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 goal is to minimise the tour costs consisting of wage, hotel costs, travelling expenses and penalty fees for possibly omitted customers. We present a mixed integer linear programming (MILP) model ...

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 ...