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Some conditional reliability properties of k-out-of-n system composed of different types of components with discrete independent lifetimes
Metrika ( IF 0.7 ) Pub Date : 2021-06-22 , DOI: 10.1007/s00184-021-00826-1
Krzysztof Jasiński

In this paper, we study reliability properties of k-out-of-n system consisting of l \((1\le l\le n)\) different types of components with discrete, independent lifetimes. We obtain some conditional survival functions of lifetime of a used system. Next, we use them to calculate two conditional failure probabilities of k-out-of-n systems and show that they are equal to unconditional failure probability of a k-out-of-\((n-r)\) system, \(r<n-k+1\). These results are extended versions of the respective ones existing in the literature.



中文翻译:

由具有离散独立寿命的不同类型组件组成的 k-out-n 系统的一些条件可靠性特性

在本文中,我们研究了由l \((1\le l\le n)\)不同类型的具有离散、独立寿命的组件组成的k -out-of- n系统的可靠性特性。我们获得了所用系统生命周期的一些条件生存函数。接下来,我们使用它们来计算k -out-of- n系统的两个条件失效概率,并证明它们等于k -out-of- \((nr)\)系统的无条件失效概率,\(r <n-k+1\)。这些结果是文献中存在的相应结果的扩展版本。

更新日期:2021-06-23
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