摘要
讨论具有Bernoulli反馈的Geo~ξ/Geo/1排队系统,利用Markov链理论与概率母函数的方法,给出该系统在平稳条件下队长的概率母函数及期望,忙期的概率母函数方程及期望。利用平稳队长与顾客逗留时间序列的关系式,给出顾客逗留时间的分布。而文[1]是本文的一个特例。
In the paper we discuss the queueing system Geoξ/Geo/1 with Beronulli feedback.By the imbedded Markov chain theory and the probability generating function method,we give the probability generating function of the queue sizes and mean, the equation of probability generating function of busy periods and mean in stable conditions for this system.In stable conditions.Using the relation of queuing sizes and sequence of sojourn time,we give the probability generationg function of sojourn time.
出处
《重庆师范大学学报(自然科学版)》
CAS
2004年第2期8-11,共4页
Journal of Chongqing Normal University:Natural Science