Abstract

In this article, we consider residual lives of series-parallel and parallel-series systems with independent subsystems consisting of dependent homogeneous components with the joint distribution of their lifetimes being modeled by an Archimedean copula. By considering two such systems with different numbers of components within each subsystem, we establish various stochastic orderings and aging results for the residual lives of series-parallel and parallel-series systems. The results established here are quite general. Several examples are presented to illustrate all the established results and their reliability implications.

中文翻译：

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串联-并联和并联-串联系统的剩余寿命的随机比较与由相关组件组成的独立子系统

摘要

在本文中，我们考虑具有独立子系统的串并联和并联串联系统的剩余寿命，这些子系统由相依的同构组件组成，其寿命的联合分布由阿基米德 copula 建模。通过考虑每个子系统中组件数量不同的两个这样的系统，我们为串并联和并联串联系统的剩余寿命建立了各种随机排序和老化结果。这里建立的结果非常普遍。提供了几个例子来说明所有已建立的结果及其可靠性含义。