The capacity scaling algorithm solves it in O (m (m + n log n) log (nU)) time, which is almost the same time needed to solve the minimum cost flow problem by the capacity scaling algorithm. These ...

Our algorithms are based on the successive shortest-path algorithm for the minimum cost flow problem. We exploit the special structure of the problem and use advanced data structures, when required, ...

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 ...

Rasmus Kyng has written the near-perfect algorithm. It computes the maximum transport flow at minimum cost for any kind of network – be it rail, road or electricity – at a speed that is, ...