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.
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 welcomeWould you like to see your comments posted here? rbrensJDdYuvaooYDkcJUner@ChacVjWvZpDKiztglmzSoCanyon.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.
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.
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.
- Abraham, Mark, and Henny
- Our plans, products, and processes are often awkward, bulky, and complex. They lack a certain spiritual
quality that some might call elegance. Yet we all recognize elegance when we see it. Why do we make
things so complicated?
- Finding Work in Tough Times: Infrastructure
- Finding work in tough times goes a lot more easily if you have at least a minimum of equipment and space
to do the job. Here are some thoughts about getting that infrastructure and managing it.
- The Deck Chairs of the Titanic: Task Duration
- Much of what we call work is as futile and irrelevant as rearranging the deck chairs of the Titanic.
We continue our exploration of futile and irrelevant work, this time emphasizing behaviors that extend
- Embolalia and Stuff Like That: I
- When we address others, we sometimes use filler — so-called automatic speech or embolalia —
without thinking. Examples are "uh," "um," and "er," but there are more
complex forms, too. Embolalia are usually harmless, if mildly annoying to some. But sometimes they can
Forthcoming issues of Point Lookout
- Coming February 27: Brainstorming and Speedstorming: II
- Recent research into the effectiveness of brainstorming has raised some questions. Motivated to examine alternatives, I ran into speedstorming. Here's Part II of an exploration of the properties of speedstorming. Available here and by RSS on February 27.
- And on March 6: A Pain Scale for Meetings
- Most meetings could be shorter, less frequent, and more productive than they are. Part of the problem is that we don't realize how much we do to get in our own way. If we track the incidents of dysfunctional activity, we can use the data to spot trends and take corrective action. Available here and by RSS on March 6.
I offer email and telephone coaching at both corporate and individual rates. Contact Rick for details at rbrenOmeiltuTQiVmvDCjner@ChacikAOFMcDdQAKRwguoCanyon.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, USD 11.95)
- Get 2003-4 in Why Dogs Wag (PDF, USD 11.95)
- Get 2005-6 in Loopy Things We Do (PDF, USD 11.95)
- Get 2007-8 in Things We Believe That Maybe Aren't So True (PDF, USD 11.95)
- Get 2009-10 in The Questions Not Asked (PDF, USD 11.95)
- Get all of the first twelve years (2001-2012) in The Collected Issues of Point Lookout (PDF, USD 28.99)
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 words in your inbox in one hour. License any article from this Web site. More info
- The Power Affect: How We Express Our Personal Power
- Many people who possess real organizational power have a characteristic demeanor. It's the way they project their presence. I call this the power affect. Some people — call them power pretenders — adopt the power affect well before they attain significant organizational power. Unfortunately for their colleagues, and for their organizations, power pretenders can attain organizational power out of proportion to their merit or abilities. Understanding the power affect is therefore important for anyone who aims to attain power, or anyone who works with power pretenders. Read more about this program.