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Locating Facilities on the Manhattan Metric with Arbitrarily Shaped Barriers and Convex Forbidden Regions

Author

Listed:
  • Rajan Batta

    (State University of New York at Buffalo, Buffalo, New York 14260)

  • Anjan Ghose

    (NEC America (RNT), San Jose, California 95134)

  • Udatta S. Palekar

    (University of Illinois at Urbana-Champaign, Urbana, Illinois 61801)

Abstract

This paper considers two planar facility location problems while employing the Manhattan travel metric. We first consider the p -median problem in the presence of arbitrarily shaped barriers and convex forbidden regions. For this problem we establish that the search for an optimal solution can be restricted to a finite set of easily identifiable points. Next, we consider the stochastic queue median problem in the presence of arbitrarily shaped barriers. A procedure to obtain a global optimum solution for this problem is established. The results of the paper are illustrated via numerical examples. Finally, we comment on a connection between network location problems and planar location problems which use the Manhattan travel metric.

Suggested Citation

  • Rajan Batta & Anjan Ghose & Udatta S. Palekar, 1989. "Locating Facilities on the Manhattan Metric with Arbitrarily Shaped Barriers and Convex Forbidden Regions," Transportation Science, INFORMS, vol. 23(1), pages 26-36, February.
    • Handle: RePEc:inm:ortrsc:v:23:y:1989:i:1:p:26-36
    DOI: 10.1287/trsc.23.1.26
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