Linear Consecutive-2-Out-of-n:F Repairable System with Markov Dependence and Priority in Repair
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摘要: 研究了一个线性相邻2/n(F)可修系统.假定每个部件的工作时间和维修时间均为 负指数分布,且故障部件能够修复如新,但系统中的部件是马氏相依的.利用广义转移概率的 定义和关键部件优先维修的规则,求得了该系统的状态转移概率.当n已知时,获得了该系统 的一些重要的可靠性指标.
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关键词:
- 相邻k/n(F和G)系统 /
- 广义转移概率 /
- 关键部件 /
- 马氏相依 /
- Q-矩阵
Abstract: In this paper, a linear consecutive-2-out-of-n. F repairable system is studied. It is assumed that the working time and the repair time of any component are both exponentially distributed and any component after repair is as good as new, but the n components in the system have homogeneous Markov dependence. Using the definition of generalized transition probability and a rule with priority to repair the key component ,the state transition probability of the system is derived. When n is given, some important reliability indices of the system can be obtained. -
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