A dynamic convexized method for the TSP

Abstract

This paper describes a dynamic convexized method for solving the symmetric traveling salesman problem (TSP). We construct an auxiliary function and design an algorithm based on this function. The possibility of sinking into a previous local minimizer can be reduced by adjusting the value of the parameter in the auxiliary function. We have verified the correctness of this approach both in theory and experiment. Computational tests show that the algorithm is effective.