Incorporating Good Nodes Set Principle into Evolution Strategy for Constrained Optimization

Good nodes set (GNS) is a concept in number theory. This paper presents a method that incorporate GNS principle to enhance the crossover operator of the evolution strategy (ES) can make the resulting evolutionary algorithm more robust and statically sound. Traditional crossover operator is split into two steps. The proposed method achieves the same sound results just as the orthogonal method does, but its precision is not confined by the dimension of the space. The simplex selected and diversity mechanism is used to enrich the exploration and exploitation abilities of the approach proposed. Experiment results on a set of benchmark problems show the efficiency of the algorithm.