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.

引用

页码：8 / 25

页数：18

共 27 条

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