Stochastic inequalities for single-server loss queueing systems

Vyacheslav M. Abramov

doi:10.1080/07362990600958994

paper

Stochastic inequalities for single-server loss queueing systems

arXiv:math/0505068 · doi:10.1080/07362990600958994

Abstract

The present paper provides some new stochastic inequalities for the characteristics of the $M / G I /1/ n$ and $G I / M /1/ n$ 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 $G I / M /1/ n$ queueing system, two-side stochastic inequalities are obtained.

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