
Dunes in Death Valley, California. Dunes are of course transitory, moved about constantly by wind action. At the time of this photograph, we can see several possible "hill peaks" of the kind we imagine when we use hill climbing algorithms. Looking at the photo, it's easy to understand how hill climbing algorithms can be captured by local maxima, thereby preventing them from finding even higher maxima. Photo courtesy U.S. National Park Service.
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 ithappens 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. Top
Next Issue
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!
Your comments are welcome
Would you like to see your comments posted here? rbrenDJpmhgyaDTwBQXkhner@ChacmGoYuzfZpOvDQdRkoCanyon.comSend me your comments by email, or by Web form.About Point Lookout
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.
Point Lookout is a free weekly email newsletter. Browse the archive of past issues. Subscribe for free.
Support Point Lookout by joining the Friends of Point Lookout, as an individual or as an organization.
Do you face a complex interpersonal situation? Send it in, anonymously if you like, and I'll give you my two cents.
Related articles
More articles on Personal, Team, and Organizational Effectiveness:
Become a Tugboat Captain
- If your job responsibilities sometimes require that you tell powerful people that they must do something
differently, you could find yourself in danger from time to time. You can learn a lot from tugboat captains.
Bonuses
- How we deal with adversity can make the difference between happiness and something else. And how we
deal with adversity depends on how we see it.
Ethical Debate at Work: II
- Outcomes of debates at work sometimes favor one party, not only at the expense of the other or others,
but also at the expense of the organization. Here's Part II of a set of guidelines for steering debates
toward wise outcomes.
How We Waste Time: I
- Time is the one workplace resource that's evenly distributed. Everyone gets exactly the same share,
but some use it more wisely than others. Here's Part I of a little catalog of ways we waste time.
The Self-Explanation Effect
- In the learning context, self-explanation is the act of explaining to oneself what one is learning.
Self-explanation has been shown to increase the rate of acquiring mastery. The mystery is why we don't
structure knowledge work to exploit this phenomenon.
See also Personal, Team, and Organizational Effectiveness and Personal, Team, and Organizational Effectiveness for more related articles.
Forthcoming issues of Point Lookout
Coming May 14: Working with the Overconfident
- A cognitive bias known as the Overconfidence Effect causes us to overestimate the reliability of our judgments. Decisions we make based on those judgments are therefore suspect. But there are steps we can take to make our confidence levels more realistic, and thus make our decisions more reliable. Available here and by RSS on May 14.
And on May 21: Mismanaging Project Managers
- Most organizations hold project managers accountable for project performance. But they don't grant those project managers control of needed resources. Nor do they hold project sponsors or other senior managers accountable for the consequences of their actions when they interfere with project work. Here's a catalog of behaviors worth looking at. Available here and by RSS on May 21.
Coaching services
I offer email and telephone coaching at both corporate and individual rates. Contact Rick for details at rbrenDJpmhgyaDTwBQXkhner@ChacmGoYuzfZpOvDQdRkoCanyon.com or (650) 787-6475, or toll-free in the continental US at (866) 378-5470.
Get the ebook!
Past issues of Point Lookout are available in six ebooks:
- Get 2001-2 in Geese Don't Land on Twigs (PDF, )
- Get 2003-4 in Why Dogs Wag (PDF, )
- Get 2005-6 in Loopy Things We Do (PDF, )
- Get 2007-8 in Things We Believe That Maybe Aren't So True (PDF, )
- Get 2009-10 in The Questions Not Asked (PDF, )
- Get all of the first twelve years (2001-2012) in The Collected Issues of Point Lookout (PDF, )
Are you a writer, editor or publisher on deadline? Are you looking for an article that will get people talking and get compliments flying your way? You can have 500-1000 words in your inbox in one hour. License any article from this Web site. More info
Follow Rick
Recommend this issue to a friend
Send an email message to a friend
rbrenDJpmhgyaDTwBQXkhner@ChacmGoYuzfZpOvDQdRkoCanyon.comSend a message to Rick
A Tip A Day feed
Point Lookout weekly feed
