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Reliability and optimal replacement policy for a k-out-of-n system subject to shocks

机译:受到冲击的k出n的系统的可靠性和最佳更换策略

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摘要

Consider a k-out-of-n system which is subject to shocks that occur at random times. Each shock causes failure of random number of components, and hence the system's lifetime corresponds to one of the arrival times of shocks. The reliability and mean time to failure of the system are studied when the times between shocks follow a phase type distribution. The optimal replacement time problem which is concerned with the minimization of the total long-run average cost per unit time is also defined and studied.
机译:考虑一个n出k的系统,该系统会受到随机时间发生的冲击的影响。每次电击都会导致随机数量的组件发生故障,因此系统的寿命对应于电击的到达时间之一。当冲击之间的时间遵循相位类型分布时,研究系统的可靠性和平均故障时间。还确定并研究了与单位时间总的长期平均成本最小化有关的最优更换时间问题。

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