peers who share their experience, examples, templates, resources and best practices. 

Are you looking to find the right solution to market problems?

We have a big course update to the course  Market,  which helps you gain a thorough understanding of your buyers and how they like to buy so you can build the product marketing strategies that deliver results.  >> Learn more 

We also launched a new course, Insight, which provides you with a grounded and actionable approach to incorporating data into product practices and decisions.  >> Learn More 

Both of these training opportunities can help you take your product management and product marketing skills to the next level.

If you’re new to Pragmatic Institute, we invite you to take the course, Foundations,  which helps you understand your market and the problems it faces, and then use that market knowledge to build and sell products people want to buy.

This course is live online and on-demand. It’s also a prerequisite for all of our other product courses.  >> Learn More

The Pragmatic Editorial Team comprises a diverse team of writers, researchers, and subject matter experts. We are trained to share Pragmatic Institute’s insights and useful information to guide product, data, and design professionals on their career development journeys. Pragmatic Institute is the global leader in Product, Data, and Design training and certification programs for working professionals. Since 1993, we’ve issued over 250,000 product management and product marketing certifications to professionals at companies around the globe. For questions or inquiries, please contact [email protected] .

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Case Interview: Complete Prep Guide

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Welcome to our preparation tips for case interviews!  Whether you are just curious about case interviews or are planning to apply for consulting internships or full-time jobs, these tips and resources will help you feel more prepared and confident.

A case interview is a role playing exercise in which an employer assesses how logically and persuasively you can present a case. Rather than seeing if you get the “correct” answer, the objective is to evaluate your thought process. ( Adapted with permission from Case In Point: Complete Case Interview Preparation by Marc Cosentino). 

Case interviews are very commonly used in the interview process for consulting firms and companies in similar industries. In the case interview, you will typically be given a business problem and then asked to solve it in a structured way. Learning this structure takes preparation and practice. You can learn more and practice using the resources listed below.  

Why are Case Interviews Used?

Case interviews allow employers to test and evaluate the following skills:

• Analytical skills and logical ability to solve problems
• Structure and thought process
• Ability to ask for relevant data/information
• Tolerance for ambiguity and data overload
• Poise and communication skills under pressure and in front of a client

How can I prepare for Case Interviews?

1.) Read Management Consulted’s “Case Interview: Complete Prep Guide (2024)”

Management Consulted is a FREE resource for Tufts students : case and consulting resources such as 500 sample cases, Case Interview Bootcamp,  Market Sizing Drills, Math Drills, case videos, consulting firm directory, and more

2.) Review additional resources:

• Case in Point – This book, by Marc Cosentino, is a comprehensive guide that walks you through the case interview process from beginning to end. This guide has helped many students over the years and can serve as an excellent foundation for how to approach business problems
• Casequestions.com – The companion website to Marc Cosentino’s book listed above offers preparation for case interviews, along with links to top 50 consulting firms
• Management Consulting Case Interviews: Cracking The Case – tips for case interviews from the other side of the table, from Argopoint, a Boston management consulting firm specializing in legal department consulting for Fortune 500 companies
• Preplounge.com – Free case preparation access for to up to 6 practice interviews with peers, selected cases, and video case solutions
• RocketBlocks – Features consulting preparation such as drills and coaching
• Practice sample online cases on consulting firm websites such as McKinsey , BCG , Bain , Deloitte and more!  

3.) Schedule a mock case interview appointment with  Karen Dankers or Kathy Spillane , our advisors for the Finance, Consulting, Entrepreneurship, and Business Career Community.

4.) PRACTICE PRACTICE PRACTICE cases out loud on your own (yes, that can feel odd) or preferably, with another person. See #2 and #3 above for resources and ideas to find partners to practice live cases

5.) Enjoy and have fun solving business problems!

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Multi-objective generalized normal distribution optimization: a novel algorithm for multi-objective problems

• Open access
• Published: 08 May 2024

Cite this article

You have full access to this open access article

• Nima Khodadadi 1 ,
• Ehsan Khodadadi 2 ,
• Benyamin Abdollahzadeh 3 ,
• El-Sayed M. EI-Kenawy 4 ,
• Pezhman Mardanpour 5 ,
• Weiguo Zhao 6 ,
• Farhad Soleimanian Gharehchopogh 3 &
• Seyedali Mirjalili 7 , 8 , 9  

This study introduces the Multi-objective Generalized Normal Distribution Optimization (MOGNDO) algorithm, an advancement of the Generalized Normal Distribution Optimization (GNDO) algorithm, now adapted for multi-objective optimization tasks. The GNDO algorithm, previously known for its effectiveness in single-objective optimization, has been enhanced with two key features for multi-objective optimization. The first is the addition of an archival mechanism to store non-dominated Pareto optimal solutions, ensuring a detailed record of the best outcomes. The second enhancement is a new leader selection mechanism, designed to strategically identify and select the best solutions from the archive to guide the optimization process. This enhancement positions MOGNDO as a cutting-edge solution in multi-objective optimization, setting a new benchmark for evaluating its performance against leading algorithms in the field. The algorithm's effectiveness is rigorously tested across 35 varied case studies, encompassing both mathematical and engineering challenges, and benchmarked against prominent algorithms like MOPSO, MOGWO, MOHHO, MSSA, MOALO, MOMVO, and MOAOS. Utilizing metrics such as Generational Distance (GD), Inverted Generational Distance (IGD), and Maximum Spread (MS), the study underscores MOGNDO's ability to produce Pareto fronts of high quality, marked by exceptional precision and diversity. The results affirm MOGNDO's superior performance and versatility, not only in theoretical tests but also in addressing complex real-world engineering problems, showcasing its high convergence and coverage capabilities. The source codes of the MOGNDO algorithm are publicly available at  https://nimakhodadadi.com/algorithms-%2B-codes .

Avoid common mistakes on your manuscript.

1 Introduction

Computers have recently become a primary tool in various areas for tackling challenging problems. Computer-helped design is an area that stresses using computers in determining problems as well as making systems. A system's design process would have necessitated direct human involvement in the past. For example, if a developer intended to locate an optimum form for a high-rise building, s/he would need to initially develop a model and then utilize a wind tunnel to examine it.

Clearly, this design method was expensive and required significant time, with both these elements escalating sharply each year in line with human advancement.

The creation of computers accelerated the design procedure substantially several years back. This indicates that we can utilize computers to make a system without also the demand for a solitary model. Consequently, the design procedure's price and time are considerably less than before. Despite the reality that the device is a fantastic help, making a system still needs straight human participation. This causes a collection of experimentation where the developer attempts to develop an effective strategy. It is indisputable that a developer is prone to errors, which makes the design procedure undependable. The primary duty of a designer entails establishing the framework and utilizing computer software to discover optimal designs.

Optimization methods are widely regarded as practical approaches for determining the best computer designs. Most of the approximate techniques are global search methods, which are called metaheuristics. These methods are developed to alleviate the weaknesses of classical approaches. Metaheuristic algorithms can discover nearly global or global solutions through informed decision-making. Over the past several decades, a wide array of metaheuristic algorithms inspired by natural phenomena, collective behavior, and scientific principles have been proposed, such as Differential Evolution (DE) [ 1 ], Ant Colony Optimization (ACO) [ 2 ], Particle Swarm Optimization (PSO) [ 3 ], Hippopotamus Optimization (HO) [ 4 ] algorithm, Mountain Gazelle Optimizer (MGO) [ 5 ], Al-Biruni Earth Radius (BER) [ 6 ], Puma Optimization (PO) [ 7 ] and Stochastic Paint Optimizer (SPO) [ 8 ]. Algorithms such as Advanced Charged System Search (ACSS) [ 9 ], Chaos Game Optimization (CGO) [ 10 ], and Dynamic Arithmetic Optimization Algorithm (DAOA) [ 11 ] are called physics- or mathematics-based algorithms, which obey the rules in physics or mathematics. Many researchers utilized these algorithms to solve structural optimization problems such as trusses [ 12 , 13 , 14 , 15 ], frames [ 16 , 17 , 18 ], real structural engineering applications [ 19 , 20 , 21 , 22 , 23 , 24 ] and applications of medicine [ 25 , 26 , 27 ]. The research indicates that when applied to complex optimization issues, metaheuristic algorithms have the capability to provide highly accurate solutions within a practical timeframe. Ease of implementation, simple framework, good accuracy, and reasonable execution time are advantages of metaheuristic algorithms compared with the analytical techniques.

Addressing real-world problems presents several challenges that necessitate the use of specific tools. Multi-objectivity is one of the essential characteristics of real-world challenges that makes them difficult to solve. When multiple objectives need to be improved, a challenge is referred to as a multi-objective problem. Obviously, numerous objective optimizers need to be utilized to resolve such issues.

David Schaffer suggested an advanced concept in 1985 [ 28 ]. He explained how to use stochastic optimization techniques to solve multi-objective problems. Ever since, remarkably, a considerable variety of investigations have been committed to establishing multi-objective evolutionary/heuristic formulas. The application of stochastic optimization techniques to real-world scenarios has been made more accessible through the utilization of gradient-free methods and strategies that prevent getting trapped in local optima. Multi-objective optimization approaches are being used in various fields these days. Strength–Pareto Evolutionary Algorithm (SPEA) [ 29 ], Multi-objective Particle Swarm Optimization (MOPSO) [ 30 ], Multi-objective Artificial Vultures Optimization Algorithm (MOAVOA) [ 31 ], Multi-objective Evolutionary Algorithm based on Decomposition (MOEA/D) [ 32 ], Multi-objective Flower Algorithm (MOFA), Multi-objective Thermal Exchange Optimization (MOTEO) [ 33 ], Multi-objective Seagull Optimization Algorithm (MOSOA) [ 34 ], Multi-objective Stochastic Paint Optimizer (MOSPO) [ 35 ], Pareto–frontier Differential Evolution (PDE) [ 36 ], Multi-objective Moth-Flame Optimization (MMFA) [ 37 ], Multi-objective Salp Swarm Algorithm (MSSA) [ 38 ] and Multi-objective Artificial Hummingbird Algorithm (MOAHA) [ 39 ] are multi-objective optimization methods. Many of the single-objective methods that have been developed may also be used to address multi-objective optimization problems. Several of the most current ones are the Multi-objective Ant Lion Optimizer (MOALO) [ 40 ], Multi-objective Arithmetic Optimization Algorithm (MAOA) [ 41 ], Multi-objective Grey Wolf Optimizer [ 42 ], Multi-objective Material Generation Algorithm (MOMGA) [ 43 ], Multi-objective Multi-Verse Optimization (MOMVO) [ 44 ] and Multi-objective Harris Hawks Optimization (MOHHO) [ 45 ].

The generalized normal distribution optimization (GNDO), proposed recently by Zhang et al. [ 46 ], is recognized for its proficiency in globally searching optimal solutions to single-objective optimization problems. An initial glance at pertinent research demonstrates that GNDO has successfully resolved complex optimization challenges across numerous fields. The introduction of a novel multi-objective algorithm can be driven by various factors, including:

This multi-objective algorithm provides superior performance compared to existing algorithms. This can be due to the incorporation of new techniques, optimization strategies, and design methodologies. The improved performance can make the algorithm more suitable for real-world applications.

Presenting a new algorithm that has not been explored before can bring new insights into multi-objective optimization. By introducing a novel approach, one can contribute to the advancement of the field and potentially lead to breakthroughs in solving challenging problems.

Multi-objective optimization problems can be diverse, and some may require specialized algorithms that are tailored to their specific requirements.

By presenting a new algorithm for the first time, one can compare it with state-of-the-art algorithms and demonstrate its superiority. This can help establish the new algorithm's effectiveness and provide a benchmark for future comparisons.

The main motivation for presenting MOGNDO is to create a multi-objective (MO) variant of GNDO, equipping it to tackle multi-objective optimization (MOO) algorithm issues. The authors have leveraged the CEC'20 test suite to gauge MOGNDO's performance. The concept proposed in the No Free Lunch (NFL) theory [ 47 ] influenced the development of a multi-objective variant of the existing single-objective GNDO method. To sum up, this paper offers the following contributions:

The MOGNDO algorithm was formulated as a multi-objective adaptation of the GNDO algorithm, leveraging its benefits. The effectiveness of MOGNDO was measured against seven cutting-edge multi-objective optimization (MOO) algorithms using 35 mathematical benchmarks, encompassing CEC09, ZDT, DTLZ, and CEC2020.

Five indicators were used to demonstrate MOGNDO's strength and robustness.

In order to differentiate the proposed MOGNDO algorithm from other selected algorithms, a statistical test was conducted.

The application of MOGNDO to optimize engineering problems further illustrated its credibility in solving real-world problems.

Visual representations of the Pareto sets and Pareto fronts obtained by MOGNDO were also provided.

The proposed MOGNDO algorithm was found to be superior in both qualitative and quantitative analyses.

The MOGNDO algorithm was evaluated against other cutting-edge algorithms across multiple optimization problems, using diverse performance indicators.

According to the NFL [ 47 ] theorem, no optimization algorithm can solve all optimization issues, allowing scientists to propose new or improve existing algorithms to solve optimization challenges. This assertion holds valid for both single and multi-objective optimization methodologies. This theorem establishes that excellent results achieved by an optimizer on one set of problems do not assure equivalent outcomes on a different set of problems. This principle underlies numerous studies in the field, enabling researchers to modify existing methods for novel problem classes or develop new optimization algorithms. It also serves as both the basis and the inspiration for this study. This research introduces a multi-objective version of the recently suggested GNDO [ 46 ], capable of addressing optimization issues for diverse applications. As per the NFL theorem, current algorithms documented can address a wide range of problems, but they are only universal solutions to some optimization challenges. This research promotes the use of multi-objective GNDO to tackle emerging complexities. The processes utilized resemble those employed by MOGWO [ 42 ], yet the exploration and exploitation stages of MOGNDO are inherited from the GNDO algorithm.

The paper's remainder is prepared as follows: Sect.  2 explains the terminologies of MOO problems and their standard interpretations. Section  3 provides the standard version of GNDO as well as suggests the MOGNDO algorithm. Section  4 describes the outcomes, discussions, and evaluation of the test and the engineering problems utilized. As the last point, Sect.  5 gives the final thoughts on the work and also the future.

The methodologies employed bear similarity to those used by MOGWO [ 42 ], but the discovery and utilization phases of MOGNDO are taken from the GNDO algorithm. Here are some of the advantages that come with adopting this approach:

The GNDO algorithm has been modified to include an archive to ensure that non-dominated solutions are recovered.

It has been decided to include a grid mechanism in the GNDO to improve the non-dominated solutions currently in the archive.

It has really been advised that a leader selection method be implemented based on the current best position of the population.

2 A study of the literature

Addressing single-objective optimization problems typically presents a more straightforward endeavor as compared to multi-objective optimization problems, owing primarily to the existence of a singular, unique solution governed by one objective function. This singularity in objective paves the way for a more facile process of comparing solutions and ascertaining the absolute optimal solution in single-objective contexts. Conversely, multi-objective optimization problems are characterized by a plurality of solutions, adding layers of complexity to the solution evaluation process [ 48 , 49 ]. The following is an illustration of a MOO that can be formulated as a problem of minimization [ 50 ]:

Here, the number of inequality constraints, equality constraints, variables, and objective functions are denoted by \(Q, P, D\) , and \(Z\) , respectively. The lower and upper limits of the \(i\) th variable are represented by \(L_i\) and \(U_i\) .

First Definition:

Pareto dominance. \(\vec{x}\) and \(\vec{y}{ }\) are two solutions with cost functions as:

Referring to Fig.  1 and considering a minimization problem, it is stated that solution \(\vec{x}\) dominates solution \(\vec{y}\) ( \(noted{ }as{ }\vec{x} \prec \vec{y}\) ) only if none of \(\overrightarrow {y }\) 's cost components are less than the equivalent cost components of \(\vec{x}\) , and at least one component of \(\vec{x}\) must be smaller than that of \(\vec{y}\) . This can be formally represented as follows:

Pareto dominance

The concept of Pareto optimality is based on the definition of Pareto dominance [ 51 ]:

Second Definition:

Pareto optimality. A solution \(\vec{x}{ } \in X\) is called Pareto-optimal if and only if:

The following description is provided for the Pareto optimal set, which comprises all non-dominated solutions to a specified problem [ 52 ]:

Third Definition:

Pareto optimal set. The computation of the Pareto optimal set \((P_s ){ }\) for a specific MOO is outlined as per Eq. ( 7 ). No feasible solution within this set can be dominated by any other feasible solution in the same set. The ensemble of Pareto optimal solutions is illustrated in Fig.  2 .

Pareto optimal solutions

Here is the formulation for the Pareto optimal front:

Fourth Definition:

Pareto optimal front. As depicted in Fig.  2 , a Pareto front ( \(P_f\) ) represents the Pareto optimal set in the objective space. Based on the preceding definitions, the equation can be articulated as Eq. ( 8 ).

The comprehensive process of multi-objective optimization is illustrated in Fig.  3 . This represents an intermediate or current front of non-dominated solutions found by the optimization process. It is an approximation of the True Pareto Front.

Multi-objective optimization process

One of the most often used multi-objective GAs is NSGA II [ 53 ]. In this version, Pareto sets are labeled starting with the first non-dominated Front by a non-dominated sorting mechanism. A crowded-comparison operator assigns a crowding distance metric to each solution, subsequently steering the selection process based on this metric. In alignment with the concept of elitism, the algorithm opts for solutions with lower domination ranks for survival, and prefers solutions positioned in less congested locations, thereby maintaining solution diversity. In order to achieve a population that is the same size as the initial population, the technique for selecting non-dominated individuals must be performed several times. Finally, these steps are taken before an end condition is achieved.

Particle swarm optimization (PSO) [ 3 ] is another known technique that draws inspiration from the collective behavior of various species such as birds and fish. In every iteration, the particles (solutions) are inclined to align with the best personal and global solutions experienced by all particles until the iteration concludes. Coello and Lechuga [ 54 ] establishes a repository with a specific capacity to gather non-dominated solutions, which can be deployed in further process steps. In order to pinpoint areas of the objective function's search space that have been less explored, the search space is divided into equal-sized hypercubes. This feature allows the algorithm to preserve solution diversity and distribute them across the entire Pareto space, offering designers a broad range of options instead of concentrating on specific zones. MOPSO incorporates a mutation method known as disturbance to enhance solution randomness and variability [ 55 , 56 ].

3 Multi-objective generalized normal distribution optimization

In the subsequent section, the GNDO algorithm is initially introduced. Following this, a multi-objective GNDO, aimed at resolving multi-objective optimization issues, is formulated and put forth in the scholarly work. Lastly, the computational complexity of MOGNDO is suggested.

3.1 Generalized normal distribution optimization (GNDO)

The GNDO algorithm was introduced by Zhang et al. [ 46 ]. Both exploration and exploitation are balanced via several strategies in the proposed method. Typically, the procedure of searching in methods that use a group of solutions involves three key phases. Initially, every starting solution is spread out. Next, these solutions begin moving towards the best solution, guided by specific searching and refining strategies. Eventually, they all converge near the best-found solution. This process can be explained using multiple normal distributions, where the location of each solution is considered as a variable that follows a normal distribution. At the beginning, the average location and the best location are far apart, and the variation in all solutions' locations is quite large. As the search progresses, the gap between the average location and the best location narrows, and the variation in locations decreases. In the final phase, both the distance from the average to the best location and the variation in solutions' locations are minimized.

GNDO features a straightforward framework, with its information sharing mechanisms comprising local exploitation and global exploration. Exploitation leverages a generalized normal distribution model, steered by the present average and optimal positions. Meanwhile, exploration involves the selection of three individuals at random. As outlined below, the procedure started with the creation of a random population:

where: \(i = 1,2,3, \ldots ,N,\;{ }j = 1,2,3, \ldots ,D.\)

where the number of design variables is defined by \(D\) , the number of population size is defined by \(N\) the lower and upper boundary of the jth design variable is described by \(l_j\) and \(u_j\) , respectively. \({ }\lambda_5 { }\) is a random number in the interval of [0, 1].

3.1.1 Exploration

All created populations are evaluated via objective function. The following steps will be continued until satisfying the end criterion. Exploration and exploitation are switched with a generated random number for every solution in the population. Global exploration involves scanning the entire speech space to identify areas with potential. In GNDO, this exploration is conducted using three individuals chosen at random. The proposed method used an equation for exploration as follows:

where two random distributions were created \(\lambda_3\) and \(\lambda_4\) from the normal distribution. The parameter \(\beta { }\) is a random number between 0 and 1. The following are the two trail vectors \(v_1\) and \(v_2\) :

where three random integers number ( \(p1\) , \(p{2, }\) and \(p3\) ) must satisfy \(p1 \ne p2 \ne p3 \ne i\) are chosen from 1 to \({ }N\) . Based on Eqs. ( 11 ) and ( 12 ), the second term on the right side of Eq. ( 10 ) is referred to as the local learning term. This denotes that solution \(p1\) exchanges information with solution \(i\) . The third term on the right of Eq. ( 10 ) is termed global information sharing, signifying that individual \(i\) receives information from individuals \(p2\) and \(p3\) . The adjustment parameter \(\beta\) is utilized to strike a balance between these two strategies for sharing information. Additionally, \(\lambda_3\) and \(\lambda_4\) are random variables following a standard normal distribution, enhancing GNDO's capability to explore a broader search space during global search activities. The inclusion of the absolute value symbol in Eq. ( 10 ) ensures alignment with the screening mechanism outlined in Eqs. ( 11 ) and ( 12 ).

3.1.2 Exploitation

Local exploitation involves the pursuit of improved solutions within the vicinity of the existing positions of all individuals in the search space. This approach is grounded in the correlation between the population's distribution of individuals and the normal distribution, enabling the construction of a generalized normal distribution model for optimization.

The proposed method used an equation for exploitation as follows:

where \(v_i^t\) represents the trial vector for the i th individual at time \(t\) , \(\mu_i\) denotes the generalized mean position of the i th individual, \(\delta_i\) signifies the generalized standard variance, and \(\eta\) is the penalty factor. In addition, three random numbers ( \(a\) , \({ }b\) , \({ }\lambda_1\) and \({ }\lambda_2\) ) are generated between 0 and 1, \(x_{{\text{Best}}}^t\) is the best position and the mean position of the current population is defined as \(x_{{\text{Best}}}^t\) and \(M\) , respectively.

It's important to recognize that the i th individual might not always identify a superior solution through either local exploitation or global exploration strategies. To ensure that improved solutions are carried forward into the subsequent generation's population, a selection mechanism has been devised, which can be described as follows:

The subsequent section will introduce the multi-objective variant of GNDO.

3.2 Multi-objective generalized normal distribution optimization (MOGNDO)

To carry out multi-objective optimization, two new components have been incorporated into the GNDO. These components resemble those used in MOPSO [ 30 ]. The initial element is an archive, which serves the purpose of preserving non-dominated Pareto optimal solutions that have been attained thus far. The subsequent element comprises a leader selection strategy that facilitates the identification of the most appropriate existing position solutions from the archive to serve as leaders for the search operation.

3.2.1 Archive mechanism (AM)

The designed external archive aims to preserve the solutions that are not dominated, as obtained up until now. It consists of two key elements: an archive controller and a grid. The archive controller determines whether or not a solution is to be included in the archive. Solutions that are dominated by those already in the archive are immediately excluded. Conversely, solutions not dominated are added to the archive. Should a current archive member be dominated by a new solution, the new solution replaces the older one. It is important to note that the archive has a limit on the number of its members.

When the archive reaches its capacity, an adaptive grid mechanism is activated. The grid's role is to maintain the diversity of solutions within the archive as much as possible. The objective space is segmented into multiple areas. If a new solution falls outside the existing grid boundaries, the grid is adjusted to encompass this new solution. If the solution is already within the grid, it is allocated to the area with the fewest solutions. There are four distinct scenarios that could occur:

If a new member is outclassed by any existing archive solution, it is denied entry.

A new solution that outclasses one or more archived solutions leads to the removal of those solutions, allowing the new solution to be included.

New solutions that neither dominate nor are dominated by existing solutions are added to the archive.

When the archive is full, the grid mechanism reorganizes the objective space, removing a solution from the most crowded segment and adding the new solution to the least crowded segment to enhance diversity.

The likelihood of removing a solution rises in relation to the quantity of solutions within a given hypercube (segment). To free up space for new entries when the archive is at capacity, solutions are first targeted for removal from the most densely populated segments, with a solution being randomly selected for elimination. A unique situation arises when a solution is added outside the existing hypercubes; in such instances, all segments are expanded to encompass the new solution, potentially altering the segmentation of other solutions as well.

3.2.2 Leader selection mechanism (LSM)

The second element involves the mechanism for selecting a leader. the best solutions obtained so far are used as the current best position. This leading position then steers other search agents towards the most promising areas within the search space, with the objective of uncovering a solution that approximates the global optimum as closely as possible. However, in a search space with multiple objectives, comparing solutions directly becomes complex due to the principles of Pareto optimality outlined in the previous section. To navigate this complexity, a leader selection strategy is implemented. This strategy utilizes an archive that records the best non-dominated solutions identified up to the present. It selects leader from the less dense areas of the search space, offering one of these non-dominated solutions as the new optimal position. This selection process employs a roulette-wheel method, where the likelihood of each hypercube proposing a new leader is detailed in Eq. ( 19 ), highlighting that sparsely populated hypercubes are more likely to influence the selection of a new leader.

In the equation, \(C\) is a constant number greater than one, and \(K\) represents the number of acquired Pareto optimal solutions in the i th section.

The chance of a hypercube being chosen for leader selection is boosted as the count of solutions within it diminishes, acknowledging that certain exceptional scenarios may necessitate specific leader selections. As a result, the search consistently gravitates towards areas of the search space that have not been thoroughly explored or exposed, since the leader selection framework prioritizes hypercubes with minimal crowding and suggests leaders from various segments.

To improve the performance of MOGNDO for multi-objective problems, Eq. ( 14 ) needs to be adjusted as follows:

In Eq. ( 20 ), \(M\) stands for the average position of the leader population. With regards to computational complexity, where \(n\) stands for the total population count and \(m\) indicates the overall number of objectives, the computational complexity of MOGNDO is expressed as \(O(mn^2 )\) . This computational complexity is more efficient than methods such as NSGAII [ 53 ], which have a complexity of \(O(mn^3 ).\) The pseudo-code of MOGNDO is ultimately provided as follows:

To grasp the theoretical efficiency of the proposed MOGNDO algorithm for multi-objective problems, a few points can be highlighted as follows:

The external archive efficiently stores the top non-dominated solutions discovered up to now.

The GNDO mechanism ensures both exploration and exploitation within the search for MOGNDO.

The grid mechanism, alongside the leader selection component, preserves the archive's diversity throughout the optimization process.

The roulette-wheel method used in selecting leader assigns a lower probability for choosing leader from the most populated hypercubes.

The MOGNDO algorithm retains all the features of GNDO, indicating that the search agents explore and exploit the search space in an identical way.

The convergence of the MOGNDO algorithm undoubtedly derives from the GNDO algorithm since it employs the same mathematical framework to seek out optimal solutions. Search particles adjust their positions rapidly at the beginning of the optimization process and more slowly towards the end. This pattern ensures the algorithm's convergence within the search space. Selecting a single solution from the archive allows the MOGNDO algorithm to enhance its effectiveness. However, identifying a set of Pareto optimal solutions that also exhibits significant diversity poses a considerable challenge. To address this issue, we have drawn inspiration from the MOPSO algorithm, adopting its leader selection mechanism. We employed a roulette wheel approach and Eq. ( 19 ) to select a non-dominated solution from the archive and archive management strategies. It is evident that the archive must have a capacity limit, and the selection of solutions from the archive must aim to enhance overall distribution. In addition, if one solution from the archive is selected, the quality can be improved by the GNDO algorithm. However, it remains challenging to discover the set of Pareto optimal solutions with a wide range. This challenge has been surmounted through the integration of leader feature selection and archive maintenance.

In the MOGNDO algorithm, the initial step involves estimating the true Pareto optimal front for a given multi-objective optimization problem, starting with a randomly chosen collection of solutions. Each solution is evaluated based on multiple objectives. In single-objective optimization, comparing solutions is straightforward because there is only one objective function. For problems where the goal is to maximize, solution \(X\) is considered superior to solution \(Y {\text{if}} X > Y\) . However, in the context of multi-objective optimization, solutions cannot be directly compared using simple relational operators due to the presence of multiple criteria for comparison. Here, one solution is deemed better than (or dominates) another if it has equal or superior performance across all objectives and excels in at least one objective function. The algorithm identifies and stores all non-dominated solutions in an archive. After the first iteration, it continually adjusts the solutions' positions using Eq. ( 9 ). This equation allows for the exchange of variables with either an archived solution or a non-dominated solution in the current set. The first method focuses on utilizing the best Pareto optimal solutions obtained so far, while the second method aids in exploring the search space more thoroughly. This process of refining the solutions continues until a predetermined stopping criterion is fulfilled. The algorithm also improves the distribution of solutions across all objectives by selecting solutions from less crowded areas of the archive.

All features of the MOGNDO are inherited by the GNDO algorithm, which suggests that search agents explore and exploit the search space in a similar fashion. The key difference is that MOGNDO employs an external archive to store the non-dominated services and conducts a search surrounding a set of archive members. Moreover, the proposed MOGNDO comes with a few constraints, which are as follows:

The algorithm can only be used to optimize multi-objective problems with no more than three or four objectives. As the number of objectives increases, the effectiveness of MOGNDO decreases, which is a common issue with algorithms based on the Pareto principle. This is because the archive fills up quickly with non-dominated solutions, making it challenging to find optimal solutions for problems with more than four objectives.

The algorithm is designed to solve optimization problems involving continuous variables, limiting its applicability to other types of problems, such as discrete or mixed-integer optimization problems.

4 Results and discussion

The effectiveness of the proposed approach is assessed in this section using performance metrics and 35 distinct case studies. These encompass unconstrained and constrained bi-objective and tri-objective mathematical problems, as well as practical engineering design problems. These tests and mathematical functions are used to ascertain the capability of multi-objective optimizers in addressing non-convex and non-linear challenges. The algorithm has been implemented in MATLAB 2022a, the details of which are described below. The computer specifications used to carry out this project are as follows: a Macintosh computer with OS X, powered by an Intel Core i9 platform, equipped with 16GB 2400MHz DDR4 RAM and a 2.3 GHz CPU (macOS Ventura).

4.1 Performance metrics

In order to evaluate the results of the algorithms, we employed five metrics in the following manner [ 58 , 59 ]:

Generational distance (GD): The aggregate distance between potential solutions generated through various methods provides a smart metric for evaluating the convergence traits of multi-objective meta-heuristic algorithms.

Spacing (S): A metric to demonstrate the degree of divergence among solution candidates when contrasted against various result sets obtained by multiple algorithms.

Maximum spread (MS): This illustrates the dispersion of potential solutions amongst other achieved sets, taking into account the diverse optimal choices.

Inverted generational distance (IGD): This measure enables precise performance assessment of Pareto front approximations using multi-objective optimization methods [ 60 ].

Wilcoxon rank-sum Test (WRT): The Wilcoxon rank-sum test, a non-parametric statistical technique, is employed to determine whether two or more datasets originate from an identical distribution. This test employs a significance level of 5%. This examination is utilized to conduct a comprehensive evaluation of the efficacy of the algorithm. As per the null hypothesis, if the mean metrics attained by the two algorithms under comparison are the same, there is no discernible difference in their performance. Conversely, the alternative hypothesis proposes that a difference exists in the mean metrics generated by the algorithms under comparison. The paper presents a comparative analysis of the algorithms, highlighting their differences with mathematical symbols such as subtraction, addition, and equality operators. These indicators denote whether the algorithm exhibits inferior performance, significantly superior performance, or no distinguishable difference, correspondingly.

The evaluation of the algorithms' performance in approximating Pareto optimal solutions is determined by the S and MS metrics, while the measurement of their convergence is based on the IGD and GD performance metrics. After conducting mean-based assessments to evaluate the performance of the algorithm and comparing it using the Wilcoxon rank-sum test, it was determined that the algorithm exhibited a high level of competitiveness and effectiveness.

4.1.1 Numerical setup

This section presents a comparison among MOPSO, MOGWO, MOHHO, MSSA, MOALO, MOMVO, MOAOS, and MOGNDO. The best figure from a set of Pareto optimal figures is emphasized. To ensure a fair comparison, all experiments are performed on the same device. Table 1 displays all initial parameters for the aforementioned algorithms. The parameters for the algorithm are set to their default values, minimizing the chance of superior parametrization bias, as advocated by Arcuri and Fraser [ 61 ]. Furthermore, the control parameters for the algorithms under comparison were derived from their respective references. The optimal parameter for each algorithm, as outlined in their references, is utilized in this context. It is important to note that all experiments incorporated 100 populations and a maximum of 1000 iterations. The efficiency of the proposed algorithm is evaluated in this section on 35 cases, including 7 unconstrained and constrained functions, ten traditional multi-objective CEC-09, eight engineering design problems, and 10 CEC-2020 problems.

The death penalty was used in multi-objective problems. However, the death penalty's role is to be used to discard solutions that are not feasible, and the knowledge of those solutions that are useful in solving the problem of controlled inviolable regions is not utilized [ 54 ]. Due to its simplicity and low computational cost, the MOGNDO algorithm has been equipped with a death penalty feature to deal with multiple constraints. The benchmark problems are offered in Tables 2 , 3 and 4 . Engineering design problems are considered one of the most challenging examination problems in literary works that give various multi-objective search spaces with different Pareto optimal fronts: convex, non-convex, discontinuous, and also multimodal. It might be observed that examination functions with varied features are picked to evaluate the efficiency of MOGNDO from various points of view. Although examination functions can help analyze an algorithm, solving real problems is constantly much more difficult. Tables 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 and 16 provide the results of 30 independent runs on the 100,000 function evaluations for all algorithms in this study.

4.2 Numerical discussion of the ZDT and DTLZ test function

The initial set of problems consist of mathematical problems. The mean and standard deviation results for all performance metrics for ZDT and DTLZ problems are displayed in Tables 5 , 6 , 7 and 8 . The results for the GD performance metric are indicated in Table  5 . As per this table, the Pareto optimal solutions garnered by MOGNDO exhibit greater convergence than MOPSO, MOGWO, and MOHHO on ZDT1, ZDT2, and ZDT3.

The results when using the IGD metric are provided in Table  6 . It can be seen that MOGNDO is slightly better than MOPSO in this metric. These outcomes reveal the efficiency of the MOGNDO algorithm is much steadier than MOPSO. Considering that IGD is an excellent measurement to benchmark an algorithm's convergence, these outcomes show that the proposed algorithm has a much better quantitative efficiency, both considering convergence and distribution convergence on this benchmark function.

The value of the outcomes for the IGD metric is depicted in Fig.  4 . The worst outcomes come from MOHHO handling these benchmark problems. The boxplots depicted in Fig.  4 reveal that this algorithm yields highly unfavorable results, while MOGNDO's outcomes are more competitive in comparison. In addition, the boxplot of the MOGNDO is narrower than MOPSO, MOGWO and also MOHHO in most problems, revealing the strength of the MOGNDO algorithm is converging towards the true Pareto optimal front.

Boxplot of the statistical results (IGD) for ZDT and DTLZ problems

Table 7 shows the MS performance metric of all algorithms. The coverage of Pareto optimal solutions for algorithms is calculated by the maximum spread metric. It is evident that the results of MOGNDO are better than MOPSO, MOHHO and MOGWO for all test problems. Thanks to this, the proposed method has competitive coverage in comparison with the other mentioned methods. MOGNDO obtains the best results in ZDT1, ZDT2, ZDT6, DTLZ2 and DTLZ4 problems.

Based on the analysis of the true Pareto optimal front and the best-obtained Pareto optimal fronts for the ZDT and DTLZ problems, it is evident from Fig.  5 that MOGNDO's Pareto optimal front consistently outperforms those of MOPSO, MOGWO, and MOHHO in the majority of scenarios. This is further substantiated by the Pareto optimal fronts for ZDT1, ZDT2, and ZDT3 shown in Fig.  5 , where all Pareto optimal solutions estimated by MOGNDO align with the true Pareto Front. This confirms that the suggested MOGNDO algorithm has the potential to offer remarkable outcomes on multi-objective problems. The statistical results for tri-objective benchmarks (DTLZ2 and DTLZ4) are more challenging benchmarks, showing that this method is competitive for solving more than two objective problems. Figure  6 presents the true and the achieved Pareto Front for tri-objective issues from two viewing angles.

True and obtained Pareto front for ZDT benchmarks

True and obtained Pareto front for DTLZ2 and DTLZ4

To compare the diversity of MOGNDO with MOPSO, MOGWO and MOHHO algorithms concerning the spacing metric, the statistical results are obtained from 30 individual runs for ZDT and DTLZ benchmarks. Table 8 shows the results for the spacing performance metric. MOGNOD, MOHHO and MOGWO obtained the best results in terms of this metric simultaneously. It is clear that the MOGNDO presented here will provide a reasonably reliable estimate of true Pareto optimal solutions. Evidence of the MOGNDO's superiority over alternative approaches is presented in Tables 5 , 6 , 7 , and 8 via the Wilcoxon's rank sum test.

4.3 Discussion of the CEC-09 test function

This section focuses on the results obtained from the evaluations of the CEC-09 test functions. Tables 9 and 10 present the statistical outcomes for the IGD and GD metrics, respectively. Table 9 highlights explicitly that the recommended MOGNDO algorithm demonstrates superior performance in terms of IGD metrics for UF1, UF2, UF4, UF9, and UF10. The statistical analysis of the IGD metric for the CEC-09 test functions is visualized in boxplot Fig.  7 . It is worth discussing here that MOGNDO is really efficient for solving more challenging than two-objective problems since UF9 and UF10 are tri-objective function benchmarks. The outcomes and analyses prove that the MOGNDO algorithm can offer really more competitive and appealing outcomes on the multi-objective examination functions concerning the obtained Pareto Front, as seen in Fig.  8 . The Pareto optimal front for the UF5 test problem differs from the first four tests in that it has discontinuities, making it a challenge to find the Pareto optimal set. This is evident in Fig.  8 , where the numerous discontinuous areas pose a problem for all algorithms. The Pareto front for the UF6 test problem has three distinct regions and is quite similar to UF1. As shown in Fig.  8 , MOGNDO has results that are closest to the Pareto front.

Boxplot of the statistical results (IGD) for CEC-09 problems

True and obtained Pareto front for CEC-09 benchmarks (UF1-7)

True and obtained Preto fronts of UF8, UF9, and UF10 are seen in Fig.  9 from different perspectives. According to Fig.  9 , MOGNDO has generated one of the best Pareto sets for the three objective test problems. The figure demonstrates that MOGNDO has a good coverage and convergence, whereas the other algorithms have low convergence rates. In addition, the Pareto optimal set shown in Fig.  9 confirms that MOGNDO has better coverage than the other algorithms. As depicted in Table  1 0, 60% (UF1, UF2, UF3, UF4, UF8, and UF10) of all CEC-09 test functions for all algorithms in MOGNDO obtained the best results, which show that the distance between true and obtained Pareto Front is low in these examples.

True and obtained Pareto front for CEC-09 benchmarks (UF8-10)

By running 30 times on CEC-09 optimization problems independently, the MS metric for MOPSO, MOGWO, MOHHO, and the proposed method is listed in Table  11 . It is evident that MOGNDO shows good results compared with the other mentioned methods. These outcomes indicate the MOGNDO gains the best results of 5 CEC-09 benchmarks out of 10. The average and standard deviation of the S performance metric are listed in Table  12 . UF1, UF2, UF3, UF8, UF9, and UF10 have the best results in terms of average. Inspecting the results on UF8, UF9, and UF10, which have three objective functions, the MOGNDO algorithm obtained the first rank. It proves the proposed method will also be a good choice for more than two objective function problems. The results of the Wilcoxon rank sum test, presented in Tables 9 , 10 , 11 and 12 , provide strong evidence that MOGNDO surpasses the other evaluated methods significantly.

4.4 Discussion of the engineering problem results.

The last collection of examination functions is one of the most difficult ones and also consists of eight real engineering design problems. Equations ( 25 ) to ( 75 ) reveal that these problems have varied features. As a result, the very fit benchmarking the efficiency of the recommended MOGNDO algorithm. The different behavior of the best Pareto optimal fronts and the obtained Pareto fronts are shown compared to the true ones in Fig.  10 . MOGNDO has superior coverage and convergence among all the algorithms. Based on the four superior metrics, as well as its acceptable coverage and convergence factors, MOGNDO is better equipped to provide better solutions for the BNH, CONSTR, WELDED BEAM, and SRN design problems than the other algorithms.

True and obtained Pareto front for the engineering design problem

The convergence of the MOGNDO algorithm in the mentioned design problems is nearly 100% similar to the true Pareto Front, as shown in this figure. Convergence is reasonable due to this, and coverage is exceptionally high and nearly uniform.

Constraint multi-objective test problem:

4.3.1 CONSTR

There are two constraints and two design variables in this problem, which has a convex Pareto front.

Srinivas and Deb [ 63 ] suggested a continuous Pareto optimal front for the next problem as follows:

Binh and Korn [ 64 ] were the first to propose this problem as follows:

Osyczka and Kundu [ 65 ] proposed five distinct regions for the OSY test issue. There are also six constraints and six design variables to consider as bellow:

Constraint multi-objective engineering problems:

4.3.5 Four-bar truss design problem

The 4-bar truss design problem [ 66 ], in which the structural volume ( \(f_1\) ) and displacement ( \(f_2\) ) of a 4-bar truss should be minimized, is a well-known problem in the structural optimization field. There are four design variables ( \(x_1\) - \(x_4\) ) connected to the cross-sectional area of members 1, 2, 3, and 4, as shown in the equations below:

4.3.6 Welded beam design problem

Ray and Liew [ 67 ] suggested four constraints for the welded beam design issue. In this issue, the fabrication cost ( \(f_1\) ) and beam deflection ( \(f_2\) ) of a welded beam should be minimized. The thickness of the weld ( \(x_1\) ), the length of the clamped bar ( \(x_2\) ), the height of the bar ( \(x_3\) ) and the thickness of the bar ( \(x_4\) ) are the four design variables.

4.3.7 Disk brake design problem [ 67 ]

Ray and Liew [ 67 ] proposed the disc brake design issue, which has multiple constraints. Stopping time ( \(f_1\) ) and brake mass ( \(f_2\) ) for a disc brake are the two objectives to be minimized. The inner radius of the disc ( \(x_1\) ), the outer radius of the disc ( \(x_2\) ), the engaging force ( \(x_3\) ), and the number of friction surfaces ( \(x_4\) ) as well as four constraints, are shown in the following equations.

4.3.8 Speed reducer design problem

The weight ( \(f_1\) ) and stress ( \(f_2\) ) of a speed reducer should be minimized in the speed reducer design issue, which is well-known in the field of mechanical engineering [ 66 , 68 ]. There are seven design variables: gear face width ( \(x_1\) ), teeth module ( \(x_2\) ), number of teeth of pinion ( \(x_3\) integer variable), distance between bearings 1 ( \(x_4\) ), distance between bearings 2 ( \(x_5\) ), diameter of shaft 1 ( \(x_6\) ), and diameter of shaft 2 ( \(x_7\) ) as well as eleven constraints.

The performance of MOGNDO, in comparison with MOPSO, MOGWO, and MOHHO, shows a high degree of competitiveness, particularly in the best Pareto front-of-rest problems. The outcomes of these algorithms are quantitatively compared using a similar set of efficiency metrics, and the corresponding results are displayed in Tables 13 , 14 , 15 and 16 .

Most of the constrained test function results, as depicted in Tables 13 and 14 , highlight the superior performance of MOGNDO over the other three algorithms. This dominance is further evident in the Generational Distance (GD) and Inverted Generational Distance (IGD) metrics, suggesting outstanding convergence. Table 14 GD performance measurement results distinctly indicate the superiority of the newly proposed algorithm over MOPSO, MOGWO, and MOHHO. Additionally, the boxplot of the IGD metric for engineering problems, displayed in Fig.  11 , verifies that MOGNDO outperformed the others in 75% of the engineering problems based on the IGD metric.

Boxplot of the statistical results (IGD) for engineering problems

According to Tables 15 and 16 , the statistical results for the MS and S metrics show that the proposed MOGNDO algorithm competes well with other algorithms. These tables list the average and standard deviation results for the MS and S performance metrics. The MOGNDO algorithm excels in terms of the MS performance metric. Furthermore, in some problems, the coverage of the proposed method on engineering test functions surpasses that of other algorithms. As evidenced by the results in these tables, MOGNDO can surpass other methods in identifying Pareto optimal fronts with distinct regions.

The results of examinations show that the MOGNDO algorithm has high convergence and coverage. The high convergence of this algorithm is inherited by its standard version and leader selection mechanism. The results showed that this method's merit is high coverage and is guaranteed by archive maintenance and leader feature selection function. Tables 13 , 14 , 15 , and 16 present the results of a Wilcoxon rank sum test, demonstrating without a shadow of a doubt that the MOGNDO is the most effective of the other tested methods.

4.4 Discussion of the CEC20 problem results

This section assesses MOGNDO, the proposed multi-objective approach, and its ability to address various issues at CEC-2020. A comparison is made between MOPSO, MOGWO, MOHHO, MSSA, MOALO, MOMVO, and MOAOS. Information about the MMO evaluation functions is provided in [ 62 ]. The MMO evaluation process encompasses linear, non-linear, convex, and concave problems.

Figure  12 compares the ideal Pareto fronts against those achieved for the CEC-2020 benchmark problems labeled M1 through M10. The graphical representation clearly shows the disparity between the theoretical optimal Pareto fronts and those derived through our algorithm is remarkably small. For each of the ten benchmark problems presented, the results obtained from our algorithm align closely with the true Pareto fronts, showcasing a consistency not observed in the results from alternative algorithms, which exhibit notable variations for each problem scenario.

True and obtained Pareto front for CEC-2020 problems

Table 17 elaborates on the statistical evaluation of the performance based on the GD metric. Here, the MOGNDO method stands out by achieving the best average GD values for a majority of the problems, precisely seven out of ten. The MOAOS follows as the second-best method, leading in mean values for three problems, while other evaluated methods did not produce notable results in this comparison. Furthermore, when examining the standard deviation of the GD performance, our method demonstrates a superior capability in pinpointing eight out of ten optimal solutions, outperforming MOAOS and MOHHO. The latter methods only manage to secure a commendable position in one instance for MOAOS, based on SD, underlining the robustness of our current approach in identifying solutions that closely adhere to the ideal outcomes.

Table 18 provides an overview of the IGD metric's statistical results, indicating the MOGNDO method's dominance in obtaining the best average IGD values across eight of the ten problems. When considering the standard deviation of these results, MOGNDO again excels by securing the best outcomes in six instances. MOAOS is recognized for its performance according to the standard deviation of IGD, securing the second rank, whereas other methods lag behind in average and standard deviation measures.

The assessment continues with Table  19 , which details the statistics for the S metric, highlighting that our method identifies the optimal average values in eight instances and excels in standard deviation measures for six instances. This demonstrates the method's effectiveness in ensuring diverse yet accurate solution sets. Other methods like MOPSO and MOHHO are noted for finding a couple and one optimal standard deviation value, respectively, but they do not match the overall efficacy of our approach.

Finally, Table  20 summarizes the performance evaluation based on the MS metric, where MOGNDO again leads by achieving the highest number of optimal average and standard deviation values across the benchmarks. This superiority is affirmed by results from the Wilcoxon rank sum test across Tables 17 , 18 , 19 and 20 , solidifying MOGNDO's position as significantly more efficient in navigating and solving the CEC-2020 benchmark problems compared to the competing methods.

Following is a summary of the experiment's findings:

As shown in Tables 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 and 20 , the experimental results show that the MOGNDO algorithm has excellent coverage and convergence capabilities. Both the archive and non-dominated sorting maintenance methods contribute to MOGNDO's high coverage, but high convergence is a privilege from the GNDO algorithm.

In the same way that other archive-based MO algorithms do, the MOGNDO makes use of the archive memory in order to store the non-dominated solutions discovered through the optimization process.

Compared to other MO-like algorithms, the MOGNDO's superior performance can be attributed to its use of the original GNDO update mechanism, allowing it to investigate a greater number of non-dominated solutions while maintaining a high convergence and coverage rate.

5 Conclusion and future works

This research developed an early multi-objective variant of MOGNDO, which incorporated an archive to store non-dominated solutions and a selection mechanism to identify the "best" solutions for the GNDO algorithm. The archive had a crucial role in preserving and updating the solutions, while the recommended leader selection feature allowed the MOGNDO algorithm to demonstrate excellent coverage and convergence simultaneously. The algorithm was evaluated using 25 diverse mathematical and engineering design problems, highlighting its effectiveness in achieving a balance between the exploration and exploitation stages. Metrics such as GD, IGD, S, and MS were employed to assess the dominance and performance of the proposed method.

Qualitative outcomes documenting the most effective Pareto optimal front identified in 30 runs were also documented to validate these results. The proposed algorithm was compared with highly esteemed algorithms such as MOPSO, MOGWO, and MOHHO to validate these results. This comparison demonstrated that our algorithm offered a highly competitive performance relative to the mentioned algorithms. The results and findings thus suggested that advantages are held by the proposed algorithm over existing multi-objective algorithms, positioning it as an appealing solution for multi-objective optimization problems.

Future research will involve the development of a binary variant of the MOGNDO algorithm to address a broader spectrum of complex, real-world problems. Another prospective contribution lies in the creation of a version of the proposed algorithm that considers multiple objectives simultaneously. Moreover, future work is encouraged to utilize MOGNDO for a range of other engineering design problems, such as truss structures, real-time applications, and the development of structural health assessment.

Data availability

The datasets used and/or analyzed during the current study available from the corresponding author on reasonable request.

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Acknowledgements

The authors gratefully acknowledge the financial support from the National Science Foundation I/U-CRC Center for Integration of Composites into Infrastructure (CICI) under grant #1916342. The authors express their sincere gratitude to the Inter-American Cement Federation (FICEM) for their invaluable support and assistance during the internship period.

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Nima Khodadadi

Department of Chemistry and Biochemistry, University of Arkansas, Fayetteville, AR, 72701, USA

Ehsan Khodadadi

Department of Computer Engineering, Urmia Branch, Islamic Azad University, Urmia, Iran

Benyamin Abdollahzadeh & Farhad Soleimanian Gharehchopogh

Department of Communications and Electronics, Delta Higher Institute of Engineering and Technology (DHIET), Mansoura, 35111, Egypt

El-Sayed M. EI-Kenawy

Department of Mechanical & Material Engineering, Florida International University, Miami, FL, USA

Pezhman Mardanpour

School of Water Conservancy and Hydropower, Hebei University of Engineering, Handan, 056038, Hebei, China

Weiguo Zhao

YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea

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Khodadadi, N., Khodadadi, E., Abdollahzadeh, B. et al. Multi-objective generalized normal distribution optimization: a novel algorithm for multi-objective problems. Cluster Comput (2024). https://doi.org/10.1007/s10586-024-04467-7

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Received : 29 November 2023

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DOI : https://doi.org/10.1007/s10586-024-04467-7

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