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修理工带休假的单部件可修系统的可靠性分析
引用本文:唐应辉,刘晓云.修理工带休假的单部件可修系统的可靠性分析[J].自动化学报,2004,30(3):466-470.
作者姓名:唐应辉  刘晓云
作者单位:1.电子科技大学应用数学学院,成都;
基金项目:国家教育部首批高校骨干教师资助计划([2000]65),四川省学术与技术带头人培养基金([2001]16),电子科技大学青年科学资金(YF021102)资助~~
摘    要:考虑修理工带有单重休假的单部件可修系统,系统发生故障时可能因修理工的休假而 得不到立即修理,因此系统可处于工作、等待修理和修理三种状态.利用全概率分解技术和拉普 拉斯或拉普拉斯--司梯阶变换工具,讨论了系统的可靠度、瞬时可用度和稳态可用度,以及 (O,t]时间中系统的平均故障次数和稳态故障频度,得到了关于系统的可靠度、瞬时可用度和稳 态可用度,以及(O,t]时间中系统的平均故障次数和稳态故障频度等可靠性指标的重要结果.

关 键 词:系统    可用度    故障    修理    故障次数    故障频度
收稿时间:2003-3-18
修稿时间:2003年3月18日

Reliability Analysis of One Unit Repairable System With Repairman Vacation
TANG Ying-Hui,LIU Xiao-Yun.Reliability Analysis of One Unit Repairable System With Repairman Vacation[J].Acta Automatica Sinica,2004,30(3):466-470.
Authors:TANG Ying-Hui  LIU Xiao-Yun
Affiliation:1.College of Applied Mathematics,University of Electronic Science&Technology of China,Chengdu;College of Automation Engineering,University of Electronic Science&Technology of China,Chengdu
Abstract:This paper considers a one unit repairable systems with single repairman va-cation. If the system fails the repair starts immediately unless the repairman is in vaca-tion time, in which case a waiting repairable time is needed. So that the system may be in one of three states: the working state, the waiting repair state and the being repaired state. By using the total probability decomposition and the tool of the Laplace trans-form, the following reliability problems are discussed: 1) the reliability, pointwise a-vailability and the stead-state availability ; 2) the expected failure number during a gi-ven (0,t] and the stead-state failure frequency. Some important reliability results such as the pointwise availability and the stead-state availability are obtained.
Keywords:Availability  failure  repair  failure number  failure frequency
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