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Multicommodity Distribution System Design by Benders Decomposition * † ‡

In: A Long View of Research and Practice in Operations Research and Management Science

Author

Listed:
  • A. M. Geoffrion

    (University of California)

  • G. W. Graves§

    (University of California)

Abstract

A commonly occurring problem in distribution system design is the optimal location of intermediate distribution facilities between plants and customers. A multicommodity capacitated single-period version of this problem is formulated as a mixed integer linear program. A solution technique based on Benders Decomposition is developed, implemented, and successfully applied to a real problem for a major food firm with 17 commodity classes, 14 plants, 45 possible distribution center sites, and 121 customer zones. An essentially optimal solution was found and proven with a surprisingly small number of Benders cuts. Some discussion is given concerning why this problem class appears to be so amenable to solution by Benders’ method, and also concerning what we feel to be the proper professional use of the present computational technique.

Suggested Citation

  • A. M. Geoffrion & G. W. Graves§, 2010. "Multicommodity Distribution System Design by Benders Decomposition * † ‡," International Series in Operations Research & Management Science, in: ManMohan S. Sodhi & Christopher S. Tang (ed.), A Long View of Research and Practice in Operations Research and Management Science, chapter 0, pages 35-61, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-6810-4_4
    DOI: 10.1007/978-1-4419-6810-4_4
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