文献类型：期刊文献

英文题名：Unification of filled function and tunnelling function in global optimization

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

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

年份：2007

卷号：23

期号：1

起止页码：59

外文期刊名：ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000254931500006)】；

语种：英文

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.