Traveling Salesman Problems

Abstract

This chapter is devoted to the Traveling Salesman Problem (TSP), one of the most famous problems of combinatorial optimization. Compact ILP models for this problem have been proposed since a long time, but most of them are not effective for computational purposes. We describe an effective compact model which expresses the subtour inequalities via the max-flow/min-cut theorem. In this chapter we also present a new formulation for the TSP that shows some flexibility to be adapted to some TSP variants such as, in particular, the TSP with time windows.