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On models for continuous facility location with partial coverage

Jack Brimberg, Henrik Juel, Mark-Christoph Korner and Anita Schöbel
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Jack Brimberg: 1] Royal Military College of Canada, Kingston, Ontario, Canada[2] Groupe d'Études et de Recherche en Analyse des Décisions, Montreal, Quebec, Canada
Henrik Juel: Technical University of Denmark, Lyngby, Denmark
Mark-Christoph Korner: Georg-August-Universitat Gottingen, Gottingen, Germany
Anita Schöbel: Georg-August-Universitat Gottingen, Gottingen, Germany

Journal of the Operational Research Society, 2015, vol. 66, issue 1, 33-43

Abstract: This paper presents a new concept of partial coverage distance, where demand points within a given threshold distance of a new facility are covered in the traditional sense, while non-covered demand points are penalized an amount proportional to their distance to the covered region. Two single facility location models, based on the minisum and minimax criteria, are formulated with the new distance function, and the structure of the models is analysed.

Date: 2015
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