A stable queueing network with unstable fluid model

• 成果类型: Article
• 署名作者: Bramson, M
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1999
• 页码: 818-853
• 关键词: queuing-networks; STABILITY

摘要

Fluid models have become a standard tool for demonstrating stability for queueing networks. It is presently not known, however, when the stability of a fluid model follows from that of the corresponding queueing network. We present an example of a queueing network where such stability does not, in fact, follow This example also shows that the behavior of the fluid limits and the fluid model solutions for the same queueing network can differ considerably from one another.