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?
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am40-4-4,
author = {Amina Angelika Bouchentouf},
title = {Stability conditions of a queueing system model via fluid limits},
journal = {Applicationes Mathematicae},
volume = {40},
year = {2013},
pages = {431-445},
zbl = {06254400},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-4-4}
}
Amina Angelika Bouchentouf. Stability conditions of a queueing system model via fluid limits. Applicationes Mathematicae, Tome 40 (2013) pp. 431-445. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-4-4/