STRONG APPROXIMATIONS OF OPEN QUEUING-NETWORKS

• 成果类型: Article
• 署名作者: HORVATH, L
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.17.2.487
• 发表日期: 1992
• 页码: 487-508
• 关键词: regulated brownian-motion; transient-behavior; partial sums

摘要

We consider a queueing system with one or more stations. We show that the queue length processes can be approximated with Brownian motions or reflected Brownian motions. Using the approximations we obtain rates of convergence of the distributions and expected values of queue lengths.