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arXiv 2005-05-04 DOI 10.1080/07362990600958994 0 views

Stochastic inequalities for single-server loss queueing systems

Abramov, Vyacheslav M.

Original · EN

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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