This paper elaborates a method of attack on traveling-salesman problems, proposed by the authors in an earlier paper, in which linear programming is used to reduce the combinatorial magnitude of such ...

We designed a simple computational exercise to compare weak and strong integer programming formulations of the traveling salesman problem. Using commercial IP software, and a short (60 line long) ...

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 ...

The task is the long-standing challenge known as the traveling salesman problem, or TSP for short. Finding a method that can quickly solve every example of the TSP would be a stunning breakthrough ...

The most efficient path that visits each of 2 million stars just once We have found the best path to take between the stars. The travelling salesman problem, an infamous mathematical puzzle that ...