Artículo
Large deviations for the stationary measure of networks under proportional fair allocations
Fecha de publicación:
06/2013
Editorial:
Informs
Revista:
Mathematics Of Operations Research
ISSN:
0364-765X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We address a conjecture introduced by Massouli´e (2007), concerning the large deviations of the stationary measure of bandwidth-sharing networks functioning under the Proportional fair allocation. For Markovian networks, we prove that Proportional fair and an associated reversible allocation are geometrically ergodic and have the same large deviations characteristics using Lyapunov functions and martingale arguments. For monotone networks, we give a more direct proof of the same result relying on stochastic comparisons that hold for general service requirement distribution. These results comfort the intuition that Proportional fairness is ´close´ to allocations of service being insensitive to the service time requirement.
Palabras clave:
Stochastic Networks
,
Large Deviations
,
Proportional Fairness
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Jonckheere, Matthieu Thimothy Samson; Lopez, S.; Large deviations for the stationary measure of networks under proportional fair allocations; Informs; Mathematics Of Operations Research; 39; 2; 6-2013; 418-431
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