Abstract

The relationship between reliability and dependence of components within each element is discussed in complex systems. In the present text, a complex system is composed of n elements and each of its elements has two dependent components. In this setting, dependency among components is a crucial issue, since the reliability and mean residual life (MRL) functions of such systems are affected by its component dependence. In this article, copula functions are used to describe dependency among components. Some stochastic orderings are made between two complex systems with different degrees of dependence among the components. Some examples and illustrative graphs are presented, as well.

摘要

在复杂系统中讨论了每个元素内组件的可靠性和依赖性之间的关系。在本文中，一个复杂系统由 n 个元素组成，每个元素都有两个依赖的组件。在这种情况下，组件之间的依赖性是一个关键问题，因为此类系统的可靠性和平均剩余寿命 (MRL) 函数受其组件依赖性的影响。在本文中，copula 函数用于描述组件之间的依赖关系。一些随机排序是在组件之间具有不同依赖程度的两个复杂系统之间进行的。还提供了一些示例和说明性图表。