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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:
Stochastic Analysis and Applications,
Volume
24,
Issue
6
December
2006
, pages 1205
- 1221
Stochastic Analysis and Applications,
Volume
24,
Issue
6
December
2006
, pages 1205
- 1221
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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.
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| Keywords: Loss probability; Probability distribution classes; Single-server queueing systems; Stochastic inequalities |
| 1991 Mathematics Subject Classification: 60K25; 60E15 |
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