具有Bernoulli反馈的离散时间服务门限轮询系统

Service Gated Discrete-time Polling System with Bernoulli Feedback

本文对具有Bernoulli反馈服务门限非对称的轮询系统 ,通过Markov链理论和概率母函数的方法进行研究 ,推导出了各站轮询时刻访问间隔时间、轮询周期、每站的服务时间、每站的队长、第i站 (i=1,2 ,…N)

This paper analyzes asymmetric limited gated service polling system with Bernoulli feedback. By the imbedded Markov chain theory and the probability generating function method,The authors derive the generating function of intervisit time , polling cycle time , service time of each station and queue length in the each station .Furthermore , the successive sojourn time of customer C in ith station (i=1,2,...N) and queue length after the (m-1)th service are obtained.