A team of computer scientists has come up with a dramatically faster algorithm for one of the oldest problems in computer science: maximum flow. The problem asks how much material can flow through a ...

Computer scientists have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with minimum transport costs for ...

$${U}_{j}({f}_{j},\alpha )=\{\begin{array}{ll}\frac{{f}_{j}^{1-\alpha }}{1-\alpha } & {\rm{for}}\,\alpha \ge \mathrm{0,}\,\alpha \ne 1\\ \mathrm{log}({f}_{j}) & {\rm ...