Asymptotic analysis of queueing systems with identical service

被引：5
|
作者：
Karpelevitch, FI [1 ]
Kreinin, AY [1 ]
机构：
[1] UNIV TORONTO, COMP SYST RES INST, TORONTO, ON M5S 1A1, CANADA
来源：
JOURNAL OF APPLIED PROBABILITY | 1996年 / 33卷 / 01期
关键词：
arrival process; heavy traffic limits; identical service; joint stationary distributions; queueing systems; reflected diffusion processes; sojourn times; waiting times; weak convergence;
D O I：
10.2307/3215283
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We consider a heavy traffic regime in queueing systems with identical service. These systems belong to the class of multi-phase systems with dependent service times in different service nodes. We study the limit behaviour of the waiting time vector in heavy traffic. Both transient behaviour and the stationary regime are considered. Our analysis is based on the conception of 'approximated functionals', which appeared to be fruitful in weak convergence theory of stochastic processes.
引用
收藏
页码：267 / 281
页数：15
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