320 最適設計のためのボロノイ図による適応的累積関数近似法 : 続報 : 2 次近似による局所情報の表現とその効果

概要

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This paper proposes a cumulative function approximation method based on Voronoi diagram for engineering optimization. It consists of a function approximation by blending quadratic approximation of local information at sample points based on the spatial structure of Voronoi diagram, an estimation method of function gradients and Hessian, and an integrated optimization scheme over approximated functions. The algorithm can gradually improve the fidelity of optimal solution by adaptively arranging new samples and cumulatively updating approximations based on tentative optimization results. After describing the approximation method and optimization scheme, this paper shows an optimization example of a two-dimensional problem to ascertain its effectiveness.
社団法人日本機械学会の論文