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Continuous covering and cooperative covering problems with a general decay function on networks

Author

Listed:
  • O Berman

    (University of Toronto, Toronto, Canada)

  • Z Drezner

    (California State University-Fullerton, Fullerton, USA)

  • D Krass

    (University of Toronto, Toronto, Canada)

Abstract

A cooperative covering location problem anywhere on the networks is analysed. Each facility emits a signal that decays by the distance along the arcs of the network and each node observes the total signal emitted by all facilities. A node is covered if its cumulative signal exceeds a given threshold. The cooperative approach differs from traditional covering models where the signal from the closest facility determines whether or not a point is covered. The objective is to maximize coverage by the best location of facilities anywhere on the network. The problems are formulated and analysed. Optimal algorithms for one or two facilities are proposed. Heuristic algorithms are proposed for location of more than two facilities. Extensive computational experiments are reported.

Suggested Citation

  • O Berman & Z Drezner & D Krass, 2013. "Continuous covering and cooperative covering problems with a general decay function on networks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(11), pages 1644-1653, November.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:11:p:1644-1653
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    Cited by:

    1. Tammy Drezner & Zvi Drezner, 2019. "Cooperative Cover of Uniform Demand," Networks and Spatial Economics, Springer, vol. 19(3), pages 819-831, September.
    2. Blanquero, Rafael & Carrizosa, Emilio & G.-Tóth, Boglárka, 2016. "Maximal Covering Location Problems on networks with regional demand," Omega, Elsevier, vol. 64(C), pages 77-85.

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