107 モードトリミング法におけるカオス発生条件の検討と大域的探索能力の向上  [in Japanese] Investigation into Conditions for Chaos and Improvement in Capability of Global Search in Modal Trimming Method  [in Japanese]

A method for improving local optimal solutions of nonlinear programming problems by treating constraints directly, named "Modal Trimming Method, " has been proposed, and it has turned out that the method has a high possibility of deriving the global optimal solutions by the suboptimal ones for a wide range of problems. It has also been shown that the aforementioned feature, i.e., the capability of the global search for deriving the global optimal solutions, is because the renewal of solutions based on the extended Newton-Raphson method creates a chaos behavior of the solutions. In this paper, the mechanism and conditions for the chaos behavior are clarified, and a strategy for improving the capability of global search is proposed.