{"title":"An Optimal Strategy in Multi-server Stochastic Scheduling","authors":"R. Weber, P. Nash","doi":"10.1111/J.2517-6161.1978.TB01045.X","DOIUrl":null,"url":null,"abstract":"SUMMARY Identical components are available for use in a piece of machinery. The number of components needed to operate the machine is a function of time and the lifetime of each component is described by a known probability distribution. Once a certain number of components have failed there will not be enough left to operate the machine. We find a strategy which for certain lifetime distributions delays this occurrence for as long as possible.","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"72 1","pages":"322-327"},"PeriodicalIF":0.0000,"publicationDate":"1978-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the royal statistical society series b-methodological","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1111/J.2517-6161.1978.TB01045.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
SUMMARY Identical components are available for use in a piece of machinery. The number of components needed to operate the machine is a function of time and the lifetime of each component is described by a known probability distribution. Once a certain number of components have failed there will not be enough left to operate the machine. We find a strategy which for certain lifetime distributions delays this occurrence for as long as possible.
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