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Open AccessProceedings Article

A study of permutation crossover operators on the traveling salesman problem

I. M. Oliver, +2 more
- pp 224-230
TLDR
In this paper, 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.
Abstract
The application of Genetic Algorithms to problems which are not amenable to bit string representation and traditional crossover has been a growing area of interest. One approach has been to represent solutions by permutations of a list, and "permutation 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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