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Optimal location of a facility relative to area demands

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  • Z. Drezner
  • G. O. Weslowsky

Abstract

This paper deals with the Weber single‐facility location problem where the demands are not only points but may be areas as well. It provides an iterative procedure for solving the problem with lp distances when p > 1 (a method of obtaining the exact solution when p = 1 and distances are thus rectangular already exists). The special case where the weight densities in the areas are uniform and the areas are rectangles or circles results in a modified iterative process that is computationally much faster. This method can be extended to the simultaneous location of several facilities.

Suggested Citation

  • Z. Drezner & G. O. Weslowsky, 1980. "Optimal location of a facility relative to area demands," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(2), pages 199-206, June.
    • Handle: RePEc:wly:navlog:v:27:y:1980:i:2:p:199-206
    DOI: 10.1002/nav.3800270204
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    Cited by:

    1. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    2. Tammy Drezner & Zvi Drezner, 1997. "Replacing continuous demand with discrete demand in a competitive location model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 81-95, February.
    3. James F. Campbell, 1992. "Location‐allocation for distribution to a uniform demand with transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 635-649, August.

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