全局优化问题的无参数填充函数法  

Parameter-free Filled Function Method for the Global Optimization Problems

作　　者：王鹏[1] 李博[1] 王攀[1] 

机构地区：[1]青岛科技大学数理学院,山东青岛266061

出　　处：《青岛科技大学学报（自然科学版）》2008年第6期553-556,共4页Journal of Qingdao University of Science and Technology:Natural Science Edition

摘　　要：通过对全局优化问题的填充函数算法的研究,克服了填充函数P(x,x*,γ,ρ)和P(x,x*)存在的缺陷,构造了2个连续的无参数填充函数W(x,x*)和-W(x,x*),并证明了它们满足填充函数的定义。数值试验的结果表明,新的填充函数算法对于求解全局优化问题是有效的。The filled function method for the defects of the filled functions P（x,x^＊ ,γ,ρ） global optimization problems is studied. The and P（x,x^＊ ） are overcome. Two continuous parameter-free filled functions W（x,x^＊ ） and W（x,x^＊ ） are constructed. They are proved that they satisfy the definition of filled function. Numerical test results show that the new filled function algorithm is effective for solving global optimization.

关 键 词：全局优化 填充函数 局部极小点 全局极小点 

分 类 号：O159[理学—数学]