Ju Feng, Li Jingshan, Horst John A
School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, Tempe, AZ 85287 USA.
Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI 53706.
IEEE Trans Automat Contr. 2017 Feb;62(2). doi: 10.1109/tac.2016.2572119.
Manufacturing systems with perishable products are widely observed in practice (e.g., food industry, biochemical productions, battery and semiconductor manufacturing). In such systems, the quality of the product is highly affected by its exposure time while waiting for the next operation, i.e., the residence time of intermediate parts within the system. Such a time should be strictly limited in order to ensure the product usability. The parts that reach the maximum allowable residence time need to be scrapped, thus impeding the production. To achieve an efficient production, the time-dependent or transient analysis is important to uncover the underlying principles governing production operations. In this paper, a serial production line model with two Bernoulli reliability machines, a finite buffer and perishable products is presented to analyze the transient behavior of such systems. The analytical formulas are derived to evaluate transient performance, and structural properties are investigated to study the effect of system parameters. In addition, using the model, we address problems of settling time estimation and production control to demonstrate the importance of the proposed method for transient analysis.
在实际中，带有易腐产品的制造系统广泛存在（例如，食品工业、生化生产、电池和半导体制造）。在这类系统中，产品质量会受到其等待下一道工序时的暴露时间的显著影响，也就是中间部件在系统内的停留时间。为确保产品的可用性，这个时间必须严格限制。达到最大允许停留时间的部件需要报废，这会阻碍生产。为实现高效生产，依赖时间的或瞬态分析对于揭示生产运作的潜在原理很重要。本文提出了一个具有两台伯努利可靠性机器、一个有限缓冲区和易腐产品的串行生产线模型，以分析此类系统的瞬态行为。推导了用于评估瞬态性能的解析公式，并研究了结构特性以考察系统参数的影响。此外，利用该模型，我们解决了稳定时间估计和生产控制问题，以证明所提出的瞬态分析方法的重要性。
