We transform a multiple traveling salesman problem with fixed charges for the assignment of salesmen and with a symmetric cost matrix to a standard symmetric traveling salesman problem.

A classic mathematical problem that finds the shortest distance of round trip travel between multiple locations. The traveling salesman problem (TSP) generates directions from city 1 to city 2 and so ...

The human mind is a path-planning wizard. Think back to pre-lockdown days when we all ran multiple errands back to back across town. There was always a mental dance in the back of your head to make ...

We extend the work of Letchford [Letchford, A. N. 2000. Separating a superclass of comb inequalities in planar graphs. Math. Oper. Res. 25 443-454] by introducing a new class of valid inequalities for ...

An infinitesimal advance in the traveling salesman problem breathes new life into the search for improved approximate solutions. The Quanta Newsletter ...

One of the oldest problems in computer science was just solved by a single cell. A group of researchers from Tokyo’s Keio University set out to use an amoeba to solve the Traveling Salesman Problem, a ...