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 ...

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 paper describes a new algorithm to produce r-optimal tours for the travelling salesman problem. This algorithm is faster than the original r-optimal method, and computation times increase much ...

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 ...

A new algorithm which could provide a solution to the age old Traveling Salesman Problem (TSP) has been improved by a student.

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 ...

After Karp’s paper was published, many computer scientists set their sights on creating an efficient algorithm to find approximate solutions to the traveling salesman problem — round-trip ...

Quantum physicists have developed an algorithm that uses a single qubit to solve a problem that had previously needed thousands of them.