{"title":"On the optimal linear time-variant control of linear production-inventory systems","authors":"G.J. Gaalman","doi":"10.1016/0377-841X(79)90030-5","DOIUrl":null,"url":null,"abstract":"<div><p>An optimal linear time-invariant control policy and an optimal linear time-variant control policy are developed to control a general linear stochastic production-inventory system with non-quadratic costs per period. The two policies are compared and the time-variant policy turns out to be better. Solution techniques are discussed and first-order necessary conditions are given.</p></div>","PeriodicalId":100475,"journal":{"name":"Engineering and Process Economics","volume":"4 2","pages":"Pages 147-163"},"PeriodicalIF":0.0000,"publicationDate":"1979-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0377-841X(79)90030-5","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering and Process Economics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0377841X79900305","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
An optimal linear time-invariant control policy and an optimal linear time-variant control policy are developed to control a general linear stochastic production-inventory system with non-quadratic costs per period. The two policies are compared and the time-variant policy turns out to be better. Solution techniques are discussed and first-order necessary conditions are given.
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