On Multi-Server Stochastic Scheduling

K. D. Glazebrook, P. Nash
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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.

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多服务器随机调度研究
在一台机器中有几种相同的部件可供使用。操作机器所需的部件数量是时间的函数,可能是常数,每个部件的寿命用概率分布来描述。在一定数量的部件故障后,将没有足够的部件来操作机器。考虑的问题是如何使用可用的组件尽可能地推迟这种情况的发生。求解了某一类寿命分布的Cox女士尼龙长袜问题。
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来源期刊
CiteScore
8.80
自引率
0.00%
发文量
83
审稿时长
>12 weeks
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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