Stochastic Inequalities for Single-Server Loss Queueing Systems |
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| Authors: | Vyacheslav M Abramov |
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| Institution: | 1. School of Mathematical Sciences , Monash University , Clayton, Australia vyacheslav.abramov@sci.monash.edu.au |
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| Abstract: | 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 |
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