Abstract

In this paper, we investigate the lifetime reliability of a system under a new mixed shock model. Consider a system whose efficiency is $k.$ If the magnitude of the shock is greater than $d$ or the interarrival time between two consecutive shocks is less than δ, the efficiency of the system reduces by one unit. If $k_1$ denotes the number of shocks that have the magnitude greater than $d$ and $k_2$ demonstrates the number of the interarrival times between two consecutive shocks is less than δ while, $k_1+k_2=k,$ as a results, the system loses its efficiency and fails. The system lifetime reliability function, the reliability of system lifetime in a perfectly functioning state and the reliability of system lifetime in partially working states have been calculated. The effect of critical points values on the reliability function of the system lifetime has been studied by using the simulation.

摘要

在本文中，我们研究了一个系统在新的混合冲击模型下的寿命可靠性。考虑一个效率为$k.$如果冲击的幅度大于$d$或者连续两次冲击之间的到达时间间隔小于δ，系统效率降低一个单位。如果$k_{\mathrm{1个}}$表示震级大于$d$和$k_{\mathrm{2个}}$证明两次连续冲击之间的到达时间间隔小于 δ 而，$k_{\mathrm{1个}}+k_{\mathrm{2个}}=k,$结果，系统失去了效率并发生故障。计算了系统寿命可靠性函数、系统在完好状态下的寿命可靠性和系统在部分工作状态下的寿命可靠性。通过仿真研究了临界点取值对系统寿命可靠性函数的影响。