Abstract Maintenance decision-making in large manufacturing systems is complex as it requires the integration of various information. A control-limit policy is popular in practice, where maintenance is carried out when the degradation state of a machine reaches a threshold value. In this paper, by developing a framework based on discrete-time Markov chain models, we evaluate the system performance under the control-limit policy, in manufacturing systems that consist of multi-state machines and intermediate buffers. An exact analysis is performed for a two-machine-one-buffer system and an approximation method based on system decomposition is developed for multi-stage systems. Both steady-state and transient performance is analyzed. Numerical examples are presented to demonstrate the accuracy of the proposed method and the impact of different parameters (e.g., buffer capacity, uncertainty in the maintenance duration) on the system performance.

中文翻译：

---

控制极限维护策略下制造系统的性能评估

摘要 大型制造系统的维护决策是复杂的，因为它需要集成各种信息。控制限制策略在实践中很流行，当机器的退化状态达到阈值时进行维护。在本文中，通过开发基于离散时间马尔可夫链模型的框架，我们在由多状态机和中间缓冲区组成的制造系统中评估控制限制策略下的系统性能。对两机一缓冲系统进行了精确分析，并提出了一种基于系统分解的多级系统近似方法。分析了稳态和瞬态性能。