An Optimal Strategy in Multi-Server Stochastic Scheduling

IF 3.1 1区数学 Q1 STATISTICS & PROBABILITY

Journal of the Royal Statistical Society Series B-Statistical Methodology Pub Date : 1978-07-01 DOI:10.1111/j.2517-6161.1978.tb01045.x

Richard R. Weber, Peter Nash

引用次数: 9

Abstract

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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多服务器随机调度中的一种优化策略

在一台机器中可以使用相同的部件。操作机器所需的部件数量是时间的函数，每个部件的寿命由已知的概率分布描述。一旦一定数量的部件出现故障，将没有足够的剩余部件来操作机器。我们找到了一种策略，对于某些寿命分布，可以尽可能长时间地延迟这种情况的发生。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Royal Statistical Society Series B-Statistical Methodology 数学-统计学与概率论

CiteScore

8.80

自引率

0.00%

发文量

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.