Stochastic Comparisons of Series and Parallel Systems With Generalized Exponential Components
Stochastic Comparisons of Series and Parallel Systems With Generalized Exponential Components
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DOI：
10.1109/tr.2014.2354192
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发表时间：
2015-03
影响因子：
5.9
通讯作者：
N. Balakrishnan;Abedin Haidari;Khaled Masoumifard
中科院分区：
文献类型：
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作者：
N. Balakrishnan;Abedin Haidari;Khaled Masoumifard
本文研究了具有s-独立非均匀广义指数分量的串联和并联系统的随机比较问题。这里建立的结果是在三个方向发展。首先，我们考虑了一个具有不同形状和尺度参数的系统，在一定的数学意义下，得到了当其参数矩阵变为另一个矩阵时的一些排序结果。接下来，通过使用向量优化和相关订单的概念，我们建立各种排序结果的串联和并联系统的比较，当他们的组件的寿命具有相同的形状参数可能不同的尺度参数，或相同的尺度参数可能不同的形状参数。最后，一些已知的结果在指数的情况下，并行系统之间的各种随机序的情况下，组件的寿命遵循广义指数分布。本文的结果可用于在实际情况下，以取代新的组件的串联和并联系统的组件，或找到这些系统的重要老化特性的各种界限。
This paper examines the problem of the stochastic comparison of series and parallel systems with s-independent heterogeneous generalized exponential components. The results established here are developed in three directions. First, we consider a system with possibly different shape and scale parameters, and obtain some ordering results when its matrix of parameters changes to another matrix, in the certain mathematical sense. Next, by using the concept of vector majorization and related orders, we establish various ordering results for the comparisons of series and parallel systems, when their component's lifetimes have either the same shape parameters with possibly different scale parameters, or the same scale parameters with possibly different shape parameters. Finally, some of the known results on various stochastic orderings between parallel systems in the exponential case are extended to the case when the lifetimes of components follow the generalized exponential distributions. The results of this paper can be used in practical situations to replace components of series and parallel systems by new components, or to find various bounds for the important aging characteristics of these systems.