A suggested computation for maximal multi-commodity network flows.

L. R. Ford, D. R. Fulkerson

Expert InsightsPublished 1958

A computation which uses the structure of one formulation of the multi-commodity problem within the framework of a simplex computation to determine maximal multi-commodity flows in networks. For this particular formulation, the number of variables is too large to be dealt with explicitly. The suggested computation treats nonbasic variables implicitly by replacing the pricing operation of the simplex method with several applications of a combinational algorithm for finding a shortest chain joining a pair of points in a network.

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Ford, L. R. and D. R. Fulkerson, A suggested computation for maximal multi-commodity network flows. Santa Monica, CA: RAND Corporation, 1958. https://www.rand.org/pubs/papers/P1114.html.
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