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A Round-Trip Location Problem on a Tree Graph

Author

Listed:
  • Albert W. Chan

    (University of Windsor, Windsor, Ontario, Canada)

  • Richard L. Francis

    (The University of Florida, Gainesville, Florida)

Abstract

The problem considered is to locate one new facility with respect to a finite number of pairs of existing facilities on, a tree graph, which typically represents a road network, so as to minimize the maximum cost, where cost are linear increasing functions of the round-trip distance a vehicle based at the new facility travels via a pair of existing facilities. Based on an attainable lower bound for the minimax problem, an algorithm is developed that yields all optimal solutions to the problem.

Suggested Citation

  • Albert W. Chan & Richard L. Francis, 1976. "A Round-Trip Location Problem on a Tree Graph," Transportation Science, INFORMS, vol. 10(1), pages 35-51, February.
    • Handle: RePEc:inm:ortrsc:v:10:y:1976:i:1:p:35-51
    DOI: 10.1287/trsc.10.1.35
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    Cited by:

    1. Hakimi, S.Louis, 1983. "Network location theory and contingency planning," Energy, Elsevier, vol. 8(8), pages 697-702.
    2. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.

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