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Analysis of the Roles of Selection and Mutation

HUO Hong wei,XU Jin,BAO Zheng(Electronic and Engineering Institute ,Xidian University,Xi’an 710017,China)  
This paper is to study genetic algorithm in the unified framework of stochastic processes in continuous space.The evolutionary processes of the probability density of the population in continuous space is analyzed and the recursive formulas of the probability density of the population are derived.The basic properties associated with selection and mutation are analyzed.Sufficient condition for monotonous increase of the average fitness converging to the global maximum value is derived.These conclusions provide a basis in theory for the adaptive mutation operator and the convergence of genetic algorithm to the global optimal solution.
【Fund】: 国家自然科学基金!(No .6960 1 0 0 3)
【CateGory Index】: TP18
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