Locating a semi-obnoxious facility in the special case of Manhattan distances

Andrea Wagner ()
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Andrea Wagner: Vienna University of Economics and Business

Mathematical Methods of Operations Research, 2019, vol. 90, issue 2, No 5, 255-270

Abstract: Abstract The aim of this work is to locate a semi-obnoxious facility, i.e. to minimize the distances to a given set of customers in order to save transportation costs on the one hand and to avoid undesirable interactions with other facilities within the region by maximizing the distances to the corresponding facilities on the other hand. Hence, the goal is to satisfy economic and environmental issues simultaneously. Due to the contradicting character of these goals, we obtain a non-convex objective function. We assume that distances can be measured by rectilinear distances and exploit the structure of this norm to obtain a very efficient dual pair of algorithms.

Keywords: Obnoxious facility location; Global optimization; Primal and dual algorithms; Dc problems; 90B85; 90C26; 90C46 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s00186-019-00671-z

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