A FLUID MODEL FOR SYSTEMS WITH RANDOM DISRUPTIONS
成果类型：
Article
署名作者：
CHEN, H; YAO, DD
署名单位：
New Jersey Institute of Technology; Columbia University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.40.3.S239
发表日期：
1992
页码：
S239-S247
关键词：
摘要：
Motivated by modeling manufacturing systems in which job arrivals and processing times are essentially deterministic, but the environment is typically random, we develop a fluid model with random disruptions. The quality and relevance of such a model are supported by the following facts which we establish in this study. The fluid model is more susceptible to analysis: Its (dynamical) sample paths are continuous and piecewise linear, and its stationary behavior can be studied using standard approaches in random walk; the model is a limit of corresponding queueing systems with random disruptions that are usually difficult to analyze; there exist pathwise bounds between the fluid model and D/D/1 queues with random disruptions, and the bounds are simple and tight.