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Solving the simple plant location problem using a data correcting approach

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  • Goldengorin, Boris

    (Groningen University)

Abstract

The Data Correcting Algorithm is a branch and bound algorithm in which thedata of a given problem instance is ‘corrected’ at each branching in such a waythat the new instance will be as close as possible to a polynomially solvableinstance and the result satisfies an acceptable accuracy (the difference betweenoptimal and current solution). In this paper the data correcting algorithm isapplied to determining exact and approximate optimal solutions to the simpleplant location problem. Implementations of the algorithm are based on apseudo-Boolean representation of the goal function of the SPLP and a newreduction rule. We study the efficiency of the data correcting approach usingtwo different bounds, the combinatorial bound and the Erlenkotter bound. Wepresent computational results on several benchmark instances of the simpleplant location problem, which confirm the efficiency of the data-correcting approach.

Suggested Citation

  • Goldengorin, Boris, 2001. "Solving the simple plant location problem using a data correcting approach," Research Report 01A53, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:01a53
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    File URL: http://irs.ub.rug.nl/ppn/230347045
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    References listed on IDEAS

    as
    1. Goldengorin, Boris & Ghosh, Diptesh & Sierksma, Gerard, 2001. "Branch and peg algorithms for the simple plant location problem," Research Report 01A14, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    2. Boris Goldengorin & Gerard Sierksma & Gert A. Tijssen & Michael Tso, 1999. "The Data-Correcting Algorithm for the Minimization of Supermodular Functions," Management Science, INFORMS, vol. 45(11), pages 1539-1551, November.
    3. Ghosh, Diptesh & Sierksma, Gerard & Goldengorin, Boris & AlMohammad, Bader F., 2000. "Equivalent instances of the simple plant location problem," Research Report 00A54, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    4. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    5. Gerard Cornuejols & Marshall L. Fisher & George L. Nemhauser, 1977. "Exceptional Paper--Location of Bank Accounts to Optimize Float: An Analytic Study of Exact and Approximate Algorithms," Management Science, INFORMS, vol. 23(8), pages 789-810, April.
    6. repec:dgr:rugsom:00a54 is not listed on IDEAS
    7. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
    8. R. S. Garfinkel & A. W. Neebe & M. R. Rao, 1974. "An Algorithm for the M-Median Plant Location Problem," Transportation Science, INFORMS, vol. 8(3), pages 217-236, August.
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