{"title":"Asymptotic unavailability for an M-out-of-N system without testing","authors":"N.J. McCormick","doi":"10.1016/0143-8174(87)90042-4","DOIUrl":null,"url":null,"abstract":"<div><p>A simple closed form equation is presented for the asymptotic unavailability of a system consisting of N identical units of which M are required for operation. Nonoperating units can fail during standby, and at most R failed units can be under repair at any time. A Markov model is assumed, e.g. the units fail randomly and require a random time interval for repair; there are no periodic inspections or tests. The equation has useful pedagogical applications since there are six independent variables that can be changed.</p></div>","PeriodicalId":101070,"journal":{"name":"Reliability Engineering","volume":"17 3","pages":"Pages 189-191"},"PeriodicalIF":0.0000,"publicationDate":"1987-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0143-8174(87)90042-4","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reliability Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0143817487900424","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A simple closed form equation is presented for the asymptotic unavailability of a system consisting of N identical units of which M are required for operation. Nonoperating units can fail during standby, and at most R failed units can be under repair at any time. A Markov model is assumed, e.g. the units fail randomly and require a random time interval for repair; there are no periodic inspections or tests. The equation has useful pedagogical applications since there are six independent variables that can be changed.
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