Signature-based representations for the reliability of systems with heterogeneous components

Signature-based representations for the reliability of systems with heterogeneous components
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DOI:
10.1239/jap/1316796920
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发表时间:
2011-09
影响因子:
1
通讯作者:
J. Navarro;F. Samaniego;N. Balakrishnan
J. Navarro;F. Samaniego;N. Balakrishnan
中科院分区:
数学4区
文献类型:
--
作者:
J. Navarro;F. Samaniego;N. Balakrishnan

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具有独立和同分布组件寿命的相干系统的可靠性函数的基于签名的表示在研究这类系统的老化特性和比较不同标准下不同系统的性能方面非常有用。在本文中,我们考虑将这些结果扩展到具有异构组件的系统。对于具有独立寿命的构件和具有特定依赖形式的构件,分别建立了新的表示定理。这些表示可以用来比较具有同构和异构组件的系统的性能。
Signature-based representations of the reliability functions of coherent systems with independent and identically distributed component lifetimes have proven very useful in studying the ageing characteristics of such systems and in comparing the performance of different systems under varied criteria. In this paper we consider extensions of these results to systems with heterogeneous components. New representation theorems are established for both the case of components with independent lifetimes and the case of component lifetimes under specific forms of dependence. These representations may be used to compare the performance of systems with homogeneous and heterogeneous components.