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A Tabu Search Heuristic Procedure for the Capacitated Facility Location Problem

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  • Minghe Sun

    (The University of Texas at San Antonio)

Abstract

A tabu search heuristic procedure for the capacitated facility location problem is developed, implemented and computationally tested. The heuristic procedure uses both short term and long term memories to perform the main search process as well as the diversification and intensification functions. Visited solutions are stored in a primogenitary linked quad tree as a long term memory. The recent iteration at which a facility changed its status is stored for each facility site as a short memory. Lower bounds on the decreases of total cost are used to measure the attractiveness of switching the status of facilities and are used to select a move in the main search process. A specialized transportation algorithm is developed and employed to exploit the problem structure in solving transportation problems. The performance of the heuristic procedure is tested through computational experiments using test problems from the literature and new test problems randomly generated. It found optimal solutions for a most all test problems used. As compared to the Lagrangean and the surrogate/Lagrangean heuristic methods, the tabu search heuristic procedure found much better solutions using much less CPU time.

Suggested Citation

  • Minghe Sun, 2008. "A Tabu Search Heuristic Procedure for the Capacitated Facility Location Problem," Working Papers 0050, College of Business, University of Texas at San Antonio.
    • Handle: RePEc:tsa:wpaper:0095mss
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    File URL: http://interim.business.utsa.edu/wps/MSS/0050MSS-061-2008.pdf
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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. E. Feldman & F. A. Lehrer & T. L. Ray, 1966. "Warehouse Location Under Continuous Economies of Scale," Management Science, INFORMS, vol. 12(9), pages 670-684, May.
    3. Ghosh, Diptesh, 2003. "Neighborhood search heuristics for the uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 150(1), pages 150-162, October.
    4. Alfred A. Kuehn & Michael J. Hamburger, 1963. "A Heuristic Program for Locating Warehouses," Management Science, INFORMS, vol. 9(4), pages 643-666, July.
    5. Michel, Laurent & Van Hentenryck, Pascal, 2004. "A simple tabu search for warehouse location," European Journal of Operational Research, Elsevier, vol. 157(3), pages 576-591, September.
    6. Tony J. Van Roy, 1986. "A Cross Decomposition Algorithm for Capacitated Facility Location," Operations Research, INFORMS, vol. 34(1), pages 145-163, February.
    7. Umit Akinc & Basheer M. Khumawala, 1977. "An Efficient Branch and Bound Algorithm for the Capacitated Warehouse Location Problem," Management Science, INFORMS, vol. 23(6), pages 585-594, February.
    8. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
    9. Domschke, Wolfgang & Drexl, Andreas, 1985. "ADD-heuristics' starting procedures for capacitated plant location models," European Journal of Operational Research, Elsevier, vol. 21(1), pages 47-53, July.
    10. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    11. Minghe Sun, 2006. "A primogenitary linked quad tree data structure and its application to discrete multiple criteria optimization," Annals of Operations Research, Springer, vol. 147(1), pages 87-107, October.
    12. Graciano Sá, 1969. "Branch-and-Bound and Approximate Solutions to the Capacitated Plant-Location Problem," Operations Research, INFORMS, vol. 17(6), pages 1005-1016, December.
    13. Domschke, Wolfgang & Drexl, Andreas, 1985. "ADD – heuristics' starting procedures for capacitated plant location models," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 39287, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    14. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    15. Carlton, William B. & Barnes, J. Wesley, 1996. "A note on hashing functions and tabu search algorithms," European Journal of Operational Research, Elsevier, vol. 95(1), pages 237-239, November.
    16. Minghe Sun, 2007. "A Primogenitary Linked Quad Tree Approach for Solution Storage and Retrieval in Heuristic Binary Optimization," Working Papers 0009, College of Business, University of Texas at San Antonio.
    17. Grolimund, Stephan & Ganascia, Jean-Gabriel, 1997. "Driving Tabu Search with case-based reasoning," European Journal of Operational Research, Elsevier, vol. 103(2), pages 326-338, December.
    18. Cornuejols, G. & Sridharan, R. & Thizy, J. M., 1991. "A comparison of heuristics and relaxations for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 50(3), pages 280-297, February.
    19. Jacobsen, Soren Kruse, 1983. "Heuristics for the capacitated plant location model," European Journal of Operational Research, Elsevier, vol. 12(3), pages 253-261, March.
    20. Tuzun, Dilek & Burke, Laura I., 1999. "A two-phase tabu search approach to the location routing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 87-99, July.
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    More about this item

    Keywords

    Capacitated facility location; Tabu search; Metaheuristics;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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