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The probabilistic \(p\)-center problem: planning service for potential customers. (English) Zbl 1375.90167
Summary: This work deals with the probabilistic \(p\)-center problem, which aims at minimizing the expected maximum distance between any site with demand and its center, considering that each site has demand with a specific probability. The problem is of interest when emergencies may occur at predefined sites with known probabilities. For this problem, we propose and analyze different formulations as well as a variable neighborhood search heuristic. Computational tests are reported, showing the potentials and limits of each formulation, the impact of their enhancements, and the effectiveness of the heuristic.

90B80 Discrete location and assignment
90C11 Mixed integer programming
Full Text: DOI
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