文献类型：期刊文献

中文题名：Unification of Filled Function and Tunnelling Function in Global Optimization

英文题名：Unification of Filled Function and Tunnelling Function in Global Optimization

作者：Wei Wang[1];Yong-jian Yang[2];Lian-sheng Zhang[2]

机构：[1]Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China;[2]Department of Mathematics, Shanghai University, Shanghai, 200444, China

年份：2007

卷号：23

期号：1

起止页码：59

中文期刊名：Acta Mathematicae Applicatae Sinica

外文期刊名：应用数学学报（英文版）

收录：CSTPCD;;Scopus;CSCD:【CSCD2011_2012】；PubMed;

基金：Supported by the National Natural Science Foundation of China(No.70471012)

语种：英文

中文关键词：Nonlinear programming;global optimization;filled function;tunnelling function;unification

外文关键词：Nonlinear programming, global optimization, filled function, tunnelling function, unification

摘要：In this paper, two auxiliary functions for global optimization are proposed. These two auxiliary functions 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 process of 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.
In this paper, two auxiliary functions for global optimization are proposed. These two auxiliary functions 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 process of 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.