Geodesic
Stability conditions of a queueing system model via fluid limits
Amina Angelika Bouchentouf1
1 Department of Mathematics University Djillali Liabes of Sidi Bel Abbes B.P. 89, Sidi Bel Abbes 22000, Algeria
Applicationes Mathematicae, Tome 40 (2013) no. 4, pp. 431-445

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We study the ergodicity of a multi-class queueing model via fluid limits which have the advantage of describing the model in macroscopic form. We consider a model of processing bandwidth requests. Our system is defined by a network of capacity $C=N,$ and a queue which contains an infinite number of items of various sizes $1,$ $a'$ and $b'$ with $1 a' b' N.$ The problem considered is: Under what conditions on the parameters of some large classes of networks, do they reach the stationary regime?
DOI : 10.4064/am40-4-4
Keywords: study ergodicity multi class queueing model via fluid limits which have advantage describing model macroscopic form consider model processing bandwidth requests system defined network capacity queue which contains infinite number items various sizes problem considered under what conditions parameters large classes networks reach stationary regime

Amina Angelika Bouchentouf 1

1 Department of Mathematics University Djillali Liabes of Sidi Bel Abbes B.P. 89, Sidi Bel Abbes 22000, Algeria 
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Amina Angelika Bouchentouf. Stability conditions of a queueing system model via fluid limits. Applicationes Mathematicae, Tome 40 (2013) no. 4, pp. 431-445. doi: 10.4064/am40-4-4

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