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Stochastic inequalities for single-server loss queueing systems

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.

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BibTeXRIS

Vyacheslav M. Abramov. 2006-11-22. Stochastic inequalities for single-server loss queueing systems. https://doi.org/10.1080/07362990600958994

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