Reliability importance which serves to quantify the influence of each component (or each type of components) in each phase on the reliability of a phased mission system (PMS) plays an important role in security assessment and risk management. In this paper, we present a new and efficient method for reliability importance analysis of PMSs using the theory of survival signature. A new kind of survival signature is applied to assess the reliability of PMS with multiple types of components. A closed-form formula is derived to predict reliability importance of the PMS with respect to each type of components in each phase. The Birnbaum importance model is further extended to calculate the reliability importance of the PMS with respect to each component in each phase. Finally, two numerical examples are used to demonstrate the validity and effectiveness of the proposed approaches.

中文翻译：

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分阶段任务系统可靠性重要性分析新研究

可靠性重要性用于量化每个阶段的每个组件（或每种类型的组件）对分阶段任务系统（PMS）可靠性的影响，在安全评估和风险管理中起着重要作用。在本文中，我们提出了一种使用生存签名理论的 PMS 可靠性重要性分析的新方法和有效方法。应用一种新的生存特征来评估具有多种类型组件的 PMS 的可靠性。推导出一个封闭形式的公式来预测 PMS 相对于每个阶段中每种类型的组件的可靠性重要性。Birnbaum 重要性模型进一步扩展到计算 PMS 相对于每个阶段中每个组件的可靠性重要性。最后，