Probabilistic Algorithm for the Directed Traveling Salesman Problem

Published Online:https://doi.org/10.1287/moor.11.2.343

A model is given for a random directed traveling salesman problem (DTSP). The asymptotic behavior of the optimal solution of the DTSP is determined, and this result is used to establish an ϵ-optimal probabilistic algorithm for solving the DTSP in polynomial time.

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