非線形ダイナミカルシステムの理論を用いた複数局所最適解探索手法

概要

論文の詳細を見る
This paper presents a systematic and efficient search method for obtaining multiple local optimal solutions based on the stability theory of nonlinear dynamical systems. The method consists of two steps. The first step is a local search step for obtaining a local optimal solution. The second step is a search step for escaping from the stability region of the obtained local optimal solution via a decomposition point. Identifying the decomposition point must be a challenge task for the method. In this paper, bifurcations and a continuation method are applied for obtaining the decomposition point. For the purpose of illustrating the proposed method, well-known test functions including high dimensional functions are applied and the numerical results show the effectiveness of the proposed method.
社団法人電気学会の論文
2007-07-01