Discrete cooperative covering problems

O Berman, Z Drezner and D Krass
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O Berman: University of Toronto, Toronto, Canada
Z Drezner: California State University-Fullerton, Fullerton, USA
D Krass: University of Toronto, Toronto, Canada

Journal of the Operational Research Society, 2011, vol. 62, issue 11, 2002-2012

Abstract: A family of discrete cooperative covering problems is analysed in this paper. Each facility emits a signal that decays by the distance and each demand point observes the total signal emitted by all facilities. A demand point is covered if its cumulative signal exceeds a given threshold. We wish to maximize coverage by selecting locations for p facilities from a given set of potential sites. Two other problems that can be solved by the max-cover approach are the equivalents to set covering and p-centre problems. The problems are formulated, analysed and solved on networks. Optimal and heuristic algorithms are proposed and extensive computational experiments reported.

Date: 2011
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