The shortest path tour problem: problem definition, modeling, and optimization
نویسنده
چکیده
The shortest path tour problem (SPTP) consists of finding a shortest path from a given origin node s to a given destination node d in a directed graph with nonnegative arc lengths with the constraint that the optimal path P should successively pass through at least one node from given node subsets T1, T2, . . . , TN , where ⋂N k=1 Tk = ∅. In this paper, it will proved that the SPTP belongs to the complexity class P and several alternative techniques will be presented to exactly solve it.
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