摘要
考虑的排队系统是单服务台,顾客的初始到来是依泊松过程来到服务台,顾客的服务时间是重尾分布,服务的原则是强占优先服务.在高负荷条件下对此模型进行研究,获得了系统中的负荷过程,离去过程和队长过程的扩散逼近.
A queueing model is consisted with a single server and a preemptive-resume discipline.Initiate customers go to the system at Poisson time points.Service time of customers has a heavy-tailed distribution.Diffiusion approximations for load process.Queue length process and departure process of the system in heavy traffic are obtained.
出处
《纯粹数学与应用数学》
CSCD
2010年第4期559-566,共8页
Pure and Applied Mathematics
基金
长安大学科技发展基金(CHD2006J04)
关键词
高负荷
重尾分布
强占优先服务
单服务台
扩散逼近
heavy traffic
heavy tailed distribution
preemptive resume priority discipline
a single-server
diffiusion approximations
