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A short note on locating facilities on a path to minimize load range equity measure

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  • Rongbing Huang

    (York University)

Abstract

This work considers the problem of locating $$p$$ p facilities on the nodes of a path such that the range of the weights assigned to facilities will be as small as possible. We present a polynomial progressive search algorithm to solve the problem.

Suggested Citation

  • Rongbing Huang, 2016. "A short note on locating facilities on a path to minimize load range equity measure," Annals of Operations Research, Springer, vol. 246(1), pages 363-369, November.
    • Handle: RePEc:spr:annopr:v:246:y:2016:i:1:d:10.1007_s10479-014-1617-3
    DOI: 10.1007/s10479-014-1617-3
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    References listed on IDEAS

    as
    1. Opher Baron & Oded Berman & Dmitry Krass, 2008. "Facility Location with Stochastic Demand and Constraints on Waiting Time," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 484-505, August.
    2. Drezner, Z. & Thisse, J.-F. & Wesolowsky, G.O., 1986. "The minimax-min location problem," LIDAM Reprints CORE 677, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Włodzimierz Ogryczak, 2009. "Inequality measures and equitable locations," Annals of Operations Research, Springer, vol. 167(1), pages 61-86, March.
    4. Marsh, Michael T. & Schilling, David A., 1994. "Equity measurement in facility location analysis: A review and framework," European Journal of Operational Research, Elsevier, vol. 74(1), pages 1-17, April.
    5. Cavalier, Tom M. & Conner, Whitney A. & del Castillo, Enrique & Brown, Stuart I., 2007. "A heuristic algorithm for minimax sensor location in the plane," European Journal of Operational Research, Elsevier, vol. 183(1), pages 42-55, November.
    6. Oded Berman & Zvi Drezner & Arie Tamir & George Wesolowsky, 2009. "Optimal location with equitable loads," Annals of Operations Research, Springer, vol. 167(1), pages 307-325, March.
    7. Baron, Opher & Berman, Oded & Krass, Dmitry & Wang, Qian, 2007. "The equitable location problem on the plane," European Journal of Operational Research, Elsevier, vol. 183(2), pages 578-590, December.
    8. Suzuki, Atsuo & Drezner, Zvi, 2009. "The minimum equitable radius location problem with continuous demand," European Journal of Operational Research, Elsevier, vol. 195(1), pages 17-30, May.
    Full references (including those not matched with items on IDEAS)

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