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On Parametric Medians of Trees

Author

Listed:
  • Erhan Erkut

    (University of Alberta, Edmonton, Alberta, Canada T6G 2R6)

  • Barbaros C. Tansel

    (Bilkent University, Department of Industrial Engineering, 06533 Bilkent, Ankara, Turkey)

Abstract

In this paper we consider the optimal location of a single facility with respect to a set of demand points on a tree network. The demands of the points to be served are dynamic and our model takes into account predictable changes in these demands. We study problems with both linear and nonlinear demand functions. We make use of the analytical properties of tree networks and sensitivity analysis, and devise efficient algorithms to construct the optimal trajectory of the parametric location problem. We also give theory that exploits the network topology.

Suggested Citation

  • Erhan Erkut & Barbaros C. Tansel, 1992. "On Parametric Medians of Trees," Transportation Science, INFORMS, vol. 26(2), pages 149-156, May.
    • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:2:p:149-156
    DOI: 10.1287/trsc.26.2.149
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    Cited by:

    1. George L. Vairaktarakis & Panagiotis Kouvelis, 1999. "Incorporation dynamic aspects and uncertainty in 1‐median location problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(2), pages 147-168, March.

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