This paper considers series and parallel systems comprising n components drawn from a heterogeneous population consisting of m different subpopulations. The components within each subpopulation are assumed to be dependent, while the subpopulations are independent of each other. The authors also assume that the subpopulations have different Archimedean copulas for their dependence. Under this setup, the authors discuss the series and parallel systems reliability for three different cases, respectively. The authors use the theory of stochastic orders and majorization to establish the main results, and finally present some numerical examples to illustrate all the results established here.

本文考虑了包含n 个组件的串联和并联系统，这些组件来自由m 个不同子群组成的异质群。假设每个亚群中的成分相互依赖，而亚群彼此独立。作者还假设亚群具有不同的阿基米德联结关系。在这种设置下，作者分别讨论了三种不同情况下串联和并联系统的可靠性。作者使用随机阶数和专业化理论来建立主要结果，最后给出一些数值例子来说明这里建立的所有结果。