Abstract

The multi-recombinant  -Evolution Strategy (ES) is investigated for real-valued, N-dimensional parameter spaces. The analysis includes the intermediate recombination and the dominant recombination as well. These investigations are done for the spherical model first. The probelm of the optimal population size depending on the parameter space dimension N is solved. A method extending the results obtained for the spherical model to non-spherical success domains is presented. The power of sexuality is discussed and it is shown that this power does not mainly stem from the 'combination' of 'good properties' of the mates(building bloch hypothesis) but rather from genetic repair diminshing the influence of harmful mutations. The domainant recombination is analyzed by introduction of surrogate mutations leading to the concept of species. Conclusions for EAs including GAs are drawn.

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