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An exact algorithm for the capacitated vertex \(p\)-center problem. (English) Zbl 1126.90039
Summary: We develop a simple and practical exact algorithm for the problem of locating \(p\) facilities and assigning clients to them within capacity restrictions in order to minimize the maximum distance between a client and the facility to which it is assigned (capacitated \(p\)-center). The algorithm iteratively sets a maximum distance value within which it tries to assign all clients, and thus solves bin-packing or capacitated concentrator location subproblems using off-the-shelf optimization software. Computational experiments yield promising results.

90B80 Discrete location and assignment
90C10 Integer programming
90C90 Applications of mathematical programming
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