Multicommodity Distribution System Design by Benders Decomposition,

Abstract

A commonly occurring problem in distribution system design is the optimal location of intermediate distribution facilities between plants and customers. A multi-commodity 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 the authors feel to be the proper professional use of the present computational technique. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0768877

Entities

People

  • A. Geoffrion
  • G. W. Graves

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Buildings And Structures
  • Commodities
  • Decomposition
  • Linear Programming
  • Military Facilities
  • Supply Depots

Readers

  • Industrial Economics
  • Operations Research