Asymptotically Reliable Serial Production Lines: A System-Theoretic Approach

本研究的目的是为 理解基本的系统理论性质， 制造过程建模为批量串行生产线 生产环境。 处理的一类特殊过程 被称为渐近可靠的串行生产线。 这些生产线由机器组成，孤立地说， 性能特点 然而，被置于 生产线，他们可能（而且经常）操作少得多， 有效地 因此，本项目所要解决的主要问题 如何设计一条连续生产线， 尽可能接近孤立的机器。 研究 制定正式的分析程序， 产能分配，原料调度反馈控制， 将进行最佳质量控制系统设计。 研究方法是基于渐近分析 描述生产系统的马尔可夫链， 考虑. 虽然马尔可夫过程的简化分析 在现代系统与控制理论中， 在这种情况下，在这项工作中采用的渐近性还没有被证明。 在过去被开发和利用。 预计该 该项目的成果将有助于建立 制造系统建模为串行生产线。

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.