408 モードトリミング法における拡張割線法によるカオス挙動と大域的探索能力(GS-1.12.14 生産システム・システム設計)

概要

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A gradient-based method for global optimization of nonlinear programming problems, named "Modal Trimming Method," has been proposed. It has been shown that the capability of global search is because the renewal of solutions based on an extended Newton-Raphson method creates a chaotic behavior of solutions. However, this method also creates periodically-vibrating behaviors, which result in a significant defect. In this paper, an extended secant method is adopted in place of or in combination with the extended Newton-Raphson method. It is shown that this strategy tends to avoid the periodically-vibrating behaviors and promote the chaotic behavior, which can enhance the capability of global search.
一般社団法人日本機械学会の論文
2004-03-17