Components in many engineering and industrial systems can experience propagated failures, which not only cause the failure of the component itself but also affect other components, causing extensive damage to the entire system. However, in systems with functional dependence behavior where failure of a trigger component may cause other components (referred to as dependent components) to become unusable or inaccessible, failure propagation originating from a dependent component could be isolated if the corresponding trigger component fails first. Thus, a time‐domain competition exists between the failure propagation effect and the failure isolation effect, which poses a great challenge to the system reliability modeling and analysis. In this work, a new combinatorial model called competing binary decision diagram (CBDD) is proposed for the reliability analysis of systems subject to the competing failure behavior. In particular, special Boolean algebra rules and logic manipulation rules are developed for system CBDD model generation. The corresponding evaluation algorithm for the constructed CBDD model is also proposed. The proposed CBDD modeling method has no limitation on the type of component time‐to‐failure distributions. A memory system example and a network example are provided to demonstrate the application of the proposed model and algorithms. Correctness of the proposed method is verified using the Markov method.

中文翻译：

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确定性竞争失败分析的新组合模型

许多工程和工业系统中的组件都会经历传播性故障，这不仅会导致组件本身发生故障，还会影响其他组件，从而对整个系统造成广泛的损害。但是，在具有功能依赖性行为的系统中，触发组件的故障可能导致其他组件（称为从属组件）变得无法使用或不可访问，如果相应的触发组件首先发生故障，则可以隔离源自于从属组件的故障传播。因此，故障传播效应和故障隔离效应之间存在时域竞争，这对系统可靠性建模和分析提出了巨大挑战。在这项工作中 提出了一种新的组合模型，称为竞争二进制决策图（CBDD），用于对遭受竞争性故障行为的系统进行可靠性分析。特别是，为系统CBDD模型生成开发了特殊的布尔代数规则和逻辑操作规则。还针对构建的CBDD模型提出了相应的评估算法。所提出的CBDD建模方法对组件失效时间分布的类型没有限制。提供了一个存储系统示例和一个网络示例来演示所提出的模型和算法的应用。使用马尔可夫方法验证了所提出方法的正确性。为系统CBDD模型生成开发了特殊的布尔代数规则和逻辑操作规则。还针对构建的CBDD模型提出了相应的评估算法。所提出的CBDD建模方法对组件失效时间分布的类型没有限制。提供了一个存储系统示例和一个网络示例来演示所提出的模型和算法的应用。使用马尔可夫方法验证了所提出方法的正确性。为系统CBDD模型生成开发了特殊的布尔代数规则和逻辑操作规则。还针对构建的CBDD模型提出了相应的评估算法。所提出的CBDD建模方法对组件失效时间分布的类型没有限制。提供了一个存储系统示例和一个网络示例来演示所提出的模型和算法的应用。使用马尔可夫方法验证了所提出方法的正确性。