Perturbation Analysis of M/M/1 Queue

被引：0
|
作者：
Abbas, Karim [1 ]
Aissani, Djamil [1 ]
机构：
[1] Univ Bejaia, Lab LAMOS, Bejaia 06000, Algeria
来源：
RAPID MODELLING AND QUICK RESPONSE: INTERSECTION OF THEORY AND PRACTICE | 2010年
关键词：
MARKOV-CHAINS; SERIES EXPANSIONS; STRONG STABILITY;
D O I：
10.1007/978-1-84996-525-5_1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper treats the problem of evaluating the sensitivity of performance measures to changes in system parameters for a specific class of stochastic models. Motivated by the problem of the coexistence on transmission links of telecommunication networks of elastic and unresponsive traffic, we study in this paper the impact on the stationary characteristics of an M/M/1 queue of a small perturbation in the server rate. For this model we obtain a new perturbation bound by using the Strong Stability Approach. Our analysis is based on bounding the distance of stationary distributions in a suitable functional space.
引用
收藏
页码：3 / 15
页数：13
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