Efficient Location for a Semi-Obnoxious Facility

Yoshiaki Ohsawa () and Kazuki Tamura

Annals of Operations Research, 2003, vol. 123, issue 1, 173-188

Abstract: This paper deals with a location model for the placement of a semi-obnoxious facility in a continuous plane with the twin objectives of maximizing the distance to the nearest inhabitant and minimizing the sum of distances to all the users (or the distance to the farthest user) in a unified manner. For special cases, this formulation includes (1) elliptic maximin and rectangular minisum criteria problem, and (2) rectangular maximin and minimax criteria problem. Polynomial-time algorithms for finding the efficient set and the tradeoff curve are presented. Copyright Kluwer Academic Publishers 2003

Keywords: location; semi-obnoxious facility; efficient set; tradeoff curve; Voronoi diagram (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1026127430341

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