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An Algorithm for the M-Median Plant Location Problem

Author

Listed:
  • R. S. Garfinkel

    (The University of Rochester, Rochester, New York)

  • A. W. Neebe

    (The University of Rochester, Rochester, New York)

  • M. R. Rao

    (The University of Rochester, Rochester, New York)

Abstract

The problem is to locate a given number of plants along a road network so as to minimize the total distance between plants and warehouses assigned to them. It is modeled as an integer programming problem and the relaxed LP is solved by decomposition. In cases of noninteger termination, the ILP is attacked using group theoretics and a dynamic programming recursion. Computational results are given, which contrast this procedure to a branch-and-bound approach.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:8:y:1974:i:3:p:217-236
    DOI: 10.1287/trsc.8.3.217
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    Citations

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    Cited by:

    1. Klose, Andreas & Gortz, Simon, 2007. "A branch-and-price algorithm for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1109-1125, June.
    2. Gabriella Divéki & Csanád Imreh, 2011. "Online facility location with facility movements," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(2), pages 191-200, June.
    3. Dissanayake, Sahan T.M. & Önal, Hayri & Westervelt, James D. & Balbach, Harold E., 2012. "Incorporating species relocation in reserve design models: An example from Ft. Benning GA," Ecological Modelling, Elsevier, vol. 224(1), pages 65-75.
    4. 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).
    5. 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).
    6. Galvao, Roberto Dieguez & ReVelle, Charles, 1996. "A Lagrangean heuristic for the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 88(1), pages 114-123, January.
    7. Ann Melissa Campbell & Dieter Vandenbussche & William Hermann, 2008. "Routing for Relief Efforts," Transportation Science, INFORMS, vol. 42(2), pages 127-145, May.
    8. C S Sung & W Yang, 2008. "An exact algorithm for a cross-docking supply chain network design problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 119-136, January.
    9. Rosing, K. E. & ReVelle, C. S. & Schilling, D. A., 1999. "A gamma heuristic for the p-median problem," European Journal of Operational Research, Elsevier, vol. 117(3), pages 522-532, September.
    10. Rafael Bernardo Carmona-Benítez, 2020. "Dimensionality-reduction Procedure for the Capacitated p-Median Transportation Inventory Problem," Mathematics, MDPI, vol. 8(4), pages 1-16, March.

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