While some of the best mathematical minds have been tackling the traveling-salesman problem for decades and some have found efficient solutions, no one has figured out how to completely solve the ...

A classic mathematical problem that finds the shortest distance of round trip travel between multiple locations. The traveling salesman problem (TSP) generates directions from city 1 to city 2 and so ...

The Journal of the Operational Research Society, Vol. 66, No. 4 (APRIL 2015), pp. 615-626 (12 pages) We introduce and study the Travelling Salesman Problem with Multiple Time Windows and Hotel ...

The science of computational complexity aims to solve the TSP -- the Travelling Salesman Problem -- when the time required to find an optimal solution is vital for practical solutions to modern-day ...

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 ...

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 ...

Just when you think you've heard it all about the amazing intellectual skills of animals, we now know that bees are able to solve complex mathematical problems more rapidly than computers. Bees solve ...