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Feasibility of Two Commodity Network Flows

Author

Listed:
  • B. Rothschild

    (Yale University, New Haven, Connecticut)

  • A. Whinston

    (University of Virginia, Charlottesville, Virginia)

Abstract

The paper considers the problem of feasibility of integer flows in a two commodity network with integral capacities. The main result of the paper establishes conditions under which, in an Euler network, and for two non-negative integers a and b , there exists a two commodity flow, where the flow of the first commodity is of size a and the second flow of size b . This result is used to find some conditions for the case where a and b are not necessarily even.

Suggested Citation

  • B. Rothschild & A. Whinston, 1966. "Feasibility of Two Commodity Network Flows," Operations Research, INFORMS, vol. 14(6), pages 1121-1129, December.
    • Handle: RePEc:inm:oropre:v:14:y:1966:i:6:p:1121-1129
    DOI: 10.1287/opre.14.6.1121
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    Cited by:

    1. Lin, Yi-Kuei, 2006. "A simple algorithm to generate all (d,B)-MCs of a multicommodity stochastic-flow network," Reliability Engineering and System Safety, Elsevier, vol. 91(8), pages 923-929.
    2. Lin, Yi-Kuei, 2007. "Reliability of a computer network in case capacity weight varying with arcs, nodes and types of commodity," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 646-652.

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