We report the solution to optimality of ten large-scale symmetric travelling salesman problems. The travelling salesman problem (TSP) is one of the standard problems of the Operations ...

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 ...

This is a preview. Log in through your library . Abstract This paper elaborates a method of attack on traveling-salesman problems, proposed by the authors in an earlier paper, in which linear ...

Is it hopeless to try to compute the shortest route to visit a large number of cities? Not just a good route but the guaranteed shortest. The task is the long-standing challenge known as the traveling ...

We have found the best path to take between the stars. The travelling salesman problem, an infamous mathematical puzzle that seeks the shortest route between many locations while visiting each only ...

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 ...