Several branch-and-bound algorithms for the exact solution of the asymmetric traveling salesman problem (ATSP), based on the assignment problem (AP) relaxation, have been proposed in the literature.

The travelling salesman problem (TSP) remains one of the most challenging NP‐hard problems in combinatorial optimisation, with significant implications for logistics, network design and route planning ...

Dr. James McCaffrey of Microsoft Research uses full code samples to detail an evolutionary algorithm technique that apparently hasn't been published before. The goal of a combinatorial optimization ...

https://doi.org/10.2307/2582378 • https://www.jstor.org/stable/2582378 Copy URL An algorithm is presented for randomly generating travelling-salesman problems (TSPs ...

Many important and valuable planning and scheduling problems in logistics and automation are combinatorial optimization problems. The most famous problem of this type is the traveling salesman problem ...

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 ...

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 ...

It is a mathematical puzzle which has vexed academics and travelling salesmen alike, but new research from Queen Mary, University of London's School of Biological and Chemical Sciences, reveals how ...