ON THE WEAK CONVERGENCE OF DEPARTURES FROM AN INFINITE SERIES OF . /M/1 QUEUES
成果类型：
Article
署名作者：
Mountford, T.; Prabhakar, B.
署名单位：
University of California System; University of California Los Angeles; University of California System; University of California Los Angeles
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177004831
发表日期：
1995
页码：
121-127
关键词：
摘要：
In this note we observe that the recent argument of Ekhaus and Gray combined with the approach of Liggett and Shiga shows that the limit from passing a stationary ergodic arrival process of rate alpha < 1 through a sequence of independent, rate one, exponential server queues is a Poisson process of rate alpha. This builds on work of Liggett and Shiga and Anantharam.