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 ...

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 ...

A tool called linear programming allows us to do just that by assigning fractions to roads that join pairs of cities rather than deciding immediately whether to use a road or not.