标题： 通过Gini型指数分析可靠性系统 显示英文标题

标题： Analysis of reliability systems via Gini-type index

摘要： 可靠性理论的不同策略已被不同研究人员用于分析相干系统。 在这里，Gini型指数被用作研究和比较复杂系统老化特性的实用工具。 引入了一种基于Gini型指数的新随机序，以比较元件和系统的老化速度。 通过相应的Gini型指数研究了具有共享元件的并联-串联和串联-并联系统。 此外，讨论了Gini型指数在多维情况下的推广，并用于在存在其他依赖元件的情况下比较元件寿命特性。 结果表明，当其他元件正在工作或已经失效时，元件寿命的老化特性可能会有所不同。 本文中给出了大量示例，以更好地理解Gini型和广义Gini型指数。 显示英文摘要

摘要： Different strategies of reliability theory for the analysis of coherent systems have been studied by various researchers. Here, the Gini-type index is utilized as an applicable tool for the study and comparison of the ageing properties of complex systems. A new stochastic order in terms of Gini-type index is introduced to compare the speed of ageing of components and systems. The parallel-series and series-parallel systems with shared components are studied by their corresponding Gini-type indexes. Also, the generalization of Gini-type index for the multidimensional case is discussed, and is used to compare components lifetimes properties in the presence of other dependent components. It is shown that the ageing properties of a component lifetime can differ when the other components are working or have already failed. Numerous illustrative examples are given for better intuition of Gini-type and generalized Gini-type indexes throughout the paper.