多类顾客循环来到排队系统等待时间的极限定理

Weak Convergence of Waiting Timefor Multi- class Cyclic Arrival Queuing Systems

讨论了具有单个服务台和Ｋ（ Ｋ≥１） 类顾客循环来到的排队系统的等待时间过程。首先利用该系统和ＧＩ／Ｇ／１ 系统的关系得到实等待时间的极限定理。

In this paper,the waiting time processes for multi - class cyclic arrival queuing systems(MCCAQS) with a server are considered .Weak convergence ofthe waitingtimefor MCCAQSisfirstly obtained bythe relations between MCCAQSand GI/G/1 system .And then ,weak convergencetheorems ofthe virtual waitingtime processes are obtained .