ON MANY-SERVER QUEUES IN HEAVY TRAFFIC

• 成果类型: Article
• 署名作者: Puhalskii, Anatolii A.; Reed, Josh E.
• 署名单位: University of Colorado System; University of Colorado Denver; New York University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/09-AAP604
• 发表日期: 2010
• 页码: 129-195
• 关键词: limits

摘要

We establish a heavy-traffic limit theorem on convergence in distribution for the number of customers in a many-server queue when the number of servers tends to infinity. No critical loading condition is assumed. Generally, the limit process does not have trajectories in the Skorohal space. We give conditions for the convergence to hold in the topology of compact convergence. Some new results for an infinite server are also provided.