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| Transient reliability analysis for a deteriorating series repairable system |
| YIN Ming-Ang, SUN Zhi-Li, YANG Li, WANG Jian |
| College of Mechanical Engineering & Automation， Northeastern University， Shenyang 110004， China |
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Abstract A series repairable system is one of the classical reliability models and is usually used in practice. To meet the need of practical engineering application， a repairable system consisting of two components and a single repairman was studied. We assumed that the working time distribution， the repair time distribution and the replacing repair time distribution of the system were all exponential. After repairing， the system was not “as good as new”. A repair replacement policy N under which the system was replaced when the number of failures of the system reaches N was studied. Under these assumptions， by using the geometrical process and Markov process technique， we derived explicit expression for system availability and failure times in （0，t］ by semiMarkov process and numerical integration. Finally， a numerical example for policy N is given and verified by Monte Carlo. This research provides evidence for further studies of complex mechanical system reliability．
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Published: 28 August 2013
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退化串联可修系统瞬态可靠性分析
可修串联系统是一类经典的可靠性模型，在实际工程中较为常见．为满足工程实际需求，所研究的系统由2个部件和1个维修工组成．假设工作时间、维修时间和部件更换时间均服从指数分布，在维修之后系统不能修复如新．系统采用部件故障N次之后将被更新的维修策略．在这些假设下利用几何过程和马尔科夫过程对系统进行建模，再利用半马尔科夫过程和数值积分方法给出系统瞬态可用度和（0，t］时间内故障次数的计算公式．最后给出算例并应用Monte Carlo方法对所得公式进行验证．为进一步研究复杂机械系统的可靠性提供了理论基础．
关键词：
可靠性,
瞬态可用度,
退化系统,
串联系统,
Monte Carlo
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