高负荷情形批处理排队网络的扩散极限理论

Limit Diffusion of a Batch Processing Queuing Networks Under the Heavy Traffic Intensity

在标准排队网络极限理论的基础上,本文定义并研究了一类批处理排队网络。利用随机分析的方法,证明了高负荷情形下,各服务台队长的极限扩散存在,并给出了极限扩散的具体形式。

Based on limit theorems of the standard queueing network,this paper defines a class of batch processing queueing networks. and gives limit diffusion for queue length of each service station when the traffic intensity is more then one.