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A Minimax Location Problem on a Network

Author

Listed:
  • P. M. Dearing

    (Cornell University, Ithaca, New York)

  • R. L. Francis

    (The University of Florida, Gainesville, Florida)

Abstract

We consider a network model of a system of transportation links, with nodes representing locations of existing facilities, and study the problem of finding a new facility location on the network that minimizes the maximum of linear increasing functions of the “network distances” between the new facility and the existing facilities. The problem is formulated with respect to a metric space which is defined on the network, and a number of properties of the problem are developed. The properties lead to a new, simple algorithm for solving the problem when the network is a tree, and to a new, equivalent spanning tree problem for a general network.

Suggested Citation

  • P. M. Dearing & R. L. Francis, 1974. "A Minimax Location Problem on a Network," Transportation Science, INFORMS, vol. 8(4), pages 333-343, November.
    • Handle: RePEc:inm:ortrsc:v:8:y:1974:i:4:p:333-343
    DOI: 10.1287/trsc.8.4.333
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    Cited by:

    1. D K Kulshrestha & T W Sag, 1984. "Extensions of the k-Elliptic Optimization Approach and a Computer Method for Location Decision," Environment and Planning A, , vol. 16(9), pages 1181-1195, September.
    2. Maksim Barketau & Erwin Pesch, 2016. "An approximation algorithm for a special case of the asymmetric travelling salesman problem," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4205-4212, July.
    3. Polten, Lukas & Emde, Simon, 2022. "Multi-shuttle crane scheduling in automated storage and retrieval systems," European Journal of Operational Research, Elsevier, vol. 302(3), pages 892-908.
    4. Nikolai Krivulin, 2017. "Using tropical optimization to solve constrained minimax single-facility location problems with rectilinear distance," Computational Management Science, Springer, vol. 14(4), pages 493-518, October.

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