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Solving the Transportation Problem

Author

Listed:
  • L. R. Ford, Jr.

    (The RAND Corporation)

  • D. R. Fulkerson

    (The RAND Corporation)

Abstract

A simplified description of a new computing procedure for the Hitchcock-Koopmans transportation problem is given, together with a step by step solution of an illustrative example. The procedure is based on Kuhn's combinatorial algorithm for the assignment problem and a simple "labeling process" for solving maximal flow problems in networks. The proposed computation appears to be considerably more efficient than the specialized form of the simplex method which is in common use.

Suggested Citation

  • L. R. Ford, Jr. & D. R. Fulkerson, 1956. "Solving the Transportation Problem," Management Science, INFORMS, vol. 3(1), pages 24-32, October.
    • Handle: RePEc:inm:ormnsc:v:3:y:1956:i:1:p:24-32
    DOI: 10.1287/mnsc.3.1.24
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    Cited by:

    1. Sinuany-Stern, Zilla, 2023. "Foundations of operations research: From linear programming to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1069-1080.
    2. G Leonardi, 1985. "Asymptotic Approximations of the Assignment Model with Stochastic Heterogeneity in the Matching Utilities," Environment and Planning A, , vol. 17(10), pages 1303-1314, October.
    3. Lersteau, Charly & Rossi, André & Sevaux, Marc, 2016. "Robust scheduling of wireless sensor networks for target tracking under uncertainty," European Journal of Operational Research, Elsevier, vol. 252(2), pages 407-417.
    4. Tamás Rapcsák, 2010. "The life and works of Jenő Egerváry (1891–1958)," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(1), pages 59-71, March.
    5. William Lee Croft & Wei Shi & Jörg-Rüdiger Sack & Jean-Pierre Corriveau, 2017. "Comparison of approaches of geographic partitioning for data anonymization," Journal of Geographical Systems, Springer, vol. 19(3), pages 221-248, July.
    6. Hartmann, Alexander K., 1996. "Cluster-exact approximation of spin glass groundstates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 480-488.
    7. Hartmann, A.K. & Usadel, K.D., 1995. "Exact determination of all ground states of random field systems in polynomial time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(2), pages 141-152.
    8. Susan Cholette, 2007. "A Novel Problem for a Vintage Technique: Using Mixed-Integer Programming to Match Wineries and Distributors," Interfaces, INFORMS, vol. 37(3), pages 231-239, June.

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