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Bee colony optimization for the $$p$$-center problem. (English) Zbl 1208.90103
Summary: Bee colony optimization (BCO) is a relatively new meta-heuristic designed to deal with hard combinatorial optimization problems. It is biologically inspired method that explores collective intelligence applied by the honey bees during nectar collecting process. In this paper we apply BCO to the $$p$$-center problem in the case of symmetric distance matrix. On the contrary to the constructive variant of the BCO algorithm used in recent literature, we propose variant of BCO based on the improvement concept (BCOi). The BCOi has not been significantly used in the relevant BCO literature so far. In this paper it is proved that BCOi can be a very useful concept for solving difficult combinatorial problems. The numerical experiments performed on well-known benchmark problems show that the BCOi is competitive with other methods and it can generate high-quality solutions within negligible CPU times.

##### MSC:
 90B80 Discrete location and assignment 90C59 Approximation methods and heuristics in mathematical programming 90C35 Programming involving graphs or networks 68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.)
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