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Topic: traveling salesmen problem
Replies: 4   Last Post: Oct 21, 2012 12:37 PM

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Posts: 65
Registered: 12/13/04
Re: traveling salesmen problem
Posted: Oct 20, 2012 10:55 PM
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seems to be trivial to solve and therefore mathematically
not interesting. Still I think there should be a name and
an algorithm how to find it in internet.E.g. at wikipedia.
I'd call it the pipeline problem.

I think the solution is to repeatedly select the shortest distance
between a connected city and a nonconnected one and connect the two.

Or has someone a counterexample ?

It's not satisfactory for me, though. I want to list the cities
in 1-dim and I wand conglomerations to be listed in one group
and not possibly scattered.
The "subtree grouping problem" ?
Or the "province forming problem" ?
How to assign the cities
from a list to k -to be formed- administrative regions and subregions so the
the sum of distances of cities in the same group is minimal.

given a metric space M and an integer k, find disjoint subsets S1..Sk of
M whose union is M so to minimize SUM(i=1..k)SUM((x,y) in SixSi) d(x,y)

well, I don't know k.

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