As multi-state reliability models and the dependency theory can characterize the polymorphism of manufacturing systems during degradation, they have been discussed in depth over the past few decades. However, most studies on the dependence of manufacturing systems ignored the dynamic characteristics (the production rhythm). Therefore, a reliability evaluation method that considers quality-reliability (Q-R) dependency of a multi-state manufacturing system is proposed in this paper. Q-R dependency contains two main characteristics: quality deviation and production rhythm. The stochastic-flow manufacturing network (SFMN) model is constructed to describe the interaction among machines, products, and buffers in a manufacturing system. Moreover, the quality state-space model and the usage of buffers are used to quantify the quality deviation and the production rhythm, respectively. Reliability evaluation method for multi-state manufacturing systems with Q-R dependency is proposed. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed method.

由于多状态可靠性模型和相关性理论可以描述退化期间制造系统的多态性，因此在过去的几十年中对它们进行了深入的讨论。但是，大多数关于制造系统依赖性的研究都忽略了动态特性（生产节奏）。因此，本文提出了一种考虑多状态制造系统的质量可靠性（QR）依赖性的可靠性评估方法。QR相关性包含两个主要特征：质量偏差和生产节奏。构造随机流制造网络（SFMN）模型来描述制造系统中机器，产品和缓冲区之间的相互作用。而且，质量状态空间模型和缓冲区的使用分别用于量化质量偏差和生产节奏。提出了一种基于QR的多状态制造系统可靠性评估方法。最后，给出一个说明性的例子来证明所提出方法的有效性。