Asymptotically Reliable Serial Production Lines: A System-Theoretic Approach

本研究的目的是为了帮助理解大规模生产环境中以系列生产线为模型的制造过程的基本系统理论性质。一类特殊的过程被称为渐近可靠串行生产线。这样的生产线由具有非常好的性能特征的机器组成。然而，被放在生产线上，它们可能（而且经常）运行效率低得多。因此，本项目要解决的主要问题是如何设计一条串行生产线，使其性能尽可能接近孤立机器的性能。将进行一项研究，开发最优缓冲容量分配、行物料调度的反馈控制和最优质量控制系统设计的形式化分析程序。该研究的方法是基于对马尔可夫链的渐近分析，该分析描述了考虑中的生产系统。虽然简化的马尔可夫过程分析已经在现代系统和控制理论中多次使用，但在这项工作中使用的渐近性在过去还没有被探索和利用。预计该项目的研究成果将有助于建立以串行生产线为模型的制造系统的科学基础。

The goal of this research is to contribute to the understanding of fundamental system-theoretic properties of manufacturing processes modeled as serial production lines in mass production environment. A particular class of processes addressed is referred to as asymptotically reliable serial production lines. Such lines consist of machines that have, in isolation, very good performance characteristics. Nevertheless, being placed in a production line, they may (and often do) operate much less efficiently. Therefore, the main problem addressed in this project is how to design a serial production line so that its performance is as close to that of machines in isolation as possible. A study to develop formalized, analytical procedures for optimal buffer capacity assignment, feedback control of row material dispatch, and optimal quality control system design will be performed. The approach of the study is based on an asymptotic analysis of Markov chains that describe production systems under consideration. Although simplified analysis of Markov processes has been utilized in modern System and Control theory on a number of occasions, the asymptotics employed in this work has not been explored and exploited in the past. It is expected that the results of this project will contribute to the science base of manufacturing systems modeled as serial production lines.