Reliability of Combined m-Consecutive- k-out-of- n: F and Consecutive kc-out-of-n: F Systems
Reliability of Combined m-Consecutive- k-out-of- n: F and Consecutive kc-out-of-n: F Systems
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DOI：
10.1109/tr.2011.2182401
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发表时间：
2012-01
期刊：
影响因子：
--
通讯作者：
S. Eryilmaz
中科院分区：
文献类型：
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作者：
S. Eryilmaz
一个组合的m-continuous-k-out-of-n：F & continuous k ;c ;-out-of-n：F系统由线性有序的组件，并失败当且仅当存在至少k ;c ;连续失败组件，或至少m个不重叠运行的k个连续失败组件。该结构在红外探测、信号处理、银行自动支付等系统建模中有广泛的应用。在本文中，我们推导出一个组合方程的数量的路径集的这种结构，包括一个指定数量的工作组件。这个数字是用来推导一个可靠性函数，和基于签名的生存函数公式，为系统组成的i.i.d.件.我们还得到了一个组合方程的可靠性与马尔可夫相依组件的系统。
A combined m-consecutive-k-out-of-n:F & consecutive k ;c ;-out-of-n:F systems consists of linearly ordered components, and fails iff there exist at least k ;c ; consecutive failed components, or at least m nonoverlapping runs of k consecutive failed components. This structure has applications for modeling systems such as infrared detecting and signal processing, and bank automatic payment systems. In this paper, we derive a combinatorial equation for the number of path sets of this structure including a specified number of working components. This number is used to derive a reliability function, and a signature based survival function formulae, for the system consisting of i.i.d. components. We also obtain a combinatorial equation for the reliability of a system with Markov dependent components.