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全局优化问题的无参数填充函数法
引用本文:王鹏,李博,王攀.全局优化问题的无参数填充函数法[J].青岛化工学院学报(自然科学版),2008(6):553-556.
作者姓名:王鹏  李博  王攀
作者单位:青岛科技大学数理学院,山东青岛266061
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。

关 键 词:全局优化  填充函数  局部极小点  全局极小点

Parameter-free Filled Function Method for the Global Optimization Problems
WANG Peng,LI Bo,WANG Pan.Parameter-free Filled Function Method for the Global Optimization Problems[J].Journal of Qingdao Institute of Chemical Technology(Natural Science Edition),2008(6):553-556.
Authors:WANG Peng  LI Bo  WANG Pan
Institution:(College of Mathematics and Physics, Qingdao University of Science and Technology,Qingdao 266061,
Abstract: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.
Keywords:global optimization  filled function  local minimizer  global minimizer
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