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The Traveling Salesman Problem with Precedence Constraints

The Traveling Salesman Problem with Precedence Constraints

Operations Research Proceedings, 1992
Abstract
The Traveling Salesman Problem with Precedence Constraints is to find an hamiltonian tour of minimum cost in a graph G=(X,A) of n vertices, starting from vertex 1, visiting every vertex that must precede i before i (i=2,3,...,n) and returning to vertex 1. In this paper we describe a new bounding procedure and a new optimal algorithm based on dynamic programming. Computational results are given for two classes of randomly generated test problems, including the Dial-A-Ride problem with the classical TSP objective function.

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