Locating two obnoxious facilities using the weighted maximin criterion

  • Authors:
  • Arie Tamir

  • Affiliations:
  • Department of Statistics and Operations Research, School of Mathematical Sciences, Tel Aviv University, Ramat-Aviv, 69978 Tel-Aviv, Israel

  • Venue:
  • Operations Research Letters
  • Year:
  • 2006

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Abstract

Given are a finite set of points P and a compact polygonal set S in R^2. 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.