{"title":"A special issue focused on superiorization versus constrained optimization: analysis and applications","authors":"T. Humphries, M. Loreto, B. Halter, W. O'Keeffe","doi":"10.23952/jano.2.2020.1.01","DOIUrl":null,"url":null,"abstract":"In many mathematical formulations of significant real-world technological or physical problems, the objective function is exogenous to the modeling process which defines the constraints. In such cases, the faith of the modeler in the usefulness of an objective function for the application at hand is limited and it is probably not worthwhile to invest a great effort in reaching an exact constrained minimum point. This is a major justification for using the superiorization method for practical applications.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"111 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Numerical Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jano.2.2020.1.01","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
In many mathematical formulations of significant real-world technological or physical problems, the objective function is exogenous to the modeling process which defines the constraints. In such cases, the faith of the modeler in the usefulness of an objective function for the application at hand is limited and it is probably not worthwhile to invest a great effort in reaching an exact constrained minimum point. This is a major justification for using the superiorization method for practical applications.