Network flow problem | Mathematical problems

Minimum-cost flow problem

The minimum-cost flow problem (MCFP) is an optimization and decision problem to find the cheapest possible way of sending a certain amount of flow through a flow network. A typical application of this problem involves finding the best delivery route from a factory to a warehouse where the road network has some capacity and cost associated. The minimum cost flow problem is one of the most fundamental among all flow and circulation problems because most other such problems can be cast as a minimum cost flow problem and also that it can be solved efficiently using the network simplex algorithm. (Wikipedia).

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Related pages

Circulation problem | Flow network | Maximum flow problem | Ford–Fulkerson algorithm | Network flow problem | Bipartite graph | GNU Linear Programming Kit | Assignment problem | Network simplex algorithm | Out-of-kilter algorithm | Matching (graph theory) | Directed graph | Decision problem | Shortest path problem | Linear programming