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Technical Note—Conditional Location Problems on Networks

Author

Listed:
  • Oded Berman

    (College of Management, University of Massachusetts, Harbor Campus, Boston, Massachusetts 02125)

  • David Simchi-Levi

    (Department of Industrial Engineering and Operations Research, Columbia University, New York, New York 10027)

Abstract

In this paper, we describe an algorithm to solve conditional location problems (such as the conditional p -median problem or the conditional p -center problem) on networks, where demand points are served by the closest facility whether existing or new. This algorithm requires the one-time solution of a ( p + 1)-unconditional corresponding location problem using an appropriate shortest distance matrix.

Suggested Citation

  • Oded Berman & David Simchi-Levi, 1990. "Technical Note—Conditional Location Problems on Networks," Transportation Science, INFORMS, vol. 24(1), pages 77-78, February.
    • Handle: RePEc:inm:ortrsc:v:24:y:1990:i:1:p:77-78
    DOI: 10.1287/trsc.24.1.77
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    Citations

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    Cited by:

    1. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2019. "A directional approach to gradual cover," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 70-93, April.
    2. O Berman & Z Drezner & G O Wesolowsky, 2008. "The multiple location of transfer points," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 805-811, June.
    3. Mohammad Yavari & Mohammad Mousavi-Saleh, 2021. "Restructuring hierarchical capacitated facility location problem with extended coverage radius under uncertainty," Operational Research, Springer, vol. 21(1), pages 91-138, March.
    4. Pawel Kalczynski & Zvi Drezner, 2021. "The obnoxious facilities planar p-median problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 577-593, June.
    5. Chandra Ade Irawan & Said Salhi & Zvi Drezner, 2016. "Hybrid meta-heuristics with VNS and exact methods: application to large unconditional and conditional vertex $$p$$ p -centre problems," Journal of Heuristics, Springer, vol. 22(4), pages 507-537, August.
    6. Marilène Cherkesly & Claudio Contardo, 2021. "The conditional p-dispersion problem," Journal of Global Optimization, Springer, vol. 81(1), pages 23-83, September.
    7. Tammy Drezner & Zvi Drezner, 2016. "Sequential location of two facilities: comparing random to optimal location of the first facility," Annals of Operations Research, Springer, vol. 246(1), pages 5-18, November.
    8. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2021. "Directional approach to gradual cover: the continuous case," Computational Management Science, Springer, vol. 18(1), pages 25-47, January.
    9. R. L. Francis & T. J. Lowe & Arie Tamir, 2000. "Aggregation Error Bounds for a Class of Location Models," Operations Research, INFORMS, vol. 48(2), pages 294-307, April.

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