The traveling salesman problem is one of the basic problems that many theoretical computer scientists have been working on. Many scientists think that there is no algorithm for the traveling ...

The Traveling Salesman Problem with Backhauls (TSPB) is defined on a graph G = (V, E). The vertex set is partitioned into V=({v1},L,B), where v1 is a depot, L is a set of linehaul customers, and B is ...

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 ...

A 'branch and bound' algorithm is presented for solving the traveling salesman problem. The set of all tours (feasible solutions) is broken up into increasingly small subsets by a procedure called ...

Figure 1: Traveling Salesman Problem Using an Evolutionary Algorithm in Action This article assumes you have intermediate or better programming skill but doesn't assume you know anything about ...

Researchers have, inspired by the efficient foraging behavior of a single-celled amoeba, developed an analog computer for finding a reliable and swift solution to the traveling salesman problem ...

The problem is that the number of possible outcomes — or the number of "tours" for the travelling salesman — rises incredibly quickly.

This is a problem that has stumped mathematicians for decades, and there is even a prize for anyone who can come up with an algorithm to solve it.