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Effects of Adding Perturbations to Phenotypic Parameters in Genetic Algorithms for Searching Robust Solutions

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Advances in Evolutionary Computing

Part of the book series: Natural Computing Series ((NCS))

Abstract

We have proposed a scheme that extends the application of GAs to domains that require detection of robust solutions. We called this technique GAs/RS3 — GAs with a robust solution searching scheme. In the GAs/RS3, a perturbation is added to the phenotypic feature once for evaluation of an individual, thereby reducing the chance of selecting sharp peaks. We refer to this method as a single-evaluation model (SEM). In this chapter, we introduce a natural variant of this method, a multi-evaluation-model (MEM), where perturbations are given more than once for evaluation of the individual, and we offer comparative studies on their convergence property. The results showed that for the GAs/RS with SEM the population converges to robust solutions faster than with the MEM, and as the number of evaluations increases, the convergence speed decreases. We may conclude that the GAs/RS3 with the SEM is more efficient than with the MEM. We also introduced a variation of the MEM, i.e., multievaluation model keeping the worst value (MEM-W), and provided a mathematical analysis.

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Tsutsui, S., Ghosh, A. (2003). Effects of Adding Perturbations to Phenotypic Parameters in Genetic Algorithms for Searching Robust Solutions. In: Ghosh, A., Tsutsui, S. (eds) Advances in Evolutionary Computing. Natural Computing Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18965-4_13

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  • DOI: https://doi.org/10.1007/978-3-642-18965-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62386-8

  • Online ISBN: 978-3-642-18965-4

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