Hello folks,

I am trying to solve a non-standard TSP problem with no success so
far. I would really appreciate some help/hint on this problem.

The problem is a typical TSP problem: Given a complete graph, we want
to visit all the nodes and each node exactly once in a way that the
cost of traverse is minimal.

The cost function is defined for every "two consecutive edges", which
makes it a nonstandard TSP, For example, if I go from A to B and then
to C, then I get cost(A,B,C) (in a typical TSP, costs are defined per
edge, i.e. in form of cost(X,Y) and so here it would be cost(A,B)+cost
(B,C)). The cost function in my problem is symmetric, i.e. going from
A to B and then to C has the same cost as going from C to B and then
to A.

Finally, note that if I visit nodes A,B,C,D respectively, the total
cost would be cost(A,B,C)+cost(B,C,D).

Is it possible to map this problem to a standard TSP?

Thank you for your time!

Golabi

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