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p-Center Problems

In: Location Science

Author

Listed:
  • Hatice Calik

    (Bilkent University
    HEC Montréal, Canada Research Chair in Logistics and Transportation)

  • Martine Labbé

    (Université Libre de Bruxelles)

  • Hande Yaman

    (Bilkent University)

Abstract

A p-center is a minimax solution that consists in a set of p points that minimizes the maximum distance between a demand point and a closest point belonging to that set. We present different variants of that problem. We review special polynomial cases, determine the complexity of the problems and present mixed integer linear programming formulations, exact algorithms and heuristics. Several extensions are also reviewed.

Suggested Citation

  • Hatice Calik & Martine Labbé & Hande Yaman, 2015. "p-Center Problems," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 79-92, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13111-5_4
    DOI: 10.1007/978-3-319-13111-5_4
    as

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