
A meeting at a whiteboard. Exchanging views about a problem sometimes requires nonverbal methods.
When we're solving problems, we sometimes unintentionally impose constraints that make solving easy problems difficult and solving difficult problems impossible. Relaxing these constraints is rare because we so rarely recognize that the constraints are self-imposed. Sometimes we incorrectly regard these constraints as part of the original problem, and therefore not subject to alteration.
After changing these self-imposed constraints, problem solutions often become easier to find. Because the challenge is to recognize self-imposed constraints, it's helpful to have a handy checklist of the common forms they take. With checklist in hand we can inspect the problem definition and the associated solution constraints. When we find a constraint that's on this list, we can recognize it as a candidate for alteration or removal.
Here's a list of these patterns of self-imposed constraints. Maybe you can add more.
- We can't revise the problem definition because it's complete and correct
- In many cases the person or persons (the "problem-posers") who constructed the problem definition don't belong to the group charged with solving the problem (the "problem-solvers"). In these situations there's a tendency for the problem-solvers to accept the problem definition without questioning it. Sometimes this happens, in part, because the problem-posers outrank the problem-solvers politically, and the problem-solvers don't feel authorized to question the problem definition.
- But until careful study begins, we can't be certain that the problem as posed actually has a solution. Or a solution might exist, but it isn't consistent with pertinent laws or regulations. Some problems have no solutions. Verify that what the problem-posers want is actually legal, that it conforms to the laws of Physics and Economics, and that it makes logical sense. You don't want to be engaged in a search for the cheapest way to turn marshmallows into gold.
- That way isn't the best way
- Suppose the problem-solvers have found an approach that seems to be workable. The approach has provided a path around all known obstacles. But someone has expressed a general feeling that there's a better way. This pattern can appear when solving problems of any scale, from World Hunger to the order of the items in a meeting agenda.
- The odd We sometimes unintentionally impose
constraints that make easy problems
difficult and difficult problems impossiblething is that for most problems, the group's charter has no language that commands, "Find the best solution." But we search for the best solution anyway. That can be wasteful, because good enough often is good enough. Complex problems rarely have a "best" solution. See "Problem Defining and Problem Solving," Point Lookout for August 3, 2005, for more. - We can't afford (or have no time for) experimentation
- Some problems have solutions that become evident only after we try a series of candidate solutions, either in real life or in simulation. But trials — even simulated trials — require resources. When those who control those resources refuse to provide them, finding acceptable solutions can be more difficult. That's life. But when we decide not to request the resources necessary for trial solutions, or when we don't even think of experimenting with trial solutions, or when we fail to make clear the full costs of parsimony, we're imposing an unnecessary constraint on our own problem-solving process.
- Try some experiments as a way of exploring possibilities. Start by making simplifying assumptions that might not be justifiable in the real problem. Be careful. Experiments have a way of morphing into prototypes that then become the solutions. This happens, in part, because people want to recover the costs of the experiments. Before constructing the real solution, terminate all experiments. Start the real solution from a clean sheet.
- The solution to this problem will be much (cleaner, cheaper, …) if we do X first
- When the problem at hand (I'll call it P) is to enhance or build upon existing assets, a common pattern involves attending to those assets (the X referred to above) before solving P. While doing so might be wise if the problem solution is already in hand, it's a dubious strategy if the solution to P is understood only in broad outlines. Actually solving P frequently produces new information that can alter views about exactly what X entails.
- Undertaking X first is risky, because it defers P. There's a high bar to meet whenever we defer one problem to address another. That pattern can repeat recursively: as we defer P to handle X, we then find a third problem Y that causes us to propose deferring X until we deal with Y, and so on. If tackling X before solving P really is a good idea, then it's worth doing on its own merits. Consider putting X in the queue as backlog to be cleared after the work on P is completed. In other words, take on some technical debt (X) until the more immediate issue (P) is cleared. P might need some rework later, and that is a consideration, but do consider it.
- Failed attempts are failed attempts; move on
- When we try a candidate solution, and discover an insurmountable obstacle that renders it a failure, we can rule out that candidate. But there is usually value in understanding the details of the failure. Moving on without capturing that knowledge can be an expensive mistake. For example, a clear understanding of one failed candidate solution can be useful for adjusting other candidate solutions before studying them.
- Design your solution attempts so that you can harvest value even from failure. If they succeed, fine. But if they fail, they should fail in ways that expand your knowledge and understanding of the problem. This means that you need to gather enough data along the way so that even if an approach fails, it helps you formulate new approaches, or suggests ways to modify other failed approaches.
- Pictures don't lie: diagrams are complete and unbiased
- Solving some problems entails constructing and interpreting graphic representations of concepts and relationships. When these representations are displayed on screens, paper, or whiteboards, they are inherently two-dimensional. That's fine for many situations, but if higher dimensionality is needed, these graphical representations can only be approximations, and approximations can be misleading. Sizes and placement of representations of elements of the problem can convey biases that affect how we understand the problem and how we formulate solutions.
- The biases that arise from the inherent limitations of two-dimensional diagrams are outside our awareness. That's one reason why intentionally removing the biases can be so difficult. One approach that helps in some cases is redrawing the graphical representations in different ways, perhaps by different people. Scramble the diagrams. New insights might result.
- Wait! There's more!
- The problem-solvers found a solution to what the problem-posers asked for. But as they were implementing it, they realized something they could add (call it X) with what seemed to be just a bit more work. And that additional capability would surprise and delight everyone. The problem-posers weren't actually asking for X, but the problem-solvers were certain that they would be pleased.
- If the additional work really is just a "bit," then of course, just do it. But that case is rare indeed. Almost always, the additional work is a budget buster.
- Solving the more general case
- The problem-solvers found a solution to what the problem-posers asked for. But as they were implementing it, they realized that their solution (call it X) was just a special case of a large class of problems for which they believe they have the general solution (call it X'). They believed that X' wasn't much more work than X, and that having X' in hand would surprise and delight everyone. The problem-posers weren't actually asking for X', but the problem-solvers were certain that they would be pleased.
- This is another example of the actual implementation turning out to be far more work than it first seemed. Almost always, this is another budget buster.
Over time, solving many problems, you'll occasionally have "a-hah" moments when you suddenly realize how to solve the problem at hand. When that happens, ask yourself, "What was I assuming that prevented me from seeing this until now?" If you find an answer to that question, and it turns out to be a self-imposed constraint of a kind not included in this list, add it to your own list. And send me a note. I'd like to expand my collection. Top
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Related articles
More articles on Problem Solving and Creativity:
Coping with Problems
- How we cope with problems is a choice. When we choose our coping style, we help determine our ability
to address the problems we face. Of eight styles we can identify, only one is universally constructive,
and we rarely use it.
Assumptions and the Johari Window: I
- The roots of both creative and destructive conflict can often be traced to differing assumptions of
the parties to the conflict. Working out these differences is a lot easier when we know what everyone's
assumptions are.
New Ideas: Experimentation
- In collaborative problem solving, teams sometimes perform experiments to help choose a solution. These
experiments sometimes lead to trouble. What are the troubles and how can we avoid them?
Intentionally Unintentional Learning
- Intentional learning is learning we undertake by choice, usually with specific goals. When we're open
to learning not only from those goals, but also from whatever we happen upon, what we learn can have
far greater impact.
Tackling Hard Problems: I
- Hard problems need not be big problems. Even when they're small, they can halt progress on any project.
Here's Part I of an approach to working on hard problems by breaking them down into smaller steps.
See also Problem Solving and Creativity and Critical Thinking at Work for more related articles.
Forthcoming issues of Point Lookout
Coming March 29: Time Slot Recycling: The Risks
- When we can't begin a meeting because some people haven't arrived, we sometimes cancel the meeting and hold a different one, with the people who are in attendance. It might seem like a good way to avoid wasting time, but there are risks. Available here and by RSS on March 29.
And on April 5: The Fallacy of Division
- Errors of reasoning are pervasive in everyday thought in most organizations. One of the more common errors is called the Fallacy of Division, in which we assume that attributes of a class apply to all members of that class. It leads to ridiculous results. Available here and by RSS on April 5.
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