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Summary: Impact of access rates on the
performance of networks
Urtzi Ayesta (LAAS-CNRS)
Michel Mandjes (Universiteit van Amsterdam)
Introduction
· Previous models, infinite access-rates:
DPS,PS, -fair allocation
· Single bottleneck and Linear network
· Fluid and Diffusion scaling. Diffusion
scaling allows to explicitly compute the
covariance matrix of the steady-state
number of flows
Single bottleneck
· DPS model. M classes. Poisson arrivals with
rate i and job sizes exponentially distributed
with mean 1/i
· Each class-i user is access-link limited at ri.
· Total capacity allocated to class-i user:
( )
( )
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