In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

We have found the best path to take between the stars. The travelling salesman problem, an infamous mathematical puzzle that seeks the shortest route between many locations while visiting each only ...

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 ...

Combinatorial optimization problems are problems that arise in everyday situations, involving the puzzle of determining the shortest route that can be taken between multiple points. Researchers have ...

If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

This paper considers the shortest path problem with waiting costs (SPWC) as an extension to the shortest path problem with time windows. The problem consists of finding the minimum cost path in a ...