Which Way Now?
The “pure form” of the Traveling Salesman Problem is based
upon some pretty dramatic restrictions; such as, the distance (or cost, or
whatever) from A to B is the same as from B to A, and there’s no reason not to
prefer the trip A-B-C-A over A-C-B-A.
In some of the applications the Home page mentions, these
restrictions are reasonable. For example, if an automated machine tool has to
drill three holes (labeled A, B, C) in a sheet of metal, then there’s no reason
to prefer A-B-C over A-C-B. (In this case, there would be no need to return to
A; there’s already a hole there!) Or suppose a space telescope has a list of
stars to observe. There’s no reason to prefer one sequence of observations over
another, other than wanting to conserve propellant; the stars aren’t moving,
and the observing conditions are the same when looking at each of them.
Here’s the topic for this discussion:
Have you ever been in a situation, whether traveling or
otherwise, in which the optimum route was in doubt? Please describe it.
Perhaps you had trouble getting started, because you didn’t
know where you should go first, or where to go after that. Would an approach
similar to the one we studied in this module have been helpful? Why or why not?
(Assume you had somebody with you who could either produce a “by-hand” solution
quickly, or run the problem on a computer.)
If you didn’t use, or even consider, some variant of the
TSP, then how did you plan your trip?
General Note: To earn maximum credit, you should post to the
module discussion board in the first three days of each module. There’s no reason
not to, because the discussions are non-technical. Each topic is intended to
get us thinking about the type of management problem discussed in each module.
The topics don’t require any research, or any prior knowledge of management;
they’re based upon our own mundane experiences.
