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Locating two obnoxious facilities using the weighted maximin criterion
Authors:Arie Tamir
Institution:Department of Statistics and Operations Research, School of Mathematical Sciences, Tel Aviv University, Ramat-Aviv, 69978 Tel-Aviv, Israel
Abstract:Given are a finite set of points P and a compact polygonal set S in R2. The problem is to locate two new facilities in S, maximizing the minimum of all weighted distances between the points in P and the two new facilities, and the distance between the pair of new facilities. We present subquadratic algorithms.
Keywords:Obnoxious facilities  Maximin criteria  Planar location models
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