Strong Stability of the Batch Arrival Queueing Systems

被引：2
|
作者：
Boukir, L. [1 ]
Bouallouche-Medjkoune, L. [1 ]
Aissani, D. [1 ]
机构：
[1] Univ Bejaia, Lab Modeling & Optimizat Syst, Targua Ouzamour 06000, Algeria
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2010年 / 28卷 / 01期
关键词：
Approximation; Batch arrival queues; Batch size; Geometric distribution; Perturbation; Strong stability; SERIES EXPANSIONS; QUEUES;
D O I：
10.1080/07362990903417904
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we use the strong stability method to study the batch arrival queue after a perturbation of the batch size distribution. We show that, under some hypotheses, the characteristics of the batch arrival queueing system MX/M/1 may be approximated by the correspondent characteristics of the system MGeo/M/1. After clarifying the conditions of approximation, we obtain stability inequalities with an exact computation of constants.
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页码：8 / 25
页数：18
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