These routes were comparable to the solutions calculated by a computer algorithm. Currently, when there are many target cities, the best way to tackle the traveling-salesman problem is a tool called ...

Let $D=(d_{ij})$ be the n × n distance matrix of a set of n cities {1, 2,..., n}, and let T be a PQ-tree with node degree bounded by d that represents a set II(T) of ...

Is it hopeless to try to compute the shortest route to visit a large number of cities? Not just a good route but the guaranteed shortest. The task is the long-standing challenge known as the traveling ...

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 ...

This is a preview. Log in through your library . Abstract We consider partitioning algorithms for the approximate solution of large instances of the traveling-salesman problem in the plane. These ...

Bumblebees can find the solution to a complex mathematical problem which keeps computers busy for days. Scientists in the UK have discovered that bees learn to fly the shortest possible route between ...