Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components
Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components
复制标题
具有异构弹性规模组件的并联和串联系统的随机比较
DOI：
10.1080/02331888.2018.1546705
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发表时间：
2018-11
期刊：
影响因子：
1.9
通讯作者：
Wang H.
中科院分区：
文献类型：
--
作者：
Zhang Y.;Cai X.;Zhao P.;Wang H.
通过在标度模型中加入一个弹性参数，引入了一个广义的分布族，称为服从-标度模型，包括指数分布、威布尔分布、广义指数分布、指数威布尔分布和指数Lomax分布。本文进行了随机比较的并联和串联系统的异构性缩放组件。一方面，它表明，更多的异质性之间的并行[串联]系统与阿基米德[生存] Copula的序标度组件导致更好的[更差]的性能在通常的随机顺序的意义上。另一方面，建立了两个由独立的异质序标度分量组成的串联[并联]系统的[反向危险]危险率序。的偏斜度和分散性也研究了两个平行的系统组成的独立的异质性和同质性[多离群值]双尺度组件的寿命。数值例子来说明我们的理论研究结果的有效性。这些结果不仅推广和扩展了文献中的一些已知结果，而且对工程师在实际情况下组装具有更高可靠性的系统具有指导意义。
By adding a resilience parameter to the scale model, a general distribution family called resilience-scale model is introduced including exponential, Weibull, generalized exponential, exponentiated Weibull and exponentiated Lomax distributions as special cases. This paper carries out stochastic comparisons on parallel and series systems with heterogeneous resilience-scaled components. On the one hand, it is shown that more heterogeneity among the resilience-scaled components of a parallel [series] system with an Archimedean [survival] copula leads to better [worse] performance in the sense of the usual stochastic order. On the other hand, the [reversed hazard] hazard rate order is established for two series [parallel] systems consisting of independent heterogeneous resilience-scaled components. The skewness and dispersiveness are also investigated for the lifetimes of two parallel systems consisting of independent heterogeneous and homogeneous [multiple-outlier] resilience-scaled components. Numerical examples are provided to illustrate the effectiveness of our theoretical findings. These results not only generalize and extend some known ones in the literature, but also provide guidance for engineers to assemble systems with higher reliability in practical situations.
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影响因子：
5.9
作者：
B. Dhillon
通讯作者：
B. Dhillon
具有异构伽马分量的并行系统的危险率比较
影响因子：
1.6
作者：
Balakrishnan, N.;赵鹏
通讯作者：
赵鹏
影响因子：
5.9
作者：
N. Balakrishnan;Abedin Haidari;Khaled Masoumifard
通讯作者：
N. Balakrishnan;Abedin Haidari;Khaled Masoumifard
影响因子：
2.5
作者：
通讯作者：
--
DOI：
10.1017/s0269964816000309
发表时间：
2016-09
影响因子：
1.1
作者：
N. Misra;Jisha Francis;Sameen Naqvi
通讯作者：
N. Misra;Jisha Francis;Sameen Naqvi