1. A Localization Theorem for Optimal Facility Placement.
- Author
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Goldman, A. J. and Witzgall, C. J.
- Subjects
- *
LOCALIZATION theory , *OPTIMAL designs (Statistics) , *DISTANCES , *CONSUMERS , *STATISTICAL hypothesis testing , *FACILITY management , *MATHEMATICS , *MATHEMATICAL analysis - 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. [ABSTRACT FROM AUTHOR]
- Published
- 1970
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