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Optimum Locations of Centers in Networks

Author

Listed:
  • S. L. Hakimi

    (Northwestern University, Evanston, Illinois)

  • S. N. Maheshwari

    (Northwestern University, Evanston, Illinois)

Abstract

This paper presents a generalization of results of Hakimi and Goldman on optimum locations of centers (warehouses) in a network. This generalization is achieved by a conceptual simplification of the previous results leading to a proof of a stronger version of Goldman's conjecture.

Suggested Citation

  • S. L. Hakimi & S. N. Maheshwari, 1972. "Optimum Locations of Centers in Networks," Operations Research, INFORMS, vol. 20(5), pages 967-973, October.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:5:p:967-973
    DOI: 10.1287/opre.20.5.967
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    Citations

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    Cited by:

    1. Oded Berman & Rongbing Huang, 2007. "The Minisum Multipurpose Trip Location Problem on Networks," Transportation Science, INFORMS, vol. 41(4), pages 500-515, November.
    2. Canos, M. J. & Ivorra, C. & Liern, V., 1999. "An exact algorithm for the fuzzy p-median problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 80-86, July.
    3. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    4. Hakimi, S.Louis, 1983. "Network location theory and contingency planning," Energy, Elsevier, vol. 8(8), pages 697-702.
    5. Li, Xin & Pan, Yanchun & Jiang, Shiqiang & Huang, Qiang & Chen, Zhimin & Zhang, Mingxia & Zhang, Zuoyao, 2021. "Locate vaccination stations considering travel distance, operational cost, and work schedule," Omega, Elsevier, vol. 101(C).
    6. Canos, M. J. & Ivorra, C. & Liern, V., 2001. "The fuzzy p-median problem: A global analysis of the solutions," European Journal of Operational Research, Elsevier, vol. 130(2), pages 430-436, April.
    7. Farid Momayezi & S. Kamal Chaharsooghi & Mohammad Mehdi Sepehri & Ali Husseinzadeh Kashan, 2021. "The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm," Operational Research, Springer, vol. 21(1), pages 139-166, March.

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