多类顾客多服务台非强占优先排队系统的弱收敛极限  

Weak Convergence of Queueing System with HL Priority Discipline

作　　者：刘建民[1,2] 汪荣鑫[1,2] 

机构地区：[1]西安工程学院基础部 [2]上海铁道大学应用数学所

出　　处：《工程数学学报》1998年第1期56-62,共7页Chinese Journal of Engineering Mathematics

摘　　要：用概率测度弱收敛的理论研究了多类顾客多服务台非强占优先排队系统的弱收敛极限．在非强占优先原则下，通过构造延迟系统和辅助系统，利用原系统，延迟系统和辅助系统三者的关系，得到原系统中负荷、离去及队长过程的弱收敛极限．Abstract In this paper, weak convergence limits for multiple customers and multiple servers queueing system with HL priority discipline are considered by the theory of probability measure weak convergence. Limits of workload, departure and queue length processes of original system are obtained through introducing auxiliary system and delayed system by the relation among auxiliary system, delayed system and original system.

关 键 词：延迟系统 辅助系统 负荷过程 离去过程 队长过程 

分 类 号：O226[理学—运筹学与控制论]