In this study, Goal-Oriented (GO) methodology, as an important technique for reliability analysis, is used in multi-state redundancy systems. However, traditional GO operation is usually not sufficiently effective for such multi-state redundancy systems because of the complex computational problem. To solve this problem, an efficient UGF-based GO operation that combines the advantages of GO methodology and the universal generation function (UGF) is proposed. The algorithm can avoid the complex calculation process caused by the algorithm-based GO operation of traditional probability formulas, and can simplify the correction of the shared signal by regarding it as the system’s conditional probability. In addition, the further correction problem in which some dependent shared signals with a common failure are caused by other shared signals is also considered. Some application examples are presented to illustrate the proposed UGF-based GO methodology, as well as its effectiveness and practicability.

在这项研究中，面向目标（GO）的方法作为一种重要的可靠性分析技术，被用于多状态冗余系统中。然而，由于复杂的计算问题，传统的GO操作通常对于这种多状态冗余系统而言不够有效。为了解决此问题，提出了一种有效的基于UGF的GO运算，该运算结合了GO方法和通用生成函数（UGF）的优点。该算法可以避免传统概率公式的基于算法的GO运算所引起的复杂计算过程，并且可以通过将共享信号视为系统的条件概率来简化共享信号的校正。此外，还考虑了进一步的校正问题，其中具有共同故障的一些相关的共享信号是由其他共享信号引起的。给出了一些应用示例，以说明所提出的基于UGF的GO方法及其有效性和实用性。