On the application and extension of system signatures in engineering reliability
On the application and extension of system signatures in engineering reliability
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DOI：
10.1002/nav.20285
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发表时间：
2008-06
期刊：
影响因子：
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通讯作者：
J. Navarro;F. Samaniego;N. Balakrishnan;D. Bhattacharya
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文献类型：
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作者：
J. Navarro;F. Samaniego;N. Balakrishnan;D. Bhattacharya
本文回顾了结构可靠性的基本思想，包括构件具有独立同分布（i.i.d）寿命的系统的基于签名的表示和保存定理，得到了适用于不同大小的相干系统的比较的扩展，以及它们的随机混合。然后证明这些结果可以推广到具有可交换随机寿命的向量。特别地，对于具有可交换组分寿命的任意大小m < n的系统，证明了m组分系统的寿命分布可以写成k - out - of - n系统的分布的混合。当系统有n个组件时，这种混合表示中的系数向量正好是Samaniego， IEEE Trans Reliabil R-34(1985) 69-72中定义的系统的签名。然后使用这些混合表示来获得不同大小的相干或混合系统的新的随机有序性质。©2008 Wiley期刊公司海军研究后勤，2008
Following a review of the basic ideas in structural reliability, including signature‐based representation and preservation theorems for systems whose components have independent and identically distributed (i.i.d.) lifetimes, extensions that apply to the comparison of coherent systems of different sizes, and stochastic mixtures of them, are obtained. It is then shown that these results may be extended to vectors of exchangeable random lifetimes. In particular, for arbitrary systems of sizes m < n with exchangeable component lifetimes, it is shown that the distribution of an m‐component system's lifetime can be written as a mixture of the distributions of k‐out‐of‐n systems. When the system has n components, the vector of coefficients in this mixture representation is precisely the signature of the system defined in Samaniego, IEEE Trans Reliabil R–34 (1985) 69–72. These mixture representations are then used to obtain new stochastic ordering properties for coherent or mixed systems of different sizes. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008