{"title":"目标函数图形可视化中的新概念","authors":"P. A. Simionescu, D. Beale","doi":"10.1115/DETC2002/DAC-34129","DOIUrl":null,"url":null,"abstract":"A method of inspecting the design space of multivariable objective functions is proposed. By scanning 1 or 2 of the variables at a constant step while partially minimizing or maximizing the function with respect to the remaining variables, sets of points are generated that can be fiarther used in producing 2D or 3D diagrams. A number of examples are given for showing the usefialness of the method in studying the design space of objective functions and of the constraint activity. All graphs are produced with an in-house program that allows generation of logarithmically spaced level-curve diagrams and accurately truncating fimction surfaces over the z-axis at specified heights.","PeriodicalId":132526,"journal":{"name":"Volume 2: 28th Design Automation Conference","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"New Concepts in Graphic Visualization of Objective Functions\",\"authors\":\"P. A. Simionescu, D. Beale\",\"doi\":\"10.1115/DETC2002/DAC-34129\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method of inspecting the design space of multivariable objective functions is proposed. By scanning 1 or 2 of the variables at a constant step while partially minimizing or maximizing the function with respect to the remaining variables, sets of points are generated that can be fiarther used in producing 2D or 3D diagrams. A number of examples are given for showing the usefialness of the method in studying the design space of objective functions and of the constraint activity. All graphs are produced with an in-house program that allows generation of logarithmically spaced level-curve diagrams and accurately truncating fimction surfaces over the z-axis at specified heights.\",\"PeriodicalId\":132526,\"journal\":{\"name\":\"Volume 2: 28th Design Automation Conference\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Volume 2: 28th Design Automation Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1115/DETC2002/DAC-34129\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Volume 2: 28th Design Automation Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1115/DETC2002/DAC-34129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Concepts in Graphic Visualization of Objective Functions
A method of inspecting the design space of multivariable objective functions is proposed. By scanning 1 or 2 of the variables at a constant step while partially minimizing or maximizing the function with respect to the remaining variables, sets of points are generated that can be fiarther used in producing 2D or 3D diagrams. A number of examples are given for showing the usefialness of the method in studying the design space of objective functions and of the constraint activity. All graphs are produced with an in-house program that allows generation of logarithmically spaced level-curve diagrams and accurately truncating fimction surfaces over the z-axis at specified heights.
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