A simulation study for the distribution law of relative moments of evolution

作者：Jaentschi Lorentz; Bolboaca Sorana D^*; Sestras Radu E

来源：Complexity, 2012, 17(6): 52-63.

DOI：10.1002/cplx.21403

• genetic algorithm
• evolution
• molecular descriptors family
• quantitative structure-activity relationship
• multivariate linear regression

Nine selection-survival strategies were implemented in a genetic algorithm experiment, and differences in terms of evolution were assessed. The moments of evolution (expressed as generation numbers) were recorded in a contingency of three strategies (i.e., proportional, tournament, and deterministic) for two moments (i.e., selection for crossover and mutation and survival for replacement). The experiment was conducted for the first 20,000 generations in 46 independent runs. The relative moments of evolution (where evolution was defined as a significant increase in the determination coefficient relative to the previous generation) when any selection-survival strategy was used fit a Log-Pearson type III distribution. Moreover, when distributions were compared to one another, functional relationships were identified between the population parameters, revealing a degeneration of the Log-Pearson type III distribution in a one-parametrical distribution that can be assigned to the chosen variableevolution strategy. The obtained theoretical population distribution allowed comparison of the selection-survival strategies that were used.

• 出版日期2012-8