Stability conditions of a queueing system model via fluid limits

Amina Angelika Bouchentouf

Applicationes Mathematicae (2013)

  • Volume: 40, Issue: 4, page 431-445
  • ISSN: 1233-7234

Abstract

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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?

How to cite

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Amina Angelika Bouchentouf. "Stability conditions of a queueing system model via fluid limits." Applicationes Mathematicae 40.4 (2013): 431-445. <http://eudml.org/doc/280082>.

@article{AminaAngelikaBouchentouf2013,
abstract = {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?},
author = {Amina Angelika Bouchentouf},
journal = {Applicationes Mathematicae},
keywords = {bin packing algorithms; ergodicity; fluid limits; multi-class queueing systems; bandwidth allocation},
language = {eng},
number = {4},
pages = {431-445},
title = {Stability conditions of a queueing system model via fluid limits},
url = {http://eudml.org/doc/280082},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Amina Angelika Bouchentouf
TI - Stability conditions of a queueing system model via fluid limits
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 4
SP - 431
EP - 445
AB - 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?
LA - eng
KW - bin packing algorithms; ergodicity; fluid limits; multi-class queueing systems; bandwidth allocation
UR - http://eudml.org/doc/280082
ER -

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