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Large-scale local search heuristics for the capacitated vertex \(p\)-center problem. (English) Zbl 1053.90085
Summary: This article investigates the application of very large neighborhood search techniques for solving the capacitated vertex \(p\)-center problem. We characterize a local search neighborhood in terms of path and cyclic exchanges of customers among facilities, and exploit principles borrowed from network optimization theory to efficiently detect cost-decreasing solutions in such a neighborhood. We complement the multiexchange methodology with a relocation mechanism specifically designed to perform facility location adjustments. The validity of the proposed approach is supported by empirical investigation and performance comparisons with the commercial code CPLEX.

MSC:
90B80 Discrete location and assignment
90C06 Large-scale problems in mathematical programming
90C59 Approximation methods and heuristics in mathematical programming
Software:
OR-Library; CPLEX
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