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A large-scale application of the partial coverage uncapacitated facility location problem

Author

Listed:
  • F J Vasko

    (Kutztown University
    Homer Research Laboratories, Bethlehem Steel Corporation)

  • D D Newhart

    (Homer Research Laboratories, Bethlehem Steel Corporation)

  • K L Stott

    (Homer Research Laboratories, Bethlehem Steel Corporation)

  • F E Wolf

    (Homer Research Laboratories, Bethlehem Steel Corporation)

Abstract

The traditional, uncapacitated facility location problem (UFLP) seeks to determine a set of warehouses to open such that all retail stores are serviced by a warehouse and the sum of the fixed costs of opening and operating the warehouses and the variable costs of supplying the retail stores from the opened warehouses is minimized. In this paper, we discuss the partial coverage uncapacitated facility location problem (PCUFLP) as a generalization of the uncapacitated facility location problem in which not all the retail stores must be satisfied by a warehouse. Erlenkotter's dual-ascent algorithm, DUALOC, will be used to solve optimally large (1600 stores and 13 000 candidate warehouses) real-world implemented PCUFLP applications in less than two minutes on a 500 MHz PC. Furthermore, a simple analysis of the problem input data will indicate why and when efficient solutions to large PCUFLPs can be expected.

Suggested Citation

  • F J Vasko & D D Newhart & K L Stott & F E Wolf, 2003. "A large-scale application of the partial coverage uncapacitated facility location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 11-20, January.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:1:d:10.1057_palgrave.jors.2601469
    DOI: 10.1057/palgrave.jors.2601469
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    References listed on IDEAS

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    1. David W. Pentico, 1988. "The Discrete Two-Dimensional Assortment Problem," Operations Research, INFORMS, vol. 36(2), pages 324-332, April.
    2. Éric Gourdin & Martine Labbé & Gilbert Laporte, 2000. "The Uncapacitated Facility Location Problem with Client Matching," Operations Research, INFORMS, vol. 48(5), pages 671-685, October.
    3. Robert M. Nauss & Robert E. Markland, 1981. "Theory and Application of an Optimizing Procedure for Lock Box Location Analysis," Management Science, INFORMS, vol. 27(8), pages 855-865, August.
    4. Charles S. Revelle & Gilbert Laporte, 1996. "The Plant Location Problem: New Models and Research Prospects," Operations Research, INFORMS, vol. 44(6), pages 864-874, December.
    5. Jayant R. Kalagnanam & Milind W. Dawande & Mark Trumbo & Ho Soo Lee, 2000. "The Surplus Inventory Matching Problem in the Process Industry," Operations Research, INFORMS, vol. 48(4), pages 505-516, August.
    6. C.R. Reeves, 1999. "Landscapes, operators and heuristic search," Annals of Operations Research, Springer, vol. 86(0), pages 473-490, January.
    7. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
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    Cited by:

    1. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.

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