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用于全局优化的一种新辅助函数及其性质
A Novel Auxiliary Function and Its Properties for Global Optimization
【摘要】 从填充函数法的思想出发,基于启发式想法,提出了一种基于两阶段变换目标函数,进而用于全局优化的新辅助函数法,对新辅助函数的性质和其中的参数进行了理论分析.数值实验表明,与其他辅助函数优化方法相比,新方法放松了对参数的约束,收敛速度更快,解的精度更高.
【Abstract】 Starting from the thought of filled function and basing on the heuristic idea,a kind of objective functions based on two-phase transformation is proposed.Furthermore,a novel auxiliary function for global optimization is put forward.The properties and the parameters of the presented function are analyzed theoretically.In comparison with the other optimization methods for auxiliary function,the proposed approach relaxes the constraint for parameters.Moreover,numerical experiments show that proposed method can achieve faster convergence speed and higher accuracy of the solutions.
【关键词】 全局优化;
新辅助函数;
填充函数;
【Key words】 global optimization; novel auxiliary function; filled function;
【Key words】 global optimization; novel auxiliary function; filled function;
【基金】 河北省社会科学基金资助项目(HB10XGL095);国家自然科学基金资助项目(60903089)
- 【文献出处】 河北大学学报(自然科学版) ,Journal of Hebei University(Natural Science Edition) , 编辑部邮箱 ,2011年01期
- 【分类号】O224
- 【被引频次】1
- 【下载频次】104