On the Effect of Redundancy for Systems with Dependent Components

On the Effect of Redundancy for Systems with Dependent Components
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DOI:
10.1080/714044440
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发表时间:
2003-12
期刊:
影响因子:
--
通讯作者:
S. Kotz;C. Lai;M. Xie
S. Kotz;C. Lai;M. Xie
中科院分区:
管理科学3区
文献类型:
--
作者:
S. Kotz;C. Lai;M. Xie

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并联冗余是提高系统可靠性和平均无故障时间的常用方法。在研究具有冗余元件的系统时,通常假设元件之间是相互独立的,但这种假设在实际中很少成立。在依赖组件的情况下,添加组件的有效性可能与独立组件的情况完全不同。在本文中,我们研究的相关程度如何影响的平均寿命的增加,并行冗余时,两个组件是正象限依赖。一些二元分布,可用于依赖组件的建模进行了比较。各种界限也来自。所得结果可用于可靠性分析,也可供设计人员考虑元件间可能存在的相关性时参考。
Parallel redundancy is a common approach to increase system reliability and mean time to failure. When studying systems with redundant components, it is usually assumed that the components are independent; however, this assumption is seldom valid in practice. In the case of dependent components, the effectiveness of adding a component may be quite different from the case of independent components. In this paper we investigate how the degree of correlation affects the increase in the mean lifetime for parallel redundancy when the two components are positively quadrant dependent. A number of bivariate distributions that can be used in the modeling of dependent components are compared. Various bounds are also derived. The results are useful in reliability analysis as well as for designers who are required to take into account the possible dependence among the components.