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An Algorithm for Assigning Uses to Sources in a Special Class of Transportation Problems

Author

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  • V. Srinivasan

    (The University of Rochester, Rochester, New York)

  • G. L. Thompson

    (Carnegie-Mellon University, Pittsburgh, Pennsylvania)

Abstract

This paper considers a special class of transportation problems in which the needs of each user are to be supplied entirely by one of the available sources. We first show that an optimum solution to this special transportation problem is a basic feasible solution to a slightly different standard transportation problem. A branch-and-bound solution procedure for finding the desired solution to the latter is then presented and illustrated with an example. We then consider an extension of this problem by allowing the possibility of increasing (at a cost) the source capacities. The problem formulation is shown to provide a generalization to the well known assignment problem. The solution procedure appears to be relatively more efficient when the number of uses greatly exceeds the number of sources.

Suggested Citation

  • V. Srinivasan & G. L. Thompson, 1973. "An Algorithm for Assigning Uses to Sources in a Special Class of Transportation Problems," Operations Research, INFORMS, vol. 21(1), pages 284-295, February.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:1:p:284-295
    DOI: 10.1287/opre.21.1.284
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    Cited by:

    1. Prakash, Satya & Kumar, Pranav & Prasad, B.V.N.S. & Gupta, Anuj, 2008. "Pareto optimal solutions of a cost-time trade-off bulk transportation problem," European Journal of Operational Research, Elsevier, vol. 188(1), pages 85-100, July.
    2. T Öncan & S N Kabadi & K P K Nair & A P Punnen, 2008. "VLSN search algorithms for partitioning problems using matching neighbourhoods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 388-398, March.
    3. Pisut Pongchairerks, 2023. "A Probabilistic Hill-Climbing Algorithm for the Single-Source Transportation Problem," Sustainability, MDPI, vol. 15(5), pages 1-14, February.

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