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A Suggested Computation for Maximal Multi-Commodity Network Flows

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Author Info

  • L. R. Ford, Jr.

    (The RAND Corporation, Santa Monica, California)

  • D. R. Fulkerson

    (The RAND Corporation, Santa Monica, California)

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    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.

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    File URL: http://dx.doi.org/10.1287/mnsc.5.1.97
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 5 (1958)
    Issue (Month): 1 (October)
    Pages: 97-101

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    Handle: RePEc:inm:ormnsc:v:5:y:1958:i:1:p:97-101

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    Cited by:
    1. Zhu, Wenbin & Huang, Weili & Lim, Andrew, 2012. "A prototype column generation strategy for the multiple container loading problem," European Journal of Operational Research, Elsevier, vol. 223(1), pages 27-39.
    2. Desaulniers, G. & Desrosiers, J. & Dumas, Y. & Marc, S. & Rioux, B. & Solomon, M. M. & Soumis, F., 1997. "Crew pairing at Air France," European Journal of Operational Research, Elsevier, vol. 97(2), pages 245-259, March.

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