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Variable neighborhood search. (English) Zbl 0889.90119
Summary: Systematic change of neighborhood within a local search algorithm yields a simple and effective metaheuristic for combinatorial optimization. We present a basic scheme for this purpose which can be implemented easily using any local search algorithm as a subroutine. Its effectiveness is illustrated by improvements in the GENIUS algorithm for the traveling salesman problem, without and with backhauls.

MSC:
90C27 Combinatorial optimization
90-08 Computational methods for problems pertaining to operations research and mathematical programming
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