A study of permutation crossover operators on the traveling salesman problem

I. M. Oliver, David J. Smith, J. R. C. Holland · international conference on Genetic algorithms · 1987

The application of Genetic Algorithms to problems which are not amenable to bit string representation and traditional has been a growing area of interest. One approach has been to represent solutions by permutations of a list, and crossover operators have been introduced to preserve legality of offspring. Three permutation crossovers are analyzed to characterize how they sample the o-schema space, and hence what type of problems they may be applicable to. Experiments performed on the Traveling Salesman Problem go some way to support the theoretical analysis.

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