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A Suggested Computation for Maximal Multi-Commodity Network Flows

Author

Listed:
  • L. R. Ford, Jr.

    (The RAND Corporation, Santa Monica, California)

  • D. R. Fulkerson

    (The RAND Corporation, Santa Monica, California)

Abstract

A simplex computation for an arc-chain formulation of the maximal multi-commodity network flow problem is proposed. Since the number of variables in this formulation is too large to be dealt with explicitly, the computation treats non-basic variables implicitly by replacing the usual method of determining a vector to enter the basis with several applications of a combinatorial algorithm for finding a shortest chain joining a pair of points in a network.

Suggested Citation

  • L. R. Ford, Jr. & D. R. Fulkerson, 1958. "A Suggested Computation for Maximal Multi-Commodity Network Flows," Management Science, INFORMS, vol. 5(1), pages 97-101, October.
  • Handle: RePEc:inm:ormnsc:v:5:y:1958:i:1:p:97-101
    DOI: 10.1287/mnsc.5.1.97
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