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  Optimal facility location under various distance functions (1999) [7 citations — 2 self]

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by Sergei Bespamyatnikh, Klara Kedem, Michael Segal
In Proceedings of the 6th International Workshop on Algorithms and Data Structures (WADS'99
http://www.cs.ubc.ca/spider/besp/loc.ps.gz
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Abstract:

We present efficient algorithms for two problems of facility location. In both problems we want to determine the location of a single facility with respect to n given sites. In the first we seek a location that maximizes a weighted distance function between the facility and the sites, and in the second we find a location that minimizes the sum (or sum of the squares) of the distances of k of the sites from the facility. 1

Citations

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3 An efficient algorithm for an intersection problem and an application – Bhattacharya, Elgindy - 1986
3 Tamir "New results on the complexity of p-center problems – Megiddo, A - 1983
1 Sharir "Algorithms for bichromatic line segment problems and polyhedral terrains – Chazelle, Edelsbrunner, et al. - 1994