Heavy traffic analysis of M/G/1 type queueing systems with Markov-modulated arrivals

被引：0

作者：

Gennadi Falin

Anatoli Falin

机构：

[1] Moscow State University,Department of Probability Mechanics and Mathematics Faculty

[2] Moscow State University,Department of General Mathematics Faculty of Computational Mathematics and Cybernetics

来源：

Top | 1999年 / 7卷 / 2期

关键词：

Single Server Queue; Heavy Traffic; 60K25;

D O I：

10.1007/BF02564727

中图分类号：

学科分类号：

摘要：

M/G/1 type queueing systems whose arrival rate is a function of an independent continuous time Markov chain are considered. We suggest a simple analytical approach which allows rigorous mathematical analysis of the stationary characteristics under heavy traffic. Their asymptotic behaviour is described in terms of characteristics of the modulating process (defined as a solution of a set of linear algebraic equations). The analysis is based on certain “semi-explicit” formulas for the performance characteristics.

引用

页码：279 / 291

页数：12

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