{"title":"一个特别的问题集中在上级与约束优化:分析和应用","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":"{\"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}","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}
A special issue focused on superiorization versus constrained optimization: analysis and applications
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.