Stochastic inequalities for single-server loss queueing systems

被引：5
|
作者：
Abramov, Vyacheslav M. [1 ]
机构：
[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2006年 / 24卷 / 06期
关键词：
loss probability; probability distribution classes; single-server queueing systems; stochastic inequalities;
D O I：
10.1080/07362990600958994
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present article provides some new stochastic inequalities for the characteristics of the M/GI/1/n and GI/M/1/n loss queueing systems. These stochastic inequalities are based on substantially deepen up- and down-crossings analysis, and they are stronger than the known stochastic inequalities obtained earlier. Specifically, for a class of GI/M/1/n queueing system, two-side stochastic inequalities are obtained.
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页码：1205 / 1221
页数：17
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