602 モードトリミング法におけるカオスによる大域的探索能力

概要

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A method for improving local optimal solutions of nonlinear programming problems by treating constraints directly, named "Modal Trimming Method, " has been proposed. In addition, it has been applied to several types of test problems, and its performance has been evaluated in terms of the global optimality of the suboptimal solutions obtained by the method. 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. In this paper, it is 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.
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