The paper shows the connections between some importance indices for the components in an engineering coherent system and the performance of the system obtained when a redundancy mechanism is applied to a specific component. A copula approach is used to model the dependency among the components. This approach includes the popular case of independent components. Under some assumptions, it is proved that if component i is more important than component j, then the system obtained by applying a redundancy procedure to the ith component is better, under different stochastic criteria, than that obtained with the jth component. These results can be applied to several redundancy mechanisms. A new importance index is defined to study active redundancies. Some illustrative examples are provided.

中文翻译：

---

重要措施与系统冗余与相关组件之间的关系

本文展示了工程连贯系统中组件的一些重要性指标与将冗余机制应用于特定组件时获得的系统性能之间的联系。copula 方法用于对组件之间的依赖关系进行建模。这种方法包括独立组件的流行情况。在一些假设下，证明了如果组件一世比组件更重要j，则系统通过对一世在不同的随机标准下，第 th 分量比用j第一个组件。这些结果可以应用于几种冗余机制。定义了一个新的重要性指数来研究主动冗余。提供了一些说明性示例。