Reliability analysis of two-unit cold standby repairable systems under Poisson shocks

Reliability analysis of two-unit cold standby repairable systems under Poisson shocks
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DOI:
10.1016/j.amc.2011.05.089
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发表时间:
2011-09
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Qingtai Wu;Shaomin Wu
Qingtai Wu;Shaomin Wu
中科院分区:
其他
文献类型:
--
作者:
Qingtai Wu;Shaomin Wu

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本文分析了由两个可修部件、一个开关和一个修理工组成的冷贮备系统的可靠性。在任何时候,两台机组中的一台运行,另一台处于冷备用状态。修理工可能不总是在工作现场,或休假。我们假设冲击可以攻击操作单元。冲击波的到达时间服从齐次泊松过程,其强度是服从已知分布的随机变量。修理时间和修理工休假时间分别服从一般连续型概率分布。本文推导了系统可靠度、首次故障前平均时间、稳态可用度和稳态故障频率等可靠性指标。
This paper analyses the reliability of a cold standby system consisting of two repairable units, a switch and a repairman. At any time, one of the two units is operating while the other is on cold standby. The repairman may not always at the job site, or take vacation. We assume that shocks can attack the operating unit. The arrival times of the shocks follow a homogeneous Poisson process and their magnitude is a random variable following a known distribution. Time on repairing a failed unit and the length of repairman’s vacation follow general continuous probability distributions, respectively. The paper derives a number of reliability indices: system reliability, mean time to first failure, steady-state availability, and steady-state failure frequency.