226 設計最適化における統計的手法の利用 : 非線形判別分析による許容領域推定とその上流設計への適用

概要

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In most of engineering optimization problems, objective functions and constraint functions are not defined in explicit and sometime satisfying all of constraints are more difficult than improving objective function due to severe requirements to the problem. On the other hand, most of optimization algorithms assume that initial design point satisfy all of constraints (feasible design) or even if it is not so, the violations of constraints are not so large. And this consideration lack of existence of feasible design often make the optimization works in failure. So, it is necessary to assess feasible region before starting optimization in such cases. We propose non-linear discriminant analysis as such an assessment method. Discriminant analysis is one of common and widely used statistical method as one of major data-mining methods.
一般社団法人日本機械学会の論文
2002-10-04