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 ...

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 ...

Traveling Salesman Problem Visualization Watch on For example, when there are eight cities, there are 5040 routes connecting this. One solution is " Greedy Algorithm A way of thinking about moving ...

Not long ago, a team of researchers from Stanford and McGill universities broke a 35-year record in computer science by an almost imperceptible margin — four hundredths of a trillionth of a trillionth ...

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 ...

Not long ago, a team of researchers from Stanford and McGill universities broke a 35-year record in computer science by an almost imperceptible margin — four hundredths of a trillionth of a trillionth ...

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 ...

A salesman has to visit every major city in the U.S. What is the cheapest way to hit them all exactly once and then return to the headquarters? The computation of the single best answer for what is ...