离散时间单重休假两部件并联可修系统的可靠性分析

余玅妙;唐应辉;陈胜兰

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (5) : 617-629.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (5) : 617-629. DOI: 10.12341/jssms08400
论文

离散时间单重休假两部件并联可修系统的可靠性分析

    余玅妙(1), 唐应辉(2), 陈胜兰(3)

作者信息 +

Reliability Analysis of Discrete Time Two-Unit Parallel Repairable System with Single Vacation

    YU Miaomiao(1), TANG Yinghui(2), CHEN Shenglan(3)
Author information +
文章历史 +

摘要

利用离散向量Markov过程方法研究了离散时间单重休假两同型部件并联可修系统.在部件寿命服从几何分布,修理时间和修理工休假时间服从一般离散型概率分布的假定下,引入修理时间和休假时间尾概率,求得了系统的稳态可用度、稳态故障频度、待修概率、修理工空闲概率和休假概率,
以及首次故障前平均时间等可靠性指标.并通过具体数值实例展示了离散向量马氏链状态转移频度的具体计算方法.

Abstract

By applying the discrete vector Markov process method, a discrete time two-unit parallel repairable system with single vacation is studied in this paper. Under the assumption that life time has an geometric distribution, while the repair time and
the vacation time have general discrete probability distributions, through introducing the tail probabilities of the repair time and the vacation time, the steady-state availability, the steady-state failure frequency, the probability of waiting repair, the probability of repairman's idle state, the probability of vacation state and the mean time to first failure are obtained.

关键词

单重休假 / 并联可修系统 / 离散向量Markov过程方法 / 可靠性指标.

Key words

Single vacation / parallel repairable system / the method for discrete vector Markov process / reliability indices.

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余玅妙 , 唐应辉 , 陈胜兰. 离散时间单重休假两部件并联可修系统的可靠性分析. 系统科学与数学, 2009, 29(5): 617-629. https://doi.org/10.12341/jssms08400
YU Miaomiao , TANG Yinghui , CHEN Shenglan. Reliability Analysis of Discrete Time Two-Unit Parallel Repairable System with Single Vacation. Journal of Systems Science and Mathematical Sciences, 2009, 29(5): 617-629 https://doi.org/10.12341/jssms08400
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