Abstract As increasingly more shop-floor data becomes available, the performance of a production system can be improved by developing effective data-driven control methods that utilize this information. We focus on the following research questions: how can the decision to produce or not to produce at any time be given depending on the real-time information about a production system?; how can the collected data be used directly in optimizing the policy parameters?; and what is the effect of using different information sources on the performance of the system? In order to answer these questions, a production/inventory system that consists of a production stage that produces to stock to meet random demand is considered. The system is not fully observable but partial production and demand information, referred to as markings is available. We propose using the marking-dependent threshold policy to decide whether to produce or not based on the observed markings in addition to the inventory and production status at any given time. An analytical method that uses a matrix geometric approach is developed to analyze a production system controlled with the marking-dependent threshold policy when the production, demand, and information arrivals are modeled as Marked Markovian Arrival Processes. A mixed integer programming formulation is presented to determine the optimal thresholds. Then a mathematical programming formulation that uses the real-time shop floor data for joint simulation and optimization (JSO) of the system is presented. Using numerical experiments, we compare the performance of the JSO approach to the analytical solutions. We show that using the marking-dependent control policy where the policy parameters are determined from the data works effectively as a data-driven control method for manufacturing.

中文翻译：

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使用标记相关阈值策略对生产系统进行数据驱动控制

摘要 随着越来越多的车间数据变得可用，可以通过开发利用这些信息的有效数据驱动控制方法来提高生产系统的性能。我们专注于以下研究问题：如何根据有关生产系统的实时信息在任何时间做出生产或不生产的决定？如何将收集到的数据直接用于优化策略参数？使用不同的信息源对系统性能有什么影响？为了回答这些问题，我们考虑了一个生产/库存系统，该系统由生产到库存以满足随机需求的生产阶段组成。该系统无法完全观察，但部分生产和需求信息（称为标记）是可用的。我们建议使用标记依赖阈值策略来决定是否根据观察到的标记以及任何给定时间的库存和生产状态来决定是否生产。当生产、需求和信息到达被建模为标记马尔可夫到达过程时，开发了一种使用矩阵几何方法的分析方法来分析由标记相关阈值策略控制的生产系统。提出了混合整数规划公式来确定最佳阈值。然后提出了一个数学规划公式，该公式使用实时车间数据进行系统的联合仿真和优化 (JSO)。通过数值实验，我们比较了 JSO 方法与解析解的性能。