{"title":"On Multi-Server Stochastic Scheduling","authors":"K. D. Glazebrook, P. Nash","doi":"10.1111/j.2517-6161.1976.tb01568.x","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>Several 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, probably constant, and the lifetime of each component is described by a probability distribution. After a certain number of component failures, there will not be enough components remaining to operate the machine. The problem is considered of how to use the available components to postpone this occurrence for as long as possible. The Lady's Nylon Stocking Problem of Cox is solved for certain classes of lifetime distribution.</p>\n </div>","PeriodicalId":49982,"journal":{"name":"Journal of the Royal Statistical Society Series B-Statistical Methodology","volume":"38 1","pages":"67-72"},"PeriodicalIF":3.1000,"publicationDate":"1976-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1111/j.2517-6161.1976.tb01568.x","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Royal Statistical Society Series B-Statistical Methodology","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/j.2517-6161.1976.tb01568.x","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 7
Abstract
Several 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, probably constant, and the lifetime of each component is described by a probability distribution. After a certain number of component failures, there will not be enough components remaining to operate the machine. The problem is considered of how to use the available components to postpone this occurrence for as long as possible. The Lady's Nylon Stocking Problem of Cox is solved for certain classes of lifetime distribution.
期刊介绍：
Series B (Statistical Methodology) aims to publish high quality papers on the methodological aspects of statistics and data science more broadly. The objective of papers should be to contribute to the understanding of statistical methodology and/or to develop and improve statistical methods; any mathematical theory should be directed towards these aims. The kinds of contribution considered include descriptions of new methods of collecting or analysing data, with the underlying theory, an indication of the scope of application and preferably a real example. Also considered are comparisons, critical evaluations and new applications of existing methods, contributions to probability theory which have a clear practical bearing (including the formulation and analysis of stochastic models), statistical computation or simulation where original methodology is involved and original contributions to the foundations of statistical science. Reviews of methodological techniques are also considered. A paper, even if correct and well presented, is likely to be rejected if it only presents straightforward special cases of previously published work, if it is of mathematical interest only, if it is too long in relation to the importance of the new material that it contains or if it is dominated by computations or simulations of a routine nature.
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