Transient analysis of Bernoulli serial lines: performance evaluation and system-theoretic properties

被引：81

作者：

Zhang, Liang ^{[1
]}

Wang, Chuanfeng ^{[2
]}

Arinez, Jorge ^{[3
]}

Biller, Stephan ^{[4
]}

机构：

[1] Univ Wisconsin, Dept Ind & Mfg Engn, Milwaukee, WI 53211 USA

[2] Georgia Inst Technol, George W Woodruff Sch Mech Engn, Atlanta, GA 30332 USA

[3] Gen Motors R&D Ctr, Mfg Syst Res Lab, Warren, MI 48090 USA

[4] Gen Elect, Global Res Ctr, New York, NY 12309 USA

来源：

IIE TRANSACTIONS | 2013年 / 45卷 / 05期

基金：

美国国家科学基金会;

关键词：

Production lines; transient analysis; Bernoulli machine; QUEUING-SYSTEMS; BEHAVIOR;

D O I：

10.1080/0740817X.2012.721946

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Transient behavior of production systems has significant practical and theoretical implications. However, analytical methods for analysis and control of production systems during transients remain largely unexplored. In the framework of serial production lines with Bernoulli machines and finite buffers, this article develops a mathematical model for transient analysis and derives closed-form expressions for evaluating the production rate, consumption rate, work-in-process, and probabilities of machine starvation and blockage during transients. In addition, a computationally efficient procedure based on recursive aggregation is developed to approximate the transient performance measures with high accuracy. Finally, based on the mathematical model derived, system-theoretic properties of several important system transient characteristics are studied.

引用

页码：528 / 543

页数：16