Name
Abstract | ||
|---|---|---|
In multi-class communication networks, traffic surges due to one class of
users can significantly degrade the performance for other classes. During these
transient periods, it is thus of crucial importance to implement priority
mechanisms that conserve the quality of service experienced by the affected
classes, while ensuring that the temporarily unstable class is not entirely
neglected. In this paper, we examine -- for a suitably-scaled set of parameters
-- the complex interaction occurring between several classes of traffic when an
unstable class is penalized proportionally to its level of congestion. We
characterize the evolution of the performance measures of the network from the
moment the initial surge takes place until the system reaches its equilibrium.
Using a time-space-transition-scaling, we show that the trajectories of the
temporarily unstable class can be described by a differential equation, while
those of the stable classes retain their stochastic nature. In particular, we
show that the temporarily unstable class evolves at a time-scale which is much
slower than that of the stable classes. Although the time-scales decouple, the
dynamics of the temporarily unstable and the stable classes continue to
influence one another. We further proceed to characterize the obtained
differential equations for several simple network examples. In particular, the
macroscopic asymptotic behavior of the unstable class allows us to gain
important qualitative insights on how the bandwidth allocation affects
performance. We illustrate these result on several toy examples and we finally
build a penalization rule using these results for a network integrating
streaming and elastic traffic. |
Year | Venue | Keywords |
|---|---|---|
2011 | Clinical Orthopaedics and Related Research | quality of service,differential equation,bandwidth allocation |
Field | DocType | Volume |
Differential equation,Telecommunications network,Control theory,Bandwidth allocation,Quality of service,Surge,Engineering,Asymptotic analysis | Journal | abs/1101.4 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feuillet Mathieu | 1 | 0 | 0.34 |
| Matthieu Jonckheere | 2 | 101 | 8.67 |
| Balakrishna J. Prabhu | 3 | 61 | 9.24 |