Stochastic inequalities for single-server loss queueing systems

Vyacheslav M. Abramov

doi:10.1080/07362990600958994

Stochastic inequalities for single-server loss queueing systems

Probability 2007-05-23 v5

Authors: Vyacheslav M. Abramov

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Abstract

The present paper 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

queueing theory

Cite

@article{arxiv.math/0505068,
  title  = {Stochastic inequalities for single-server loss queueing systems},
  author = {Vyacheslav M. Abramov},
  journal= {arXiv preprint arXiv:math/0505068},
  year   = {2007}
}

Comments

17 pages, 11pt To appear in Stochastic Analysis and Applications

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