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A Dual-Based Procedure for Uncapacitated Facility Location

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  • Donald Erlenkotter

    (University of California, Los Angeles, California)

Abstract

We develop and test a method for the uncapacitated facility location problem that is based on a linear programming dual formation. A simple ascent and adjustment procedure frequently produces optimal dual solutions, which in turn often correspond directly to optimal integer primal solutions. If not, a branch-and-bound procedure completes the solution process. This approach has obtained and verified optimal solutions to all the Kuehn-Hamburger location problems in well under 0.1 seconds each on an IBM 360/91 computer, with no branching required. Computational tests on problems with as many as 100 potential facility locations provide evidence that this approach is superior to several other methods.

Suggested Citation

  • Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:6:p:992-1009
    DOI: 10.1287/opre.26.6.992
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