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The Factored Transportation Problem

Author

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  • James R. Evans

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

Abstract

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
    DOI: 10.1287/mnsc.30.8.1021
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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. Juuso Toikka & Akhil Vohra & Rakesh Vohra, 2022. "Bayesian Persuasion: Reduced Form Approach," PIER Working Paper Archive 22-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Vohra, Akhil & Toikka, Juuso & Vohra, Rakesh, 2023. "Bayesian persuasion: Reduced form approach," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    4. 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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