On variability of series and parallel systems with heterogeneous components
On variability of series and parallel systems with heterogeneous components
复制标题
异质元件串并联系统的可变性
DOI：
10.1017/s0269964819000263
复制
发表时间：
2020
影响因子：
1.1
通讯作者：
Zhao P.
中科院分区：
文献类型：
--
作者：
Zhang Y.;Ding W.;Zhao P.
摘要本文研究了由异质（和相关）组件组成的串联和并联系统的可变性。建立了由具有多离群比例危险率和阿基米德生存关系的相关分量组成的并联[串联]系统寿命之间的星形和色散顺序的充分条件。我们还证明了在不限制尺度参数的情况下，在凸变换阶的意义上，具有独立的异构尺度分量的并联或串联系统的寿命大于具有独立的齐次尺度分量的并联或串联系统的寿命。这些结果将文献中的一些相应结果推广到组件寿命分布的依赖场景或一般设置的情况下。
Abstract This paper studies the variability of both series and parallel systems comprised of heterogeneous (and dependent) components. Sufficient conditions are established for the star and dispersive orderings between the lifetimes of parallel [series] systems consisting of dependent components having multiple-outlier proportional hazard rates and Archimedean [Archimedean survival] copulas. We also prove that, without any restriction on the scale parameters, the lifetime of a parallel or series system with independent heterogeneous scaled components is larger than that with independent homogeneous scaled components in the sense of the convex transform order. These results generalize some corresponding ones in the literature to the case of dependent scenarios or general settings of components lifetime distributions.