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Lagrangean duals and exact solution to the capacitated \(p\)-center problem. (English) Zbl 1177.90241
Summary: We address the capacitated \(p\)-center problem \((CpCP)\). We study two auxiliary problems, discuss their relation to \(CpCP\), and analyze the lower bounds obtained with two different Lagrangean duals based on each of these auxiliary problems. We also compare two different strategies for solving exactly \(CpCP\), based on binary search and sequential search, respectively. Various data sets from the literature have been used for evaluating the performance of the proposed algorithms.

90B80 Discrete location and assignment
90C10 Integer programming
Full Text: DOI
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