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p-Center Problems

In: Location Science

Author

Listed:
  • Hatice Çalık

    (KU Leuven, Department of Computer Science, CODeS)

  • Martine Labbé

    (Université Libre de Bruxelles, Department of Computer Science
    Inria Lille-Nord Europe)

  • Hande Yaman

    (ORSTAT, KU Leuven, Faculty of Economics and Business
    Bilkent University, Department of Industrial Engineering)

Abstract

A p-center is a minimax solution that consists of a set of p points minimizing the maximum distance between a demand point and a closest point belonging to that set. We present different variants of this 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 Çalık & Martine Labbé & Hande Yaman, 2019. "p-Center Problems," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 2, chapter 0, pages 51-65, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-32177-2_3
    DOI: 10.1007/978-3-030-32177-2_3
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