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

A. J. Goldman and C. J. Witzgall
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A. J. Goldman: National Bureau of Standards, Washington, D.C.
C. J. Witzgall: Boeing Scientific Research Laboratories, Seattle, Washington

Transportation Science, 1970, vol. 4, issue 4, 406-409

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.

Date: 1970
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:4:y:1970:i:4:p:406-409

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