Network reliability is one of the most important concepts in this modern era. Reliability characteristics, component significance measures, such as the Birnbaum importance measure, critical importance measure, the risk growth factor and average risk growth factor, and network reliability stability of the communication network system have been discussed in this paper to identify the critical components in the network, and also to quantify the impact of component failures. The study also proposes an efficient algorithm to compute the reliability indices of the network. The authors explore how the universal generating function can work to solve the problems related to the network using the exponentially distributed failure rate. To illustrate the proposed algorithm, a numerical example has been taken.

中文翻译：

---

通信网络中网络可靠性特性及组件重要性分析

网络可靠性是这个现代时代最重要的概念之一。本文讨论了通信网络系统的可靠性特征、组件重要性度量，如 Birnbaum 重要性度量、临界重要性度量、风险增长因子和平均风险增长因子，以及通信网络系统的网络可靠性稳定性，以识别通信网络系统中的关键组件。网络，并量化组件故障的影响。该研究还提出了一种有效的算法来计算网络的可靠性指标。作者探索了通用生成函数如何使用指数分布的故障率解决与网络相关的问题。为了说明所提出的算法，已经采用了一个数值例子。