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The Asymmetric Distance Location Problem

Author

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  • Zvi Drezner

    (California State University, Fullerton, California)

  • George O. Wesolowsky

    (McMaster University, Hamilton, Ontario, Canada)

Abstract

In many situations the distance between two points is not a symmetric function; i.e., the distance from A to B is different from the distance from B to A. This is typical, for example, in rush hour traffic. We consider four models: the minisum or minimax problems with rectilinear or Euclidean distances. Efficient algorithms for the solution of these four problems are presented.

Suggested Citation

  • Zvi Drezner & George O. Wesolowsky, 1989. "The Asymmetric Distance Location Problem," Transportation Science, INFORMS, vol. 23(3), pages 201-207, August.
    • Handle: RePEc:inm:ortrsc:v:23:y:1989:i:3:p:201-207
    DOI: 10.1287/trsc.23.3.201
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    Cited by:

    1. F. Plastria & E. Carrizosa, 2001. "Gauge Distances and Median Hyperplanes," Journal of Optimization Theory and Applications, Springer, vol. 110(1), pages 173-182, July.
    2. Teitelbaum, Joshua C., 2013. "Asymmetric empirical similarity," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 346-351.
    3. Frank Plastria, 2009. "Asymmetric distances, semidirected networks and majority in Fermat–Weber problems," Annals of Operations Research, Springer, vol. 167(1), pages 121-155, March.

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