STABILITY OF GENERALIZED JACKSON NETWORKS
成果类型：
Article
署名作者：
Meyn, S. P.; Down, D.
署名单位：
University of Illinois System; University of Illinois Urbana-Champaign
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177005203
发表日期：
1994
页码：
124-148
关键词：
摘要：
In this paper we study open generalized Jackson networks with general arrival streams and general service time distributions. Assuming that the arrival rate does not exceed the network capacity and that the service times possess conditionally bounded second moments, we deduce stability of the network by bounding the expected waiting time for a customer entering the network. For Markovian networks we obtain convergence of the total work in the system, as well as the mean queue size and mean customer delay, to a unique finite steady state value.