Quantum physicists have developed an algorithm that uses a single qubit to solve a problem that had previously needed thousands of them. Quantum computing offers the hope of dramatic increases in ...

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 ...

Quantum computing offers the hope of dramatic increases in computational capabilities. That’s the promise of quantum computers that can handle hundreds of thousands or millions of quantum bits or ...

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 salesman ...

Abstract: We compare the two parent selection methods “linear rank” and “tournament” in a Genetic Algorithm applied to a dynamic Travelling Salesman Problem (TSP). The inherent dynamics of the problem ...

The goal of a combinatorial optimization problem is to find a set of distinct integer values that minimizes some cost function. The most famous example is the Traveling Salesman Problem (TSP). There ...

Abstract: The Travelling Salesman Problem (TSP) is a well known method for the optimisation problem that asks you to find the shortest route that visits each city in a set exactly once and then goes ...

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 ...

Dr. James McCaffrey of Microsoft Research uses full code samples to detail an evolutionary algorithm technique that apparently hasn't been published before. The goal of a combinatorial optimization ...

A formulation of the traveling salesman problem with more than one salesman is offered. The particular formulation has computational advantages over other formulations. Experience is obtained with an ...