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The m-Center Problem: Minimax Facility Location

Author

Listed:
  • R. S. Garfinkel

    (University of Tennessee)

  • A. W. Neebe

    (University of North Carolina)

  • M. R. Rao

    (University of Rochester and Indian Institute of Management, Bangalore, India)

Abstract

The m-Center Problem is to locate a given number of (emergency) facilities anywhere along a road network so as to minimize the maximum distance between these facilities and fixed demand locations assigned to them. Fundamental properties of the m-Center Problem are examined. The problem is modeled using integer programming, and is successfully attacked using a binary search technique and a combination of exact tests and heuristics. Computational results are given.

Suggested Citation

  • R. S. Garfinkel & A. W. Neebe & M. R. Rao, 1977. "The m-Center Problem: Minimax Facility Location," Management Science, INFORMS, vol. 23(10), pages 1133-1142, June.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:10:p:1133-1142
    DOI: 10.1287/mnsc.23.10.1133
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    Cited by:

    1. Bo Zhang & Jin Peng & Shengguo Li, 2021. "Minimax models for capacitated p-center problem in uncertain environment," Fuzzy Optimization and Decision Making, Springer, vol. 20(3), pages 273-292, September.
    2. Gaar, Elisabeth & Sinnl, Markus, 2022. "A scaleable projection‐based branch‐and‐cut algorithm for the p‐center problem," European Journal of Operational Research, Elsevier, vol. 303(1), pages 78-98.
    3. Elena Fernandez & Robert Garfinkel & Roman Arbiol, 1998. "Mosaicking of Aerial Photographic Maps Via Seams Defined by Bottleneck Shortest Paths," Operations Research, INFORMS, vol. 46(3), pages 293-304, June.
    4. Xiang Li & Fahui Wang & Hong Yi, 2017. "A two-step approach to planning new facilities towards equal accessibility," Environment and Planning B, , vol. 44(6), pages 994-1011, November.
    5. Bhuvnesh Sharma & M. Ramkumar & Nachiappan Subramanian & Bharat Malhotra, 2019. "Dynamic temporary blood facility location-allocation during and post-disaster periods," Annals of Operations Research, Springer, vol. 283(1), pages 705-736, December.
    6. Joseph S. Martinich, 1988. "A vertex‐closing approach to the p‐center problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 185-201, April.
    7. Berman, Oded & Sanajian, Nima & Wang, Jiamin, 2017. "Location choice and risk attitude of a decision maker," Omega, Elsevier, vol. 66(PA), pages 170-181.

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