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

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Sterten

Posts: 65
Registered: 12/13/04
traveling salesmen problem
Posted: Oct 18, 2012 10:17 PM
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this is a variation of the traveling salesman problem which I think
is more practical and more important. Maybe it is known under
a different name ?
In the original problem, suppose (equivalent descriptions)
----------------------------
the salesman is always allowed
to return to a previously visited city at zero cost
at which time the cities visited between these 2
events are removed from the list
-----------------------------
Or the transportation of the thing that he sells is much more
expensive than transporting himself.
-----------------------------------
Or he can hire a sub-salesman at any point who visits
one remote region while he visits the rest. The sub-salesman
needn't return, just deliver the product and can recruit
sub-sub-salesmen etc
----------------------------------------------------------
or connect every city from a list with the oil-source
by a pipeline and minimize the total length of pipelines
-----------------------------------------------------------------
or trying to sort genetic sequences
into an evolution tree : giving n sequences with known mutual
genetic distances, find a tree whose vertices are the sequences
such that the sum of the distances of joined vertices is minimal.
---------------------------------------

is that problem known ? What's the name,
where to find something about it ?



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