A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level
A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level
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DOI：
10.1007/s00184-009-0241-8
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发表时间：
2010-07
期刊：
影响因子：
0.7
通讯作者：
M. Tavangar;M. Asadi
中科院分区：
文献类型：
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作者：
M. Tavangar;M. Asadi
在本文中，我们考虑了一个具有相同组件的（n-k + 1）-out-of-n系统，其中假设组件的寿命是独立的，并且有一个共同的分布函数F。我们假设系统在t之前的某个时刻失效，t> 0。在这些条件下，我们感兴趣的是研究的平均时间流逝，因为组件的故障。我们称之为系统级组件的平均过去寿命（MPL）。研究了MPL的一些性质。它被证明，建议MPL和底层分布之间的关系是一对一的。我们已经证明，当系统的组件有减少的反向危险，那么系统的MPL是增加相对于时间。并提供了一些实例。
In the present paper, we consider a (n−k+ 1)-out-of-nsystem with identical components where it is assumed that the lifetimes of the components are independent and have a common distribution functionF. We assume that the system fails at timetor sometime beforet,t> 0. Under these conditions, we are interested in the study of the mean time elapsed since the failure of the components. We call this as the mean past lifetime (MPL) of the components at the system level. Several properties of the MPL are studied. It is proved that the relation between the proposed MPL and the underlying distribution is one-to-one. We have shown that when the components of the system have decreasing reversed hazard then the MPL of the system is increasing with respect to time. Some examples are also provided.