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Linear programming is the study of optimizing a linear function over a set of linear inequalities. The Simplex Method, Ellipsoid Method and Interior Point Method are popular algorithms to solve linear programs.

2 votes

Maximum flow with negative capacities?

Thanks everyone for your comments. Unfortunately, I now realize that I was trying to do the impossible. As Brian's comment suggests, I can't have a net flow of +7 in both directions between a pair of …
Fumiyo Eda's user avatar
6 votes
3 answers
10k views

Maximum flow with negative capacities?

I'm trying to compute an (s-t) maximum flow through a network which includes a number of arc pairs ((u,v), (v,u)) that have equal, negative capacities (weights). I'm not aware of any efficient algorit …
Fumiyo Eda's user avatar