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The Factored Transportation Problem


  • James R. Evans

    (College of Business Administration, University of Cincinnati, Cincinnati, Ohio 45221)


The factored transportation problem is one having cost coefficients of the form c ij = u i v j . The main result proven in this paper is that if rows are arranged according to nonincreasing u i and columns by nondecreasing v j , then the northwest corner rule provides an optimal solution. Applications to stock location in a warehouse and information storage and retrieval policies are presented. For the stock location problem, this verifies that a previously advocated heuristic is optimal.

Suggested Citation

  • James R. Evans, 1984. "The Factored Transportation Problem," Management Science, INFORMS, vol. 30(8), pages 1021-1024, August.
  • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:8:p:1021-1024

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    Cited by:

    1. Faulin, Javier, 2003. "Applying MIXALG procedure in a routing problem to optimize food product delivery," Omega, Elsevier, vol. 31(5), pages 387-395, October.
    2. Reilly, Charles H. & Sapkota, Nabin, 2015. "A family of composite discrete bivariate distributions with uniform marginals for simulating realistic and challenging optimization-problem instances," European Journal of Operational Research, Elsevier, vol. 241(3), pages 642-652.


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