Bandwidth-sharing networks under a diffusion scaling

Urtzi Ayesta () and Michel Mandjes ()

Annals of Operations Research, 2009, vol. 170, issue 1, 58 pages

Abstract: This paper considers networks operating under α-fair bandwidth sharing. When imposing a peak rate (i.e., an upper bound on the users’ transmission rates, which could be thought of as access rates), the equilibrium point of the fluid limit is explicitly identified, for both the single-node network as well as the linear network. More specifically, a criterion is derived that indicates, for each specific class, whether or not it is essentially transmitting at peak rate. Knowing the equilibrium point of the fluid limit, the steady-state behavior under a diffusion scaling is determined. This allows an explicit characterization of the correlations between the number of flows of the various classes. Copyright Springer Science+Business Media, LLC 2009

Keywords: Bandwidth-sharing network; Linear-network; Access-rate limit; Diffusion scaling (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-008-0426-y

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