Insensitivity of proportional fairness in critically loaded bandwidth sharing networks

M. Vlasiou, J. Zhang, B. Zwart

Onderzoeksoutput: Boek/rapportRapportAcademic

Uittreksel

Proportional fairness is a popular service allocation mechanism to describe and analyze the performance of data networks at flow level. Recently, several authors have shown that the invariant distribution of such networks admits a product form distribution under critical loading. Assuming exponential job size distributions, they leave the case of general job size distributions as an open question. In this paper we show that product form in heavy traffic still holds for general distributions, thus settling the conjecture. More importantly, we establish insensitivity of proportional fairness in heavy traffic. Keywords: Brownian approximations, Lyapunov functions, network utility maximization
TaalEngels
Uitgeverijs.n.
Aantal pagina's31
StatusGepubliceerd - 2014

Publicatie series

NaamarXiv.org
Volume1411.4841 [math.PR]

Vingerafdruk

Bandwidth
Lyapunov functions

Citeer dit

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Insensitivity of proportional fairness in critically loaded bandwidth sharing networks. / Vlasiou, M.; Zhang, J.; Zwart, B.

s.n., 2014. 31 blz. (arXiv.org; Vol. 1411.4841 [math.PR]).

Onderzoeksoutput: Boek/rapportRapportAcademic

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