{"title":"两阶段生产和库存模型的稳定性","authors":"Knut Richter, Josef Vörös","doi":"10.1016/0167-188X(90)90010-F","DOIUrl":null,"url":null,"abstract":"<div><p>The serial assembly model is considered. The problem is formulated to find sets of cost inputs for which solutions found by a recursion procedure remain valid. For simplicity a solution of this problem is provided for the two-stage problem. The paper shows that the stability region of cost inputs forms a convex cone in <strong>R</strong><sup>4</sup> and consists of a system of linear inequalities. An algorithm is provided to compute the parameters of this cone and several cases of changing only two parameters are displayed graphically.</p></div>","PeriodicalId":100476,"journal":{"name":"Engineering Costs and Production Economics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1990-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0167-188X(90)90010-F","citationCount":"2","resultStr":"{\"title\":\"Stability of a two-stage production and inventory model\",\"authors\":\"Knut Richter, Josef Vörös\",\"doi\":\"10.1016/0167-188X(90)90010-F\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The serial assembly model is considered. The problem is formulated to find sets of cost inputs for which solutions found by a recursion procedure remain valid. For simplicity a solution of this problem is provided for the two-stage problem. The paper shows that the stability region of cost inputs forms a convex cone in <strong>R</strong><sup>4</sup> and consists of a system of linear inequalities. An algorithm is provided to compute the parameters of this cone and several cases of changing only two parameters are displayed graphically.</p></div>\",\"PeriodicalId\":100476,\"journal\":{\"name\":\"Engineering Costs and Production Economics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0167-188X(90)90010-F\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Costs and Production Economics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0167188X9090010F\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Costs and Production Economics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0167188X9090010F","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability of a two-stage production and inventory model
The serial assembly model is considered. The problem is formulated to find sets of cost inputs for which solutions found by a recursion procedure remain valid. For simplicity a solution of this problem is provided for the two-stage problem. The paper shows that the stability region of cost inputs forms a convex cone in R4 and consists of a system of linear inequalities. An algorithm is provided to compute the parameters of this cone and several cases of changing only two parameters are displayed graphically.
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