{"title":"What is Optimization","authors":"J. Arora, S. A. Burns, Min Huang","doi":"10.1061/9780784402207.CH01","DOIUrl":null,"url":null,"abstract":"Basic concepts of optimization are described using design of a plate girder as an example. First, a way to formulate the problem as an optimization problem is presented. Then basic terminologies and concepts are presented using the graphical optimization procedure. Optimality conditions are explained and basic ideas of iterative optimization methods are presented. It is shown that once the optimization problem is formulated, numerical methods are available to solve the problem and study the effects of variations in various parameters and conditions. This way, the optimization methodology is viewed as a basic framework facilitating computerization of the design process.","PeriodicalId":265945,"journal":{"name":"Structural Engineering in Natural Hazards Mitigation","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Structural Engineering in Natural Hazards Mitigation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1061/9780784402207.CH01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
Basic concepts of optimization are described using design of a plate girder as an example. First, a way to formulate the problem as an optimization problem is presented. Then basic terminologies and concepts are presented using the graphical optimization procedure. Optimality conditions are explained and basic ideas of iterative optimization methods are presented. It is shown that once the optimization problem is formulated, numerical methods are available to solve the problem and study the effects of variations in various parameters and conditions. This way, the optimization methodology is viewed as a basic framework facilitating computerization of the design process.
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