On Relevation redundancy to coherent systems at component and system levels

Pub Date : 2023-06-09 DOI:10.1017/jpr.2023.31
Chen Li, Xiaohui Li
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引用次数: 1

Abstract

Recently, the relevation transformation has received further attention from researchers, and some interesting results have been developed. It is well known that the active redundancy at component level results in a more reliable coherent system than that at system level. However, the lack of study of this problem with relevation redundancy prevents us from fully understanding such a generalization of the active redundancy. In this note we deal with relevation redundancy to coherent systems of homogeneous components. Typically, for a series system of independent components, we have proved that the lifetime of a system with relevation redundancy at component level is larger than that with relevation redundancy at system level in the sense of the usual stochastic order and the likelihood ratio order, respectively. For a coherent system with dependent components, we have developed a sufficient condition in terms of the domination function to the usual stochastic order between the system lifetime with redundancy at component level and that at system level.
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在组件和系统级别上相干系统的关联冗余
近年来,关联转换得到了研究者的进一步关注,并产生了一些有趣的结果。众所周知,组件级的主动冗余比系统级的主动冗余能产生更可靠的相干系统。然而,由于缺乏对关联冗余问题的研究,使我们无法充分理解主动冗余的这种泛化。在这篇笔记中,我们处理同质成分的相干系统的关联冗余。通常,对于独立组件的系列系统,我们分别在通常的随机顺序和似然比顺序下证明了组件级关联冗余系统的寿命大于系统级关联冗余系统的寿命。对于具有相关组件的相干系统,我们给出了控制函数在组件级冗余系统寿命与系统级冗余系统寿命之间的通常随机顺序的充分条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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