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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.

90C27 Combinatorial optimization
90-08 Computational methods for problems pertaining to operations research and mathematical programming
Full Text: DOI
[1] Gendreau, M.; Hertz, A.; Laporte, G., New insertion and postoptimization procedures for the traveling salesman problem, Operations research, 40, 1086-1094, (1992) · Zbl 0767.90087
[2] Gendreau, M.; Hertz, A.; Laporte, G., The traveling salesman problem with backhauls, Computers and operations research, 23, 501-508, (1996) · Zbl 0847.90135
[3] ()
[4] Osman, I.H.; Laporte, G., Metaheuristics. A bibliography, Annals of operational research, 63, 513-628, (1996) · Zbl 0849.90097
[5] Glover, F., Tabu search-part I, ORSA journal of computing, 1, 190-206, (1989) · Zbl 0753.90054
[6] Glover, F., Tabu search-part II, ORSA journal of computing, 2, 4-32, (1990) · Zbl 0771.90084
[7] Hansen, P.; Jaumard, B., Algorithms for the maximum satisfiability problem, Computing, 44, 279-303, (1990) · Zbl 0716.68077
[8] Johnson, D.S.; McGeoch, L.A., The traveling salesman problem, a case study in local optimization, (), (to appear) · Zbl 0845.90123
[9] Bentley, J.L., Fast algorithms for geometric traveling salesman problem, ORSA journal of computing, 4, 387-411, (1992) · Zbl 0758.90071
[10] Erlenkotter, D., A dual-based procedure for uncapacitated facility location, Operations research, 26, 992-100911, (1978) · Zbl 0422.90053
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