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 ...

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 ...

An infinitesimal advance in the traveling salesman problem breathes new life into the search for improved approximate solutions. The Quanta Newsletter ...

The traveling salesman problem is one of the more famous challenges in mathematics. This is the problem of finding the shortest route for visiting a number of cities once and then returning to the ...