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Dominant, an algorithm for the \(p\)-center problem. (English) Zbl 1035.90037
Summary: In this paper we present \(Dominant\), an algorithm for the \(p\)-center problem, that is the problem of locating p facilities on a network so as to minimise the maximum distance from each customer to his nearest facility. The algorithm \(Dominant\) solves a series of set covering problems, according to a predefined maximum distance: it has four versions, two of which can solve optimally problems with up to 900 demand points. A set of 45 test problems taken from literature is solved, and results are reported.

MSC:
90B80 Discrete location and assignment
90C27 Combinatorial optimization
90C59 Approximation methods and heuristics in mathematical programming
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