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Evolution algorithms in combinatorial optimization. (English) Zbl 0646.65054

The paper deals with a presentation of evolution algorithms. The replicator equation is introduced and an application to the graph partitioning problem (GPP) is given. A new generic algorithm for the traveling salesman problem is given. Numerical results are presented. In the last section the network algorithm for the GPP is applied. A number of other questions are also discussed.
Reviewer’s remark: This algorithm can be easily applied to the symmetric traveling salesman problem.
Reviewer: P.Stavre

MSC:

65K05 Numerical mathematical programming methods
90C35 Programming involving graphs or networks
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