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An Algorithm for the p -Center Problem in the Plane

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  • James Vijay

    (Clinical Systems, Shands Teaching Hospital, Gainesville, Florida)

Abstract

The problem of locating p facilities to service m demand points in a plane, such that each demand point is as close as possible to some facility, is considered. An algorithm based on geometry is given, and some computational results presented. Extensions to the weighted case, the surface of a sphere, and the rectilinear norm are also provided.

Suggested Citation

  • James Vijay, 1985. "An Algorithm for the p -Center Problem in the Plane," Transportation Science, INFORMS, vol. 19(3), pages 235-245, August.
    • Handle: RePEc:inm:ortrsc:v:19:y:1985:i:3:p:235-245
    DOI: 10.1287/trsc.19.3.235
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    Cited by:

    1. Zvi Drezner & Vladimir Marianov & George O. Wesolowsky, 2016. "Maximizing the minimum cover probability by emergency facilities," Annals of Operations Research, Springer, vol. 246(1), pages 349-362, November.
    2. Avella, P. & Benati, S. & Canovas Martinez, L. & Dalby, K. & Di Girolamo, D. & Dimitrijevic, B. & Ghiani, G. & Giannikos, I. & Guttmann, N. & Hultberg, T. H. & Fliege, J. & Marin, A. & Munoz Marquez, , 1998. "Some personal views on the current state and the future of locational analysis," European Journal of Operational Research, Elsevier, vol. 104(2), pages 269-287, January.
    3. Zvi Drezner & Pawel Kalczynski, 2017. "The continuous grey pattern problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(5), pages 469-483, May.
    4. Liu, Yanchao, 2023. "An elliptical cover problem in drone delivery network design and its solution algorithms," European Journal of Operational Research, Elsevier, vol. 304(3), pages 912-925.

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