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Letter to the Editor---A Localization Theorem for Optimal Facility Placement

Author

Listed:
  • A. J. Goldman

    (National Bureau of Standards, Washington, D.C.)

  • C. J. Witzgall

    (Boeing Scientific Research Laboratories, Seattle, Washington)

Abstract

The problem is that of locating a facility in a region, so as to minimize the weighted sum of distances between customers and facility. This note shows that a subregion containing half or more of the total “customer-weight,” if it obeys an additional restrictive hypothesis, must include at least one optimal location for the facility. Thus the search for an optimal location can be limited to such a subregion, once identified.

Suggested Citation

  • A. J. Goldman & C. J. Witzgall, 1970. "Letter to the Editor---A Localization Theorem for Optimal Facility Placement," Transportation Science, INFORMS, vol. 4(4), pages 406-409, November.
    • Handle: RePEc:inm:ortrsc:v:4:y:1970:i:4:p:406-409
    DOI: 10.1287/trsc.4.4.406
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    Cited by:

    1. Shi, Ning-Zhong & Zheng, Shu-Rong & Guo, Jianhua, 2005. "The restricted EM algorithm under inequality restrictions on the parameters," Journal of Multivariate Analysis, Elsevier, vol. 92(1), pages 53-76, January.
    2. White, D. J., 1996. "The maximization of a function over the efficient set via a penalty function approach," European Journal of Operational Research, Elsevier, vol. 94(1), pages 143-153, October.

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