{"title":"Equivalent Reformulations of Generalized Semi-infinite Min-Max Programming","authors":"Jinchuan Zhou, Mei-xia Li, Wenling Zhao, Xiuhua Xu","doi":"10.1109/CCCM.2008.196","DOIUrl":null,"url":null,"abstract":"New equivalent reformulations of generalized semi-infinite min-max programming (GSMMP) is derived by addressing the perturbed problem of the lower-level programming. Based on these, we obtain an exact penalty representations for the lower-level programming, which allows us to convert (GSSMP) into the standard semi-infinite programming problems (SMMP) via a class of exact penalty functions, including not only the function used in [9] but also some smooth exact penalty functions as special cases.This fact makes it possible to solve (GSMMP) by using any available standard semi-infinite optimization algorithms.","PeriodicalId":326534,"journal":{"name":"2008 ISECS International Colloquium on Computing, Communication, Control, and Management","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 ISECS International Colloquium on Computing, Communication, Control, and Management","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCCM.2008.196","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
New equivalent reformulations of generalized semi-infinite min-max programming (GSMMP) is derived by addressing the perturbed problem of the lower-level programming. Based on these, we obtain an exact penalty representations for the lower-level programming, which allows us to convert (GSSMP) into the standard semi-infinite programming problems (SMMP) via a class of exact penalty functions, including not only the function used in [9] but also some smooth exact penalty functions as special cases.This fact makes it possible to solve (GSMMP) by using any available standard semi-infinite optimization algorithms.
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