Point Lookout: a free weekly publication of Chaco Canyon Consulting
Volume 12, Issue 34;   August 22, 2012: Hill Climbing and Its Limitations

# Hill Climbing and Its Limitations

Finding a better solution by making small adjustments to your current solution is usually a good idea. The key word is "usually."

Finding the extreme values of functions is a common problem in mathematics. For instance, one form of the famous "traveling salesman" problem involves finding the shortest path that a traveling salesman can follow to visit all customers in a given district. Algorithms for optimizing functions are called "hill climbing" algorithms if they work by gradually improving a solution, adjusting its attributes one at a time.

The hill climbing metaphor comes from imagining the function's value as being the altitude of a point in a geographical region. To find the highest point in the region, we take one step at a time, always uphill. By always climbing uphill, we hope that we'll find the highest point in the region. The metaphor is so powerful that hill climbing algorithms are called "hill climbing" even when we're minimizing something instead of maximizing.

There's just one problem: hill climbing doesn't always work. For example, suppose you're unlucky enough to start your optimizing on the shoulder of a hill that happens to be the second-highest hill in the region. By always "moving uphill" you will indeed find the peak of that second-highest hill, but you'll never find the highest hill. In effect, the algorithm is "captured" by the second-highest hill and it can't break free.

That's unfortunate, because we use hill climbing often without being aware of it. For instance, when we hire people, we look for attributes that we feel will ensure that we hire the best. One such attribute is experience in efforts exactly like the ones we anticipate. Even though identical experience doesn't necessarily ensure future success, we use experience because we believe that it will take us most steeply "uphill." It's possible, of course, that someone with a different experience background might be just what we need to achieve even better results. But we'll never know, because the current solution has captured us.

This In decision making, we use hill
climbing often without being
aware of it
happens in problem solving too. When we're familiar with one solution, we tend to focus on filling out the rest of that solution, rather than seeking a completely new approach that might lead to a far better solution. Such new approaches are sometimes said to arise from "thinking out of the box."

And most tragically, hill climbing can lead to the downfall of an entire enterprise. A company that's dominant in its market can become captured by the particular way in which it meets customer needs. Even though it searches constantly for innovations, it seeks only those innovations that preserve certain attributes of its current offerings. When a competitor enters the market with a wholly different approach, that competitor can prevail if its solution gives the customer a path to a "higher hill." Think airlines and railroads, iTunes and record stores, or iPhone and Blackberry.

Is your enterprise captured by a hill climbing approach? Maybe it's not too late to do something about it.

Are your projects always (or almost always) late and over budget? Are your project teams plagued by turnover, burnout, and high defect rates? Turn your culture around. Read 52 Tips for Leaders of Project-Oriented Organizations, filled with tips and techniques for organizational leaders. Order Now!

Thank you for reading this article. I hope you enjoyed it and found it useful, and that you'll consider recommending it to a friend.

This article in its entirety was written by a human being. No machine intelligence was involved in any way.

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## Related articles

More articles on Personal, Team, and Organizational Effectiveness:

Appreciate Differences
In group problem solving, diversity of opinion and healthy, reasoned debate ensure that our conclusions take into account all the difficulties we can anticipate. Lock-step thinking — and limited debate — expose us to the risk of unanticipated risk.
The True Costs of Indirectness
Indirect communications are veiled, ambiguous, excessively diplomatic, or conveyed to people other than the actual target. We often use indirectness to avoid confrontation or to avoid dealing with conflict. It can be an expensive practice.
What Measurements Work Well?
To manage well, we need to know where we are, where we would like to be, and what we need to do to get there. Measurement can help us achieve our goals, by telling us where we are and how much progress we're making. But some things aren't measurable, and some measurement methods yield misleading results. How can we use measurement effectively?
Teamwork Myths: I vs. We
In high performance teams, cooperative behavior is a given. But in the experience of many, truly cooperative behavior is so rare that they believe that something fundamental is at work — that cooperative behavior requires surrendering the self, which most people are unwilling to do. It's another teamwork myth.
Symbolic Self-Completion and Projects
The theory of symbolic self-completion holds that to define themselves, humans sometimes assert indicators of achievement that either they do not have, or that do not mean what they seem to mean. This behavior has consequences for managing project-oriented organizations.

See also Personal, Team, and Organizational Effectiveness and Problem Solving and Creativity for more related articles.

## Forthcoming issues of Point Lookout

Coming July 3: Additive bias…or Not: II
Additive bias is a cognitive bias that many believe contributes to bloat of commercial products. When we change products to make them more capable, additive bias might not play a role, because economic considerations sometimes favor additive approaches. Available here and by RSS on July 3.
And on July 10: On Delegating Accountability: I
As the saying goes, "You can't delegate your own accountability." Despite wide knowledge of this aphorism, people try it from time to time, especially when overcome by the temptation of a high-risk decision. What can you delegate, and how can you do it? Available here and by RSS on July 10.

## Coaching services

I offer email and telephone coaching at both corporate and individual rates. Contact Rick for details at rbrendPtoGuFOkTSMQOzxner@ChacEgGqaylUnkmwIkkwoCanyon.com or (650) 787-6475, or toll-free in the continental US at (866) 378-5470.

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