Some Aging Properties of the Residual Life of$k$-out-of-$n$Systems
Some Aging Properties of the Residual Life of$k$-out-of-$n$Systems
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DOI：
10.1109/tr.2006.879652
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发表时间：
2006-09
影响因子：
5.9
通讯作者：
Xiaohu Li;P. Zhao
中科院分区：
文献类型：
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作者：
Xiaohu Li;P. Zhao
在容错系统中，k / n结构是一种非常流行的冗余类型。它已应用于工业和军事系统。本文研究了具有iid个部件的(n-k+1)-out- n系统的一般剩余寿命（GRL），假设在tges0时刻部件失效总数小于l-1（1lesl<klesn）。结果表明，从似然比顺序来看，GRL在l中呈递减趋势；从GRL单调性的角度讨论了寿命分布的IFR和NBU的行为。最后，对两个（n-k+1） of-n系统的GRL进行了比较，假设其组件的寿命按危险率顺序排序
The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems. It has been applied in industrial, and military systems. In this paper, we investigate the general residual life (GRL) of a (n-k+1)-out-of-n system with i.i.d. components, given that the total number of the failures of components is less than l-1(1lesl<klesn) at time tges0. It is shown that the GRL is decreasing in l in terms of the likelihood ratio order; Behavior of IFR, and NBU of life distributions are discussed in terms of the monotonicity of GRL. Finally, comparison of the GRL of two (n-k+1)-out-of-n systems are conducted given that the lifetime of their components are assumed to be ordered in the hazard rate order