Identify Goal
Define Problem
Define Problem
Gather Data
Define Causes
Identify Options
Clarify Problem
Generate Ideas
Evaluate Options
Generate Ideas
Choose the Best Solution
Implement Solution
Select Solution
Take Action
MacLeod offers her own problem solving procedure, which echoes the above steps:
“1. Recognize the Problem: State what you see. Sometimes the problem is covert. 2. Identify: Get the facts — What exactly happened? What is the issue? 3. and 4. Explore and Connect: Dig deeper and encourage group members to relate their similar experiences. Now you're getting more into the feelings and background [of the situation], not just the facts. 5. Possible Solutions: Consider and brainstorm ideas for resolution. 6. Implement: Choose a solution and try it out — this could be role play and/or a discussion of how the solution would be put in place. 7. Evaluate: Revisit to see if the solution was successful or not.”
Many of these problem solving techniques can be used in concert with one another, or multiple can be appropriate for any given problem. It’s less about facilitating a perfect CPS session, and more about encouraging team members to continually think outside the box and push beyond personal boundaries that inhibit their innovative thinking. So, try out several methods, find those that resonate best with your team, and continue adopting new techniques and adapting your processes along the way.
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What are the 5 steps to problem-solving, 10 effective problem-solving strategies, what skills do efficient problem solvers have, how to improve your problem-solving skills.
Problems come in all shapes and sizes — from workplace conflict to budget cuts.
Creative problem-solving is one of the most in-demand skills in all roles and industries. It can boost an organization’s human capital and give it a competitive edge.
Problem-solving strategies are ways of approaching problems that can help you look beyond the obvious answers and find the best solution to your problem .
Let’s take a look at a five-step problem-solving process and how to combine it with proven problem-solving strategies. This will give you the tools and skills to solve even your most complex problems.
Good problem-solving is an essential part of the decision-making process . To see what a problem-solving process might look like in real life, let’s take a common problem for SaaS brands — decreasing customer churn rates.
To solve this problem, the company must first identify it. In this case, the problem is that the churn rate is too high.
Next, they need to identify the root causes of the problem. This could be anything from their customer service experience to their email marketing campaigns. If there are several problems, they will need a separate problem-solving process for each one.
Let’s say the problem is with email marketing — they’re not nurturing existing customers. Now that they’ve identified the problem, they can start using problem-solving strategies to look for solutions.
This might look like coming up with special offers, discounts, or bonuses for existing customers. They need to find ways to remind them to use their products and services while providing added value. This will encourage customers to keep paying their monthly subscriptions.
They might also want to add incentives, such as access to a premium service at no extra cost after 12 months of membership. They could publish blog posts that help their customers solve common problems and share them as an email newsletter.
The company should set targets and a time frame in which to achieve them. This will allow leaders to measure progress and identify which actions yield the best results.
Perhaps you’ve got a problem you need to tackle. Or maybe you want to be prepared the next time one arises. Either way, it’s a good idea to get familiar with the five steps of problem-solving.
Use this step-by-step problem-solving method with the strategies in the following section to find possible solutions to your problem.
The first step is to know which problem you need to solve. Then, you need to find the root cause of the problem.
The best course of action is to gather as much data as possible, speak to the people involved, and separate facts from opinions.
Once this is done, formulate a statement that describes the problem. Use rational persuasion to make sure your team agrees .
Identifying the problem allows you to see which steps need to be taken to solve it.
First, break the problem down into achievable blocks. Then, use strategic planning to set a time frame in which to solve the problem and establish a timeline for the completion of each stage.
At this stage, the aim isn’t to evaluate possible solutions but to generate as many ideas as possible.
Encourage your team to use creative thinking and be patient — the best solution may not be the first or most obvious one.
Use one or more of the different strategies in the following section to help come up with solutions — the more creative, the better.
Once you’ve generated potential solutions, narrow them down to a shortlist. Then, evaluate the options on your shortlist.
There are usually many factors to consider. So when evaluating a solution, ask yourself the following questions:
Once you’ve identified your solution and got buy-in from your team, it’s time to implement it.
But the work doesn’t stop there. You need to monitor your solution to see whether it actually solves your problem.
Request regular feedback from the team members involved and have a monitoring and evaluation plan in place to measure progress.
If the solution doesn’t achieve your desired results, start this step-by-step process again.
There are many different ways to approach problem-solving. Each is suitable for different types of problems.
The most appropriate problem-solving techniques will depend on your specific problem. You may need to experiment with several strategies before you find a workable solution.
Here are 10 effective problem-solving strategies for you to try:
Let’s break each of these down.
It might seem obvious, but if you’ve faced similar problems in the past, look back to what worked then. See if any of the solutions could apply to your current situation and, if so, replicate them.
The more people you enlist to help solve the problem, the more potential solutions you can come up with.
Use different brainstorming techniques to workshop potential solutions with your team. They’ll likely bring something you haven’t thought of to the table.
Working backward is a way to reverse engineer your problem. Imagine your problem has been solved, and make that the starting point.
Then, retrace your steps back to where you are now. This can help you see which course of action may be most effective.
This is a method that poses six questions based on Rudyard Kipling’s poem, “ I Keep Six Honest Serving Men .”
Answering these questions can help you identify possible solutions.
Sometimes it can be difficult to visualize all the components and moving parts of a problem and its solution. Drawing a diagram can help.
This technique is particularly helpful for solving process-related problems. For example, a product development team might want to decrease the time they take to fix bugs and create new iterations. Drawing the processes involved can help you see where improvements can be made.
A trial-and-error approach can be useful when you have several possible solutions and want to test them to see which one works best.
Finding the best solution to a problem is a process. Remember to take breaks and get enough rest . Sometimes, a walk around the block can bring inspiration, but you should sleep on it if possible.
A good night’s sleep helps us find creative solutions to problems. This is because when you sleep, your brain sorts through the day’s events and stores them as memories. This enables you to process your ideas at a subconscious level.
If possible, give yourself a few days to develop and analyze possible solutions. You may find you have greater clarity after sleeping on it. Your mind will also be fresh, so you’ll be able to make better decisions.
Getting input from a group of people can help you find solutions you may not have thought of on your own.
For solo entrepreneurs or freelancers, this might look like hiring a coach or mentor or joining a mastermind group.
For leaders , it might be consulting other members of the leadership team or working with a business coach .
It’s important to recognize you might not have all the skills, experience, or knowledge necessary to find a solution alone.
The Pareto principle — also known as the 80/20 rule — can help you identify possible root causes and potential solutions for your problems.
Although it’s not a mathematical law, it’s a principle found throughout many aspects of business and life. For example, 20% of the sales reps in a company might close 80% of the sales.
You may be able to narrow down the causes of your problem by applying the Pareto principle. This can also help you identify the most appropriate solutions.
Every situation is different, and the same solutions might not always work. But by keeping a record of successful problem-solving strategies, you can build up a solutions toolkit.
These solutions may be applicable to future problems. Even if not, they may save you some of the time and work needed to come up with a new solution.
Improving problem-solving skills is essential for professional development — both yours and your team’s. Here are some of the key skills of effective problem solvers:
And they see problems as opportunities. Everyone is born with problem-solving skills. But accessing these abilities depends on how we view problems. Effective problem-solvers see problems as opportunities to learn and improve.
Ready to work on your problem-solving abilities? Get started with these seven tips.
One of the best ways to improve your problem-solving skills is to learn from experts. Consider enrolling in organizational training , shadowing a mentor , or working with a coach .
Practice using your new problem-solving skills by applying them to smaller problems you might encounter in your daily life.
Alternatively, imagine problematic scenarios that might arise at work and use problem-solving strategies to find hypothetical solutions.
Often, the first solution you think of to solve a problem isn’t the most appropriate or effective.
Instead of thinking on the spot, give yourself time and use one or more of the problem-solving strategies above to activate your creative thinking.
Receiving feedback is always important for learning and growth. Your perception of your problem-solving skills may be different from that of your colleagues. They can provide insights that help you improve.
There are entire books written about problem-solving methodologies if you want to take a deep dive into the subject.
We recommend starting with “ Fixed — How to Perfect the Fine Art of Problem Solving ” by Amy E. Herman.
Tried-and-tested problem-solving techniques can be useful. However, they don’t teach you how to innovate and develop your own problem-solving approaches.
Sometimes, an unconventional approach can lead to the development of a brilliant new idea or strategy. So don’t be afraid to suggest your most “out there” ideas.
Do you have competitors who have already solved the problem you’re facing? Look at what they did, and work backward to solve your own problem.
For example, Netflix started in the 1990s as a DVD mail-rental company. Its main competitor at the time was Blockbuster.
But when streaming became the norm in the early 2000s, both companies faced a crisis. Netflix innovated, unveiling its streaming service in 2007.
If Blockbuster had followed Netflix’s example, it might have survived. Instead, it declared bankruptcy in 2010.
When facing a problem, it’s worth taking the time to find the right solution.
Otherwise, we risk either running away from our problems or headlong into solutions. When we do this, we might miss out on other, better options.
Use the problem-solving strategies outlined above to find innovative solutions to your business’ most perplexing problems.
If you’re ready to take problem-solving to the next level, request a demo with BetterUp . Our expert coaches specialize in helping teams develop and implement strategies that work.
Maximize your time and productivity with strategies from our expert coaches.
Elizabeth Perry is a Coach Community Manager at BetterUp. She uses strategic engagement strategies to cultivate a learning community across a global network of Coaches through in-person and virtual experiences, technology-enabled platforms, and strategic coaching industry partnerships. With over 3 years of coaching experience and a certification in transformative leadership and life coaching from Sofia University, Elizabeth leverages transpersonal psychology expertise to help coaches and clients gain awareness of their behavioral and thought patterns, discover their purpose and passions, and elevate their potential. She is a lifelong student of psychology, personal growth, and human potential as well as an ICF-certified ACC transpersonal life and leadership Coach.
5 problem-solving questions to prepare you for your next interview, what are metacognitive skills examples in everyday life, what is lateral thinking 7 techniques to encourage creative ideas, 31 examples of problem solving performance review phrases, leadership activities that encourage employee engagement, learn what process mapping is and how to create one (+ examples), how much do distractions cost 8 effects of lack of focus, can dreams help you solve problems 6 ways to try, similar articles, the pareto principle: how the 80/20 rule can help you do more with less, thinking outside the box: 8 ways to become a creative problem solver, 3 problem statement examples and steps to write your own, what is tacit knowledge, and how does it benefit the workplace, contingency planning: 4 steps to prepare for the unexpected, stay connected with betterup, get our newsletter, event invites, plus product insights and research..
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May 4, 2023 You’ve defined your problem, ensured stakeholders are aligned, and are ready to bring the right problem-solving approach and focus to the situation to find an optimal solution. But what is the right problem-solving approach? And what if there is no single ideal course of action? In our 2013 classic from the Quarterly , senior partner Olivier Leclerc highlights the value of taking a number of different approaches simultaneously to solve difficult problems. Read on to discover the five flexons, or problem-solving languages, that can be applied to the same problem to generate richer insights and more innovative solutions. Then check out more insights on problem-solving approaches, and dive into examples of pressing challenges organizations are contending with now.
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Author: Daniel Croft
Daniel Croft is an experienced continuous improvement manager with a Lean Six Sigma Black Belt and a Bachelor's degree in Business Management. With more than ten years of experience applying his skills across various industries, Daniel specializes in optimizing processes and improving efficiency. His approach combines practical experience with a deep understanding of business fundamentals to drive meaningful change.
Whether we realise it or not, problem solving skills are an important part of our daily lives. From resolving a minor annoyance at home to tackling complex business challenges at work, our ability to solve problems has a significant impact on our success and happiness. However, not everyone is naturally gifted at problem-solving, and even those who are can always improve their skills. In this blog post, we will go over the art of effective problem-solving step by step.
You will learn how to define a problem, gather information, assess alternatives, and implement a solution, all while honing your critical thinking and creative problem-solving skills. Whether you’re a seasoned problem solver or just getting started, this guide will arm you with the knowledge and tools you need to face any challenge with confidence. So let’s get started!
Individuals and organisations can use a variety of problem-solving methodologies to address complex challenges. 8D and A3 problem solving techniques are two popular methodologies in the Lean Six Sigma framework.
Methodology of 8D (Eight Discipline) Problem Solving:
The 8D problem solving methodology is a systematic, team-based approach to problem solving. It is a method that guides a team through eight distinct steps to solve a problem in a systematic and comprehensive manner.
The 8D process consists of the following steps:
Download the 8D Problem Solving Template
The A3 problem solving technique is a visual, team-based problem-solving approach that is frequently used in Lean Six Sigma projects. The A3 report is a one-page document that clearly and concisely outlines the problem, root cause analysis, and proposed solution.
The A3 problem-solving procedure consists of the following steps:
Subsequently, in the Lean Six Sigma framework, the 8D and A3 problem solving methodologies are two popular approaches to problem solving. Both methodologies provide a structured, team-based problem-solving approach that guides individuals through a comprehensive and systematic process of identifying, analysing, and resolving problems in an effective and efficient manner.
The definition of the problem is the first step in effective problem solving. This may appear to be a simple task, but it is actually quite difficult. This is because problems are frequently complex and multi-layered, making it easy to confuse symptoms with the underlying cause. To avoid this pitfall, it is critical to thoroughly understand the problem.
To begin, ask yourself some clarifying questions:
Answering these questions will assist you in determining the scope of the problem. However, simply describing the problem is not always sufficient; you must also identify the root cause. The root cause is the underlying cause of the problem and is usually the key to resolving it permanently.
Try asking “why” questions to find the root cause:
By repeatedly asking “ why ,” you’ll eventually get to the bottom of the problem. This is an important step in the problem-solving process because it ensures that you’re dealing with the root cause rather than just the symptoms.
Once you have a firm grasp on the issue, it is time to divide it into smaller, more manageable chunks. This makes tackling the problem easier and reduces the risk of becoming overwhelmed. For example, if you’re attempting to solve a complex business problem, you might divide it into smaller components like market research, product development, and sales strategies.
To summarise step 1, defining the problem is an important first step in effective problem-solving. You will be able to identify the root cause and break it down into manageable parts if you take the time to thoroughly understand the problem. This will prepare you for the next step in the problem-solving process, which is gathering information and brainstorming ideas.
Gathering information and brainstorming ideas is the next step in effective problem solving. This entails researching the problem and relevant information, collaborating with others, and coming up with a variety of potential solutions. This increases your chances of finding the best solution to the problem.
Begin by researching the problem and relevant information. This could include reading articles, conducting surveys, or consulting with experts. The goal is to collect as much information as possible in order to better understand the problem and possible solutions.
Next, work with others to gather a variety of perspectives. Brainstorming with others can be an excellent way to come up with new and creative ideas. Encourage everyone to share their thoughts and ideas when working in a group, and make an effort to actively listen to what others have to say. Be open to new and unconventional ideas and resist the urge to dismiss them too quickly.
Finally, use brainstorming to generate a wide range of potential solutions. This is the place where you can let your imagination run wild. At this stage, don’t worry about the feasibility or practicality of the solutions; instead, focus on generating as many ideas as possible. Write down everything that comes to mind, no matter how ridiculous or unusual it may appear. This can be done individually or in groups.
Once you’ve compiled a list of potential solutions, it’s time to assess them and select the best one. This is the next step in the problem-solving process, which we’ll go over in greater detail in the following section.
Once you’ve compiled a list of potential solutions, it’s time to assess them and select the best one. This is the third step in effective problem solving, and it entails weighing the advantages and disadvantages of each solution, considering their feasibility and practicability, and selecting the solution that is most likely to solve the problem effectively.
To begin, weigh the advantages and disadvantages of each solution. This will assist you in determining the potential outcomes of each solution and deciding which is the best option. For example, a quick and easy solution may not be the most effective in the long run, whereas a more complex and time-consuming solution may be more effective in solving the problem in the long run.
Consider each solution’s feasibility and practicability. Consider the following:
You’ll be able to tell which solutions are likely to succeed and which aren’t by assessing their feasibility and practicability.
Finally, choose the solution that is most likely to effectively solve the problem. This solution should be based on the criteria you’ve established, such as the advantages and disadvantages of each solution, their feasibility and practicability, and your overall goals.
It is critical to remember that there is no one-size-fits-all solution to problems. What is effective for one person or situation may not be effective for another. This is why it is critical to consider a wide range of solutions and evaluate each one based on its ability to effectively solve the problem.
When you’ve decided on the best solution, it’s time to put it into action. The fourth and final step in effective problem solving is to put the solution into action, monitor its progress, and make any necessary adjustments.
To begin, implement the solution. This may entail delegating tasks, developing a strategy, and allocating resources. Ascertain that everyone involved understands their role and responsibilities in the solution’s implementation.
Next, keep an eye on the solution’s progress. This may entail scheduling regular check-ins, tracking metrics, and soliciting feedback from others. You will be able to identify any potential roadblocks and make any necessary adjustments in a timely manner if you monitor the progress of the solution.
Finally, make any necessary modifications to the solution. This could entail changing the solution, altering the plan of action, or delegating different tasks. Be willing to make changes if they will improve the solution or help it solve the problem more effectively.
It’s important to remember that problem solving is an iterative process, and there may be times when you need to start from scratch. This is especially true if the initial solution does not effectively solve the problem. In these situations, it’s critical to be adaptable and flexible and to keep trying new solutions until you find the one that works best.
To summarise, effective problem solving is a critical skill that can assist individuals and organisations in overcoming challenges and achieving their objectives. Effective problem solving consists of four key steps: defining the problem, generating potential solutions, evaluating alternatives and selecting the best solution, and implementing the solution.
You can increase your chances of success in problem solving by following these steps and considering factors such as the pros and cons of each solution, their feasibility and practicability, and making any necessary adjustments. Furthermore, keep in mind that problem solving is an iterative process, and there may be times when you need to go back to the beginning and restart. Maintain your adaptability and try new solutions until you find the one that works best for you.
Daniel Croft is a seasoned continuous improvement manager with a Black Belt in Lean Six Sigma. With over 10 years of real-world application experience across diverse sectors, Daniel has a passion for optimizing processes and fostering a culture of efficiency. He's not just a practitioner but also an avid learner, constantly seeking to expand his knowledge. Outside of his professional life, Daniel has a keen Investing, statistics and knowledge-sharing, which led him to create the website www.learnleansigma.com, a platform dedicated to Lean Six Sigma and process improvement insights.
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Mckinsey approach to problem solving, a guide to the 7-step mckinsey problem solving process.
McKinsey and Company is recognized for its rigorous approach to problem solving. They train their consultants on their seven-step process that anyone can learn.
This resource guides you through that process, largely informed by the McKinsey Staff Paper 66. It also includes a PowerPoint Toolkit with slide templates of each step of the process that you can download and customize for your own use.
Overview of the mckinsey approach to problem solving, problem solving process, problem definition.
Structure the problem, hypothesis trees, issue trees, analyses and workplan, synthesize findings, craft recommendations, communicate, distinctiveness practices, harness the power of collaboration, sources and additional reading, request the mckinsey approach to problem solving.
Problem solving — finding the optimal solution to a given business opportunity or challenge — is the very heart of how consultants create client impact, and considered the most important skill for success at McKinsey.
The characteristic “McKinsey method” of problem solving is a structured, inductive approach that can be used to solve any problem. Using this standardized process saves us from reinventing the problem-solving wheel, and allows for greater focus on distinctiveness in the solution. Every new McKinsey associate must learn this method on his or her first day with the firm.
There are four fundamental disciplines of the McKinsey method:
A thorough understanding and crisp definition of the problem.
Structuring the problem, prioritizing the issues, planning analyses, conducting analyses, synthesizing findings, and developing recommendations.
Constructing alternative perspectives; identifying relationships; distilling the essence of an issue, analysis, or recommendation; and staying ahead of others in the problem-solving process.
Actively seeking out client, customer, and supplier perspectives, as well as internal and external expert insight and knowledge.
Once the problem has been defined, the problem-solving process proceeds with a series of steps:
Not all problems require strict adherence to the process. Some steps may be truncated, such as when specific knowledge or analogies from other industries make it possible to construct hypotheses and associated workplans earlier than their formal place in the process. Nonetheless, it remains important to be capable of executing every step in the basic process.
When confronted with a new and complex problem, this process establishes a path to defining and disaggregating the problem in a way that will allow the team to move to a solution. The process also ensures nothing is missed and concentrates efforts on the highest-impact areas. Adhering to the process gives the client clear steps to follow, building confidence, credibility, and long-term capability.
The most important step in your entire project is to first carefully define the problem. The problem definition will serve the guide all of the team’s work, so it is critical to ensure that all key stakeholders agree that it is the right problem to be solving.
The problem definition will serve the guide all of the team’s work, so it is critical to ensure that all key stakeholders agree that it is the right problem to be solving.
There are often dozens of issues that a team could focus on, and it is often not obvious how to define the problem.
In any real-life situation, there are many possible problem statements. Your choice of problem statement will serve to constrain the range of possible solutions.
Constraints can be a good thing (e.g., limit solutions to actions within the available budget.) And constraints can be a bad thing (e.g., eliminating the possibility of creative ideas.) So choose wisely.
The problem statement may ignore many issues to focus on the priority that should be addressed. The problem statement should be phrased as a question, such that the answer will be the solution.
A mother, a father, and their two teenage children have all arrived home on a Friday at 6 p.m. The family has not prepared dinner for Friday evening. The daughter has lacrosse practice on Saturday and an essay to write for English class due on Monday. The son has theatre rehearsal on both Saturday and Sunday and will need one parent to drive him to the high school both days, though he can get a ride home with a friend.
The family dog, a poodle, must be taken to the groomer on Saturday morning. The mother will need to spend time this weekend working on assignments for her finance class she is taking as part of her Executive MBA. The father plans to go on a 100-mile bike ride, which he can do either Saturday or Sunday. The family has two cars, but one is at the body shop. They are trying to save money to pay for an addition to their house.
The problem definition should not be vague, without clear measures of success. Rather, it should be a SMART definition:
Given one set of facts, it is possible to come up with many possible problem statements. The choice of problem statement constrains the range of possible solutions.
Before starting to solve the problem, the family first needs to agree on what problem they want to solve.
This is a helpful tool to use to clearly define the problem. There are often dozens of issues that a team could focus on, and it is often not obvious how to define the problem. In any real-life situation, there are many possible problem statements. Your choice of problem statement will serve to constrain the range of possible solutions.
In completing the Problem Statement Worksheet, you are prompted to define the key stakeholders.
As you become involved in the problem-solving process, you should expand the question of key stakeholders to include what the team wants from them and what they want from the team, their values and motivations (helpful and unhelpful), and the communications mechanisms that will be most effective for each of them.
Using the Stakeholder Analysis Worksheet allows you to comprehensively identify:
The two most helpful techniques for rigorously structuring any problem are hypothesis trees and issue trees. Each of these techniques disaggregates the primary question into a cascade of issues or hypotheses that, when addressed, will together answer the primary question.
A hypothesis tree might break down the same question into two or more hypotheses.
The aim at this stage is to structure the problem into discrete, mutually exclusive pieces that are small enough to yield to analysis and that, taken together, are collectively exhaustive.
Articulating the problem as hypotheses, rather than issues, is the preferred approach because it leads to a more focused analysis of the problem. Questions to ask include:
Quickly developing a powerful hypothesis tree enables us to develop solutions more rapidly that will have real impact. This can sometimes seem premature to clients, who might find the “solution” reached too quickly and want to see the analysis behind it.
Take care to explain the approach (most important, that a hypothesis is not an answer) and its benefits (that a good hypothesis is the basis of a proven means of successful problem solving and avoids “boiling the ocean”).
Problem Statement: How can Alpha increase EBITDA by $13M (to $50M) by 2025?
The hypotheses might be:
These hypotheses will be further disaggregated into subsidiary hypotheses at the next level of the tree.
Often, the team has insufficient knowledge to build a complete hypothesis tree at the start of an engagement. In these cases, it is best to begin by structuring the problem using an issue tree.
An issue tree is best set out as a series of open questions in sentence form. For example, “How can the client minimize its tax burden?” is more useful than “Tax.” Open questions – those that begin with what, how, or why– produce deeper insights than closed ones. In some cases, an issue tree can be sharpened by toggling between issue and hypothesis – working forward from an issue to identify the hypothesis, and back from the hypothesis to sharpen the relevant open question.
Once the problem has been structured, the next step is to prioritize the issues or hypotheses on which the team will focus its work. When prioritizing, it is common to use a two-by-two matrix – e.g., a matrix featuring “impact” and “ease of impact” as the two axes.
Applying some of these prioritization criteria will knock out portions of the issue tree altogether. Consider testing the issues against them all, albeit quickly, to help drive the prioritization process.
Once the criteria are defined, prioritizing should be straightforward: Simply map the issues to the framework and focus on those that score highest against the criteria.
As the team conducts analysis and learns more about the problem and the potential solution, make sure to revisit the prioritization matrix so as to remain focused on the highest-priority issues.
The issues might be:
Each of these issues is then further broken down into deeper insights to solutions.
If the prioritization has been carried out effectively, the team will have clarified the key issues or hypotheses that must be subjected to analysis. The aim of these analyses is to prove the hypotheses true or false, or to develop useful perspectives on each key issue. Now the task is to design an effective and efficient workplan for conducting the analyses.
Transforming the prioritized problem structure into a workplan involves two main tasks:
A good workplan will detail the following for each issue or hypothesis: analyses, end products, sources, and timing and responsibility. Developing the workplan takes time; doing it well requires working through the definition of each element of the workplan in a rigorous and methodical fashion.
It’s useful to match the workplan to three horizons:
The detail in the workplan will typically be greater for the near term (the next week) than for the long term (the study horizon), especially early in a new engagement when considerable ambiguity about the end state remains.
Here are three different templates for a workplan:
This is the most difficult element of the problem-solving process. After a period of being immersed in the details, it is crucial to step back and distinguish the important from the merely interesting. Distinctive problem solvers seek the essence of the story that will underpin a crisp recommendation for action.
Although synthesis appears, formally speaking, as the penultimate step in the process, it should happen throughout. Ideally, after you have made almost any analytical progress, you should attempt to articulate the “Day 1” or “Week 1” answer. Continue to synthesize as you go along. This will remind the team of the question you are trying to answer, assist prioritization, highlight the logical links of the emerging solution, and ensure that you have a story ready to articulate at all times during the study.
McKinsey’s primary tool for synthesizing is the pyramid principle. Essentially, this principle asserts that every synthesis should explain a single concept, per the “governing thought.” The supporting ideas in the synthesis form a thought hierarchy proceeding in a logical structure from the most detailed facts to the governing thought, ruthlessly excluding the interesting but irrelevant.
While this hierarchy can be laid out as a tree (like with issue and hypothesis trees), the best problem solvers capture it by creating dot-dash storylines — the Pyramid Structure for Grouping Arguments.
It is at this point that we address the client’s questions: “What do I do, and how do I do it?” This means not offering actionable recommendations, along with a plan and client commitment for implementation.
The essence of this step is to translate the overall solution into the actions required to deliver sustained impact. A pragmatic action plan should include:
Crucial questions to ask as you build recommendations for organizational change are:
Once the recommendations have been crafted in the problem-solving process, it’s vital to effectively communicate those findings and recommendations.
An executive summary is a great slide to use for this. See more on executive summary slides, including 30 templates, at our Ultimate Guide to Executive Summary Slides .
Great problem solvers identify unique disruptions and discontinuities, novel insights, and step-out opportunities that lead to truly distinctive impact. This is done by applying a number of practices throughout the problem-solving process to help develop these insights.
Identifying alternative ways of looking at the problem expands the range of possibilities, opens you up to innovative ideas, and allows you to formulate more powerful hypotheses. Questions that help here include:
Strong problem solvers discern connections and recognize patterns in two different ways:
Cutting through complexity to identify the heart of the problem and its solution is a critical skill.
Without getting ahead of the client, you cannot be distinctive. Paradoxically, to get ahead – and stay ahead – it is often necessary to step back from the problem to validate or revalidate the approach and the solution.
No matter how skilled, knowledgeable, or experienced you are, you will never create the most distinctive solution on your own. The best problem solvers know how to leverage the power of their team, clients, the Firm, and outside parties. Seeking the right expertise at the right time, and leveraging it in the right way, are ultimately how we bring distinctiveness to our work, how we maximize efficiency, and how we learn.
When solving a problem, it is important to ask, “Have I accessed all the sources of insight that are available?” Here are the sources you should consider:
The key here is to think open, not closed. Opening up to varied sources of data and perspectives furthers our mission to develop truly innovative and distinctive solutions for our clients.
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5 steps (and 4 techniques) for effective problem solving.
Problem solving is the process of reviewing every element of an issue so you can get to a solution or fix it. Problem solving steps cover multiple aspects of a problem that you can bring together to find a solution. Whether that’s in a group collaboratively or independently, the process remains the same, but the approach and the steps can differ.
To find a problem solving approach that works for you, your team, or your company, you have to take into consideration the environment you’re in and the personalities around you.
Knowing the characters in the room will help you decide on the best approach to try and ultimately get to the best solution.
5 problem solving steps, 4 techniques to encourage problem solving, the bottom line.
No matter what the problem is, to solve it, you nearly always have to follow these problem solving steps. Missing any of these steps can cause the problem to either resurface or the solution to not be implemented correctly.
Once you know these steps, you can then get creative with the approach you take to find the solutions you need.
You must define and understand the problem before you start, whether you’re solving it independently or as a group. If you don’t have a single view of what the problem is, you could be fixing something that doesn’t need fixing, or you’ll fix the wrong problem.
Spend time elaborating on the problem, write it down, and discuss everything, so you’re clear on why the problem is occurring and who it is impacting.
Once you have clarity on the problem, you then need to start thinking about every possible solution . This is where you go big and broad, as you want to come up with as many alternative solutions as possible. Don’t just take the first idea; build out as many as you can through active listening, as the more you create, the more likely you’ll find a solution that has the best impact on the team.
Whichever solution you pick individually or as a team, make sure you think about the impact on others if you implement this solution. Ask questions like:
At this stage of problem solving, be prepared for feedback, and plan for this. When you roll out the solution, request feedback on the success of the change made.
Making a change shouldn’t be a one time action. Spend time reviewing the results of the change to make sure it’s made the required impact and met the desired outcomes.
Make changes where needed so you can further improve the solution implemented.
Each individual or team is going to have different needs and may need a different technique to encourage each of the problem solving steps. Try one of these to stimulate the process.
The 1-2-4-All is a good problem solving approach that can work no matter how large the group is. Everyone is involved, and you can generate a vast amount of ideas quickly.
Ideas and solutions are discussed and organized rapidly, and what is great about this approach is the attendees own their ideas, so when it comes to implementing the solutions, you don’t have more work to gain buy-in.
As a facilitator, you first need to present the group with a question explaining the problem or situation. For example, “What actions or ideas would you recommend to solve the company’s lack of quiet working areas?”
With the question clear for all to see, the group then spends 5 minutes to reflect on the question individually. They can jot down their thoughts and ideas on Post-Its.
Now ask the participants to find one or two other people to discuss their ideas and thoughts with. Ask the group to move around to find a partner so they can mix with new people.
Ask the pairs to spend 5 minutes discussing their shared ideas and thoughts.
Next, put the group into groups of two or three pairs to make groups of 4-6. Each group shouldn’t be larger than six as the chances of everyone being able to speak reduces.
Ask the group to discuss one interesting idea they’ve heard in previous rounds, and each group member shares one each.
The group then needs to pick their preferred solution to the problem. This doesn’t have to be voted on, just one that resonated most with the group.
Then ask for three actions that could be taken to implement this change.
Bring everyone back together as a group and ask open questions like “What is the one thing you discussed that stood out for you?” or “Is there something you now see differently following these discussions?”
By the end of the session, you’ll have multiple approaches to solve the problem, and the whole group will have contributed to the future solutions and improvements.
The Lightning Decision Jam is a great way to solve problems collaboratively and agree on one solution or experiment you want to try straight away. It encourages team decision making, but at the same time, the individual can get their ideas and feedback across. [1]
If, as a team, you have a particular area you want to improve upon, like the office environment, for example, this approach is perfect to incorporate in the problem solving steps.
The approach follows a simple loop.
Make a Note – Stick It on The Wall – Vote – Prioritize
Using sticky notes, the technique identifies major problems, encourages solutions, and opens the group up for discussion. It allows each team member to play an active role in identifying both problems and ways to solve them.
Mind mapping is a fantastic visual thinking tool that allows you to bring problems to life by building out the connections and visualizing the relationships that make up the problem.
You can use a mind map to quickly expand upon the problem and give yourself the full picture of the causes of the problem, as well as solutions [2] .
The goal of a mind map is to simplify the problem and link the causes and solutions to the problem.
To create a mind map, you must first create the central topic (level 1). In this case, that’s the problem.
Next, create the linked topics (level 2) that you place around and connect to the main central topic with a simple line.
If the central topic is “The client is always changing their mind at the last minute,” then you could have linked topics like:
Adding these linking topics allows you to start building out the main causes of the problem as you can begin to see the full picture of what you need to fix. Once you’re happy that you’ve covered the breadth of the problem and its issues, you can start to ideate on how you’re going to fix it with the problem solving steps.
Now, start adding subtopics (level 3) linking to each of the level 2 topics. This is where you can start to go big on solutions and ideas to help fix the problem.
For each of the linked topics (level 2), start to think about how you can prevent them, mitigate them, or improve them. As this is just ideas on paper, write down anything that comes to mind, even if you think the client will never agree to it!
The more you write down, the more ideas you’ll have until you find one or two that could solve the main problem.
Once you run out of ideas, take a step back and highlight your favorite solutions to take forward and implement.
The five why’s can sound a little controversial, and you shouldn’t try this without prepping the team beforehand.
Asking “why” is a great way to go deep into the root of the problem to make the individual or team really think about the cause. When a problem arises, we often have preconceived ideas about why this problem has occurred, which is usually based on our experiences or beliefs.
Start with describing the problem, and then the facilitator can ask “Why?” fives time or more until you get to the root of the problem. It’s tough at first to keep being asked why, but it’s also satisfying when you get to the root of the problem [3] .
As a facilitator, although the basic approach is to ask why, you need to be careful not to guide the participant down a single route.
To help with this, you can use a mind map with the problem at the center. Then ask a why question that will result in multiple secondary topics around the central problem. Having this visual representation of the problem helps you build out more useful why questions around it.
Once you get to the root of the problem, don’t forget to be clear in the actions to put a fix in place to resolve it.
Learn more about how to use the five why’s here .
To fix a problem, you must first be in a position where you fully understand it. There are many ways to misinterpret a problem, and the best way to understand them is through conversation with the team or individuals who are experiencing it.
Once you’re aligned, you can then begin to work on the solutions that will have the greatest impact through effective problem solving steps.
For the more significant or difficult problems to solve, it’s often advisable to break the solution up into smaller actions or improvements.
Trial these improvements in short iterations, and then continue the conversations to review and improve the solution. Implementing all of these steps will help you root out the problems and find useful solutions each time.
[1] | ^ | UX Planet: |
[2] | ^ | Focus: |
[3] | ^ | Expert Program Management: |
Explore the time flow system.
To bring the best ideas forward, teams must build psychological safety.
Teams today aren’t just asked to execute tasks: They’re called upon to solve problems. You’d think that many brains working together would mean better solutions, but the reality is that too often problem-solving teams fall victim to inefficiency, conflict, and cautious conclusions. The two charts below will help your team think about how to collaborate better and come up with the best solutions for the thorniest challenges.
The question "What is your approach to problem-solving?" is a commonly asked question in job interviews. This is because employers want to know how you handle challenges and overcome obstacles, as problem-solving is an essential skill in any work environment. They need someone who can think critically and come up with effective solutions to workplace problems.
Employers also want to understand your problem-solving process to see if it aligns with the company's culture and values. They may ask about your approach to problem-solving to see if you are a strategic thinker who can prioritize tasks and make sound decisions under pressure.
When answering this question, it's essential to understand that the interviewer is looking for specific details about your problem-solving approach. Here are some tips to help you structure your answer:
Remember to use specific examples, demonstrate your problem-solving skills in the best light possible, and share outcomes to show initiative and showcase your ability to effectively address problems.
1. bad answer:.
My approach to problem-solving is to just come up with a quick solution and see if it works. If it doesn't, I try something else until I find something that works.
Why it's bad: This answer shows a lack of preparation and planning. It doesn't demonstrate any critical thinking or analytical skills that a potential employer would value.
My approach to problem-solving is to first assess the situation and gather all the information I can. Then, I break down the problem into smaller parts and identify any potential obstacles or challenges. Once I have a clear understanding of the issue, I brainstorm a range of possible solutions, evaluate each option, and select the best course of action. Finally, I implement and monitor the chosen solution to ensure its effectiveness and make adjustments if necessary.
Why it's good: This answer shows a structured and methodical approach to problem-solving. The potential employer will appreciate the candidate's attention to detail and ability to work through complex problems.
My approach to problem-solving is to involve my team members and stakeholders. I find that collaborating with others brings in different perspectives that I may not have thought of on my own. I encourage open communication and brainstorming sessions where everyone is free to contribute their ideas. Then, we evaluate each idea and select the best one together as a team. This helps create a sense of ownership and buy-in from everyone involved.
Why it's good: This answer shows strong leadership and teamwork skills. The potential employer will appreciate the candidate's ability to work well with others and successfully navigate group dynamics to find the best solution.
My approach to problem-solving is to stay calm and reflective. I take a moment to step back, assess the situation objectively, and then determine what actions to take. I try to look at the problem from different angles to find the root cause and develop a strategy to resolve it.
Why it's okay: This answer shows a level-headedness in managing stressful situations and a willingness to think outside the box. However, it could benefit from more specific examples that demonstrate critical thinking and problem-solving skills.
The six main barriers against problem-solving and how to overcome them.
Challenges. Disputes. Dilemmas. Obstacles. Troubles. Issues. Headaches.
Business people discussing the plan at office photo credit: Getty
There are more than thirty different ways to call all those unpleasant and stressful situations which prevent us from directly achieving what we want to achieve. Life is full of them. This is why the ability to solve problems in an effective and timely manner without any impediments is considered to be one of the most key and critical skill for resolutive and successful leaders. But is not just leaders or top managers facing the way forward. According to a Harvard Bussiness Review survey , people's skills depends on their level on the organization and their particular job and activities. However, when coming to problem-solving, there is a remarkable consistency about the importance of it within all the different measured organization levels.
There are small problems and big problems. Those ones that we laugh about and those that take our sleep away. Problems that affect just us or our whole company. Issues that need to be resolved proactively and others that require us to wait and observe. There is a special kind of problem for every day of our lives, but all of them responds to a common denominator: addressing them adequately. It is our ability to do so what makes the difference between success and failure.
Problems manifest themselves in many different ways. As inconsistent results or performance. As a failure toward standards. As discrepancies between expectations and reality. The uniqueness of every different issue makes the need for an also adapted and individualized solution. This is why finding the way forward can be sometimes tricky. There are many reasons why it is difficult to find a solution to a problem, but you can find the six more common causes and the way to overcome them!
1. Difficulty to recognize that there is a problem
Nobody likes to be wrong. “Cognitive dissonance is what we feel when the self-concept — I’m smart, I’m kind, I’m convinced this belief is true — is threatened by evidence that we did something that wasn’t smart, that we did something that hurt another person, that the belief isn’t true,” explains Carol Tavris.
Problems and mistakes are not easy to digest. To reduce this cognitive dissonance, we need to modify our self-concept or well deny the evidence. Many times is just easier to simply turn our back to an issue and blindly keep going. But the only way to end it up to satisfactory is to make an effort to recognize and accept the evidence. Being wrong is human and until the problem is not acknowledged solutions will never materialize. To fully accept that something is not going the way it should, the easiest way is to focus on the benefits of new approaches and always remain non-judgemental about the causes. Sometimes we may be are afraid of the costs in terms of resources, time and physical or mental efforts that working for the solution may eventually bring. We may need then to project ourselves in all the fatalistic consequences that we will finally encounter in case we continue sunk in the problem. Sometimes we really need to visualize the disaster before accepting a need for change.
2. Huge size problem
Yes! We clearly know that something is going wrong. But the issue is so big that there is no way we can try to solve it without blowing our life into pieces. Fair enough. Some problems are so big that it is not possible to find at once a solution for them. But we can always break them into smaller pieces and visualize the different steps and actions that we could eventually undertake to get to our final goal. Make sure you do not lose sight of the original problem!
3. Poorly framed problem
Without the proper framing, there is no certainty about the appropriate focus on the right problem. Asking the relevant questions is a crucial aspect to it. Does your frame of the problem capture its real essence? Do you have all the background information needed? Can you rephrase the problem and it is still understandable? Have you explored it from different perspectives? Are different people able to understand your frame for the problem correctly? Answering to the right problem in the right way depends 95% on the correct framing of it!
'If I have an hour to solve a problem, I'd spend 55 minutes thinking about the problem and 5 minutes thinking about the solution' (Albert Einstein)
4. Lack of respect for rhythms
There is always a right time for preparation, a right time for action and a right time for patience. Respecting the rhythms of a problem is directly link to the success of the solution. Acting too quickly or waiting too long can have real counterproductive effects. There is a need for enough time to gather information and understand all the different upshots of a planned solution. A balance of action is crucial to avoid both eagerness and laxity. Waiting for the proper time to take action is sometimes the most complicated part of it.
5. Lack of problem'roots identification
It is quite often that we feel something is not going the way it should without clearly identifying what the exact problematic issue is. We are able to frame all the negative effects and consequences, but we do not really get to appropriately verbalized what the problem is all together. Consequently, we tend to fix the symptoms without getting to the real causes. It is as common as dangerous and not sustainable for problem-solving.
Make sure that you have a clear picture of what are the roots of the problem and what are just the manifestations or ramifications of it. Double loop always to make sure that you are not patching over the symptoms but getting to the heart of the matter.
6. Failure to identify the involved parts
Take time to figure out and consult every simple part involved in the problem as well as affected by the possible solution. Problems and solutions always have at the core human needs and impacts. Failing to identify and take into consideration the human factor in the problem-solving process will prevent the whole mechanism from reaching the desired final goal.
'We always hope for the easy fix: the one simple change that will erase a problem in a stroke. But few things in life work this way. Instead, success requires making a hundred small steps go right - one after the other, no slipups, no goofs, everyone pitching in.' ( Atul Gawande)
Resource library.
Problem-based learning (PBL) is a student-centered approach in which students learn about a subject by working in groups to solve an open-ended problem. This problem is what drives the motivation and the learning.
Nilson (2010) lists the following learning outcomes that are associated with PBL. A well-designed PBL project provides students with the opportunity to develop skills related to:
Rather than teaching relevant material and subsequently having students apply the knowledge to solve problems, the problem is presented first. PBL assignments can be short, or they can be more involved and take a whole semester. PBL is often group-oriented, so it is beneficial to set aside classroom time to prepare students to work in groups and to allow them to engage in their PBL project.
Students generally must:
Nilson, L. B. (2010). Teaching at its best: A research-based resource for college instructors (2nd ed.). San Francisco, CA: Jossey-Bass.
Recently various optimization problems, such as Mixed Integer Linear Programming Problems (MILPs), have undergone comprehensive investigation, leveraging the capabilities of machine learning. This work focuses on learning-based solutions for efficiently solving the Quadratic Assignment Problem (QAPs), which stands as a formidable challenge in combinatorial optimization. While many instances of simpler problems admit fully polynomial-time approximate solution (FPTAS), QAP is shown to be strongly NP-hard. Even finding a FPTAS for QAP is difficult, in the sense that the existence of a FPTAS implies $P = NP$. Current research on QAPs suffer from limited scale and computational inefficiency. To attack the aforementioned issues, we here propose the first solution of its kind for QAP in the learn-to-improve category. This work encodes facility and location nodes separately, instead of forming computationally intensive association graphs prevalent in current approaches. This design choice enables scalability to larger problem sizes. Furthermore, a \textbf{S}olution \textbf{AW}are \textbf{T}ransformer (SAWT) architecture integrates the incumbent solution matrix with the attention score to effectively capture higher-order information of the QAPs. Our model's effectiveness is validated through extensive experiments on self-generated QAP instances of varying sizes and the QAPLIB benchmark.
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Brainstorm options to solve the problem. Select an option. Create an implementation plan. Execute the plan and monitor the results. Evaluate the solution. Read more: Effective Problem Solving Steps in the Workplace. 2. Collaborative. This approach involves including multiple people in the problem-solving process.
Finding a suitable solution for issues can be accomplished by following the basic four-step problem-solving process and methodology outlined below. Step. Characteristics. 1. Define the problem. Differentiate fact from opinion. Specify underlying causes. Consult each faction involved for information. State the problem specifically.
Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue. The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything ...
In insight problem-solving, the cognitive processes that help you solve a problem happen outside your conscious awareness. 4. Working backward. Working backward is a problem-solving approach often ...
The problem-solving process typically includes the following steps: Identify the issue: Recognize the problem that needs to be solved. Analyze the situation: Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present. Generate potential solutions: Brainstorm a list of possible ...
The McKinsey guide to problem solving. Become a better problem solver with insights and advice from leaders around the world on topics including developing a problem-solving mindset, solving problems in uncertain times, problem solving with AI, and much more. Become a better problem solver with insights and advice from leaders around the world ...
Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team. The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are ...
Problem-solving involves taking certain steps and using psychological strategies. Learn problem-solving techniques and how to overcome obstacles to solving problems. ... If you have time, you can take advantage of the algorithm approach to problem-solving by sitting down and making a flow chart of each potential solution, its consequences, and ...
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 ...
Creative problem solving (CPS) is a method of problem solving in which you approach a problem or challenge in an imaginative, innovative way. The goal of CPS is to come up with innovative solutions, make a decision, and take action quickly. Sidney Parnes and Alex Osborn are credited with developing the creative problem solving process in the 1950s.
2. Break the problem down. Identifying the problem allows you to see which steps need to be taken to solve it. First, break the problem down into achievable blocks. Then, use strategic planning to set a time frame in which to solve the problem and establish a timeline for the completion of each stage. 3.
In our 2013 classic from the Quarterly, senior partner Olivier Leclerc highlights the value of taking a number of different approaches simultaneously to solve difficult problems. Read on to discover the five flexons, or problem-solving languages, that can be applied to the same problem to generate richer insights and more innovative solutions.
General Problem-Solving Tools. When you understand the problem in front of you, you're ready to start solving it. With your definition to guide you, you can generate several possible solutions, choose the best one, then put it into action. That's the four-step approach at the heart of good problem solving. There are various problem-solving ...
The 8D problem solving methodology is a systematic, team-based approach to problem solving. It is a method that guides a team through eight distinct steps to solve a problem in a systematic and comprehensive manner. The 8D process consists of the following steps:
1. Problem definition. A thorough understanding and crisp definition of the problem. 2. The problem-solving process. Structuring the problem, prioritizing the issues, planning analyses, conducting analyses, synthesizing findings, and developing recommendations. 3. Distinctiveness practices.
14 types of problem-solving strategies. Here are some examples of problem-solving strategies you can practice using to see which works best for you in different situations: 1. Define the problem. Taking the time to define a potential challenge can help you identify certain elements to create a plan to resolve them.
Problem solving is the process of reviewing every element of an issue so you can get to a solution or fix it. Problem solving steps cover multiple aspects of a problem that you can bring together to find a solution. Whether that's in a group collaboratively or independently, the process remains the same, but the approach and the steps can differ.
Phase 4: Elevate. This phase involves exploring how the problem connects to broader organizational issues. It's like zooming out on a map to understand where a city lies in relation to the whole ...
This Article Is a Guide to Notes Day, Pixar's Innovative Approach to Problem Solving. Actions. Book Insights. 15 mins. The Back of the Napkin: Solving Problems and Selling Ideas With Pictures. Dan Roam. Actions. Top Tips. 2 mins. Problem-Solving Sabotage. Tips to Make You Aware of Self-Sabotage Increasing Your Chance of a Positive Solution.
How to Solve Problems. To bring the best ideas forward, teams must build psychological safety. Teams today aren't just asked to execute tasks: They're called upon to solve problems. You'd ...
4. Okay answer: My approach to problem-solving is to stay calm and reflective. I take a moment to step back, assess the situation objectively, and then determine what actions to take. I try to look at the problem from different angles to find the root cause and develop a strategy to resolve it.
Problem-solving strategies can be enhanced with the application of creative techniques. You can use creativity to: Approach problems from different angles. Improve your problem-solving process. Spark creativity in your employees and peers. 6. Adaptability. Adaptability is the capacity to adjust to change. When a particular solution to an issue ...
4. Lack of respect for rhythms. There is always a right time for preparation, a right time for action and a right time for patience. Respecting the rhythms of a problem is directly link to the ...
Problem-Solving: Analytical thinking is essential for solving scientific problems, such as identifying research gaps, developing new methodologies, and finding innovative solutions to complex issues.
To convey a clear problem-solving approach, define the metrics you will use to evaluate the effectiveness of your solutions. These should be quantifiable indicators that reflect improvements in ...
Problem-based learning (PBL) is a student-centered approach in which students learn about a subject by working in groups to solve an open-ended problem. This problem is what drives the motivation and the learning. ... Problem solving across disciplines. Considerations for Using Problem-Based Learning.
Recently various optimization problems, such as Mixed Integer Linear Programming Problems (MILPs), have undergone comprehensive investigation, leveraging the capabilities of machine learning. This work focuses on learning-based solutions for efficiently solving the Quadratic Assignment Problem (QAPs), which stands as a formidable challenge in combinatorial optimization.