M/G/1系统随机型成批服务的排队过程

ON THE QUEUEING PROCESSES IN THE SYSTEM M/G/I WITH STOCHASTIC BULK SERVICE

本文研究了M/G/1系统中服务容量为随机数的成批服务排队过程。完成了其嵌入Markov链的状态分类;求出了平稳状态下队长的母函数和一些数量指标。

This paper deals with the processes in the system M/G/l with bulk service, in which the size of batch is a stochastic quantity. The state classification for the imbedded Markov chain is completed and the generating function of the queue length and some quantity indexes are also obtained.