CONDENSATION IN LARGE CLOSED JACKSON NETWORKS
成果类型：
Article
署名作者：
Malyshev, Vadim A.; Yakovlev, Andrei V.
署名单位：
Inria; Universite de Orleans
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1996
页码：
92-115
关键词：
摘要：
We consider finite closed Jackson networks with N first come, first serve nodes and M customers. In the limit M ->infinity, N -> infinity, M/N -> lambda > 0, we get conditions when mean queue lengths are uniformly bounded and when there exists a node where the mean queue length tends to infinity under the above limit (condensation phenomena, traffic jams), in terms of the limit distribution of the relative utilizations of the nodes. In the same terms, we also derive asymptotics of the partition function and of correlation functions.