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 ...

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 course continues our data structures and algorithms specialization by focussing on the use of linear and integer programming formulations for solving algorithmic problems that seek optimal ...

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 ...

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 ...

Despite these advancements, the solution to the travelling salesman problem still eludes mathematicians today. The Clay Mathematics Institute is offering a $1-million prize to anyone who can solve it ...

Warwick Business School's Dr Vladimir Deineko and colleagues have now solved a 30-year-old TSP special case problem. The Travelling Salesman Problem, or TSP, was first defined around 150 years ago.

Bees are effectively solving what is widely known as the ’Travelling Salesman Problem’, and are the first animals that have been found to do this. The ’Travelling Salesman’ must find the shortest ...

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 ...