超球面上の連続散逸系カオスを用いた制約条件付き大域的最適化 Global Optimization Constrained on the Hypersphere by Using Continuous Dissipative Chaos
Optimization methods by using chaos dynamics are interesting as a class of global optimization methods by which the global minimum can be obtained without trapping in local minima. The chaos dynamics are classified into discretized gradient models and continuous dissipative models with a nonlinear damping term. In this paper, optimization problems with hyperspherical constraints are considered in order to present nonlinear dissipative dynamics embedded in their constraints. As the nonlinear dissipative dynamics, Fujita-Yasuda’s Model<sup>(2)</sup> and Tani’s Model<sup>(3)</sup> are adopted. Especially, their revised models are proposed newly for the hyperspherical constraints. The numerical simulations for a few constrained optimization problems demonstrate effectiveness of presented constrained global optimization methods.
- 電気学会論文誌. C, 電子・情報・システム部門誌 = The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society
電気学会論文誌. C, 電子・情報・システム部門誌 = The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society 124(9), 1888-1895, 2004-09-01