Unification of Filled Function and Tunnelling Function in Global Optimization

被引:2
作者
Wei Wang Department of MathematicsEast China University of Science and TechnologyShanghaiChinaYongjian Yang Liansheng Zhang Department of MathematicsShanghai UniversityShanghaiChina [200237 ,200444 ]
机构
关键词
Nonlinear programming; global optimization; filled function; tunnelling function; unification;
D O I
暂无
中图分类号
O221.2 [非线性规划];
学科分类号
070105 ; 1201 ;
摘要
<正> In this paper,two auxiliary functions for global optimization are proposed.These two auxiliaryfunctions possess all characters of tunnelling functions and filled functions under certain general assumptions.Thus,they can be considered as the unification of filled function and tunnelling function.Moreover,the processof tunneling or filling for global optimization can be unified as the minimization of such auxiliary functions.Result of numerical experiments shows that such two auxiliary functions are effective.
引用
收藏
页码:59 / 66
页数:8
相关论文
共 5 条
[1]   A new filled function method for global optimization [J].
Zhang, LS ;
Ng, CK ;
Li, DA ;
Tian, WW .
JOURNAL OF GLOBAL OPTIMIZATION, 2004, 28 (01) :17-43
[2]   New classes of globally convexized filled functions for global optimization [J].
Lucidi, S ;
Piccialli, V .
JOURNAL OF GLOBAL OPTIMIZATION, 2002, 24 (02) :219-236
[3]  
Revised filled function methods for global optimization[J] . Qiaoming Han,Jiye Han.Applied Mathematics and Computation . 2001 (2)
[4]   Finding global minima with a computable filled function [J].
Liu, X .
JOURNAL OF GLOBAL OPTIMIZATION, 2001, 19 (02) :151-161
[5]   A CLASS OF FILLED FUNCTIONS FOR FINDING GLOBAL MINIMIZERS OF A FUNCTION OF SEVERAL-VARIABLES [J].
GE, RP ;
QIN, YF .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 54 (02) :241-252