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A Branch-and-Price algorithm for the Single Source Capacitated Plant Location Problem

Author

Listed:
  • J A Díaz

    (Universitat Politècnica de Catalunya)

  • E Fernández

    (Universitat Politècnica de Catalunya)

Abstract

This paper considers the Single Source Capacitated Plant Location Problem (SSCPLP). We propose an exact algorithm in which a column generation procedure for finding upper and lower bounds is incorporated within a Branch-and-Price framework. The bounding procedure exploits the structure of the problem by means of an iterative approach. At each iteration, a two-level optimization problem is considered. The two levels correspond with the two decisions to be taken: first, the selection of a subset of plants to be opened and then, the allocation of clients within the subset of open plants. The second level subproblem is solved using column generation. The algorithm has been tested with different sets of test problems and the obtained results are satisfactory.

Suggested Citation

  • J A Díaz & E Fernández, 2002. "A Branch-and-Price algorithm for the Single Source Capacitated Plant Location Problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(7), pages 728-740, July.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:7:d:10.1057_palgrave.jors.2601353
    DOI: 10.1057/palgrave.jors.2601353
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    Citations

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    Cited by:

    1. Cao, Dong & Chen, Mingyuan, 2006. "Capacitated plant selection in a decentralized manufacturing environment: A bilevel optimization approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 97-110, February.
    2. Alberto Ceselli & Federico Liberatore & Giovanni Righini, 2009. "A computational evaluation of a general branch-and-price framework for capacitated network location problems," Annals of Operations Research, Springer, vol. 167(1), pages 209-251, March.
    3. M Caserta & E Quiñonez Rico, 2009. "A cross entropy-based metaheuristic algorithm for large-scale capacitated facility location problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(10), pages 1439-1448, October.
    4. Samir Elhedhli & Jean-Louis Goffin, 2005. "Efficient Production-Distribution System Design," Management Science, INFORMS, vol. 51(7), pages 1151-1164, July.
    5. Weninger, Dieter & Wolsey, Laurence A., 2023. "Benders-type branch-and-cut algorithms for capacitated facility location with single-sourcing," European Journal of Operational Research, Elsevier, vol. 310(1), pages 84-99.

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