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Stochastic Inequalities for Single-Server Loss Queueing Systems 

Author: Vyacheslav M. Abramov a
Affiliation:   a School of Mathematical Sciences, Monash University, Clayton, Australia
DOI: 10.1080/07362990600958994
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 24, Issue 6 December 2006 , pages 1205 - 1221
Formats available: HTML (English) : PDF (English)
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Abstract

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.
Keywords: Loss probability; Probability distribution classes; Single-server queueing systems; Stochastic inequalities
1991 Mathematics Subject Classification: 60K25; 60E15
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