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 allowing the conservation of 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. We show that, using a time-space-transition-scaling, 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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ITC.2010.5608726 | Teletraffic Congress |
Keywords | Field | DocType |
channel allocation,computer network performance evaluation,telecommunication networks,telecommunication traffic,bandwidth allocation,differential equations,multiclass communication networks,performance analysis,time space transition scaling,traffic surge | Resource management,Differential equation,Telecommunications network,Markov process,Bandwidth allocation,Computer science,Quality of service,Computer network,Real-time computing,Channel allocation schemes,Asymptotic analysis | Conference |
ISBN | Citations | PageRank |
978-1-4244-8835-3 | 1 | 0.36 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthieu Jonckheere | 1 | 101 | 8.67 |
| Rudesindo Núñez-Queija | 2 | 154 | 15.97 |
| Balakrishna J. Prabhu | 3 | 61 | 9.24 |
| Nunez-Queija, R. | 4 | 5 | 0.85 |