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Introducing capacities in the location of unreliable facilities. (English) Zbl 1394.90382
Summary: The goal of this paper is to introduce facility capacities into the reliability fixed-charge location problem in a sensible way. To this end, we develop and compare different models, which represent a tradeoff between the extreme models currently available in the literature, where a priori assignments are either fixed, or can be fully modified after failures occur. In a series of computational experiments we analyze the obtained solutions and study the price of introducing capacity constraints according to the alternative models both, in terms of computational burden and of solution cost.

90B80 Discrete location and assignment
90B30 Production models
90B25 Reliability, availability, maintenance, inspection in operations research
90C10 Integer programming
90C35 Programming involving graphs or networks
05C85 Graph algorithms (graph-theoretic aspects)
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