Nonlinear Resolving Functions for the Travelling Salesman Problem

作者:Sergeev S I*
来源:Automation and Remote Control, 2013, 74(6): 978-994.
DOI:10.1134/S0005117913060088

摘要

We propose two approaches to finding lower bounds in the traveling salesman problem (TSP). The first approach, based on a linear specification of the resolving function phi(t, y), uses a two-index TSP model in its solution. This model has many applications. The second approach, based on a nonlinear specification of the resolving function phi(t, y), uses a single-index TSP model. This model is original and lets us significantly reduce the branching procedure in the branch-and-bound method for exact TSP solution. One cannot use the two-index TSP model here due to the nonlinear specification of the resolving function phi(t, y).

  • 出版日期2013-6