Consider an n-components coherent system monitored at one or two inspection times, and some information about the system and its components is obtained. Under these conditions, some variants of mean residual lifetimes can be defined. Also, the dual concept of the residual lifetime, i.e., inactivity time is defined for a failed system under different conditions. This article is concerned with the study of mean residual lives and mean inactivity times for a coherent system made of multiple types of dependent components. The dependency structure is modeled by a survival copula. The notion of survival signature is employed to represent the system’s reliability function and subsequently its mean residual lives and mean inactivity times under different events at the monitoring time. These dynamic measures are used frequently to study the reliability characteristics of a system. Also, they provide helpful tools for designing the optimal maintenance policies to preserving the system from sudden and costly failures. Here, we extend some maintenance strategies for a coherent system consists of multiple dependent components. Some illustrative examples are provided.

考虑一个- 对组件相干系统进行一两次检查，并获得有关系统及其组件的一些信息。在这些条件下，可以定义一些平均剩余寿命的变体。此外，剩余寿命的双重概念，即不活动时间是针对不同条件下的故障系统定义的。本文关注的是由多种类型的依赖组件组成的连贯系统的平均剩余寿命和平均不活动时间的研究。依赖结构由生存系词建模。生存签名的概念用于表示系统的可靠性函数，以及随后在监控时间的不同事件下的平均剩余寿命和平均不活动时间。这些动态测量经常用于研究系统的可靠性特性。此外，它们还为设计最佳维护策略提供了有用的工具，以保护系统免受突然且代价高昂的故障的影响。在这里，我们为由多个相关组件组成的连贯系统扩展了一些维护策略。提供了一些说明性示例。