Title
Generalized processor sharing with heterogeneous traffic classes
Abstract
We consider a system with two heterogeneous traffic classes, one having light-tailed characteristics, the other one exhibiting heavy-tailed properties. The two traffic classes are served in accordance with the Generalized Processor Sharing (GPS) discipline. GPS-based scheduling algorithms, such as Weighted Fair Queueing (WFQ), have emerged as an important mechanism for achieving service differentiation in integrated-services networks.We determine the workload asymptotics of the light-tailed class for the situation where its GPS weight is larger than its traffic intensity. The GPS mechanism ensures that the workload is bounded above by that in an isolated system with the light-tailed class served in isolation at a constant rate equal to its GPS weight. We show that the workload distribution is in fact asymptotically equivalent to that in the isolated system, multiplied with a certain pre-factor, which accounts for the interaction with the heavy-tailed class. Specifically, the pre-factor represents the probability that the heavy-tailed class is backlogged long enough for the light-tailed class to reach overflow. The results provide crucial qualitative insight in the typical overflow scenario.
Year
DOI
Venue
2001
10.1145/507553.507570
SIGMETRICS Performance Evaluation Review
Keywords
Field
DocType
fluid queue,heavy tail,scheduling algorithm,weighted fair queueing,generalized processor sharing
Workload,Computer science,Scheduling (computing),Traffic intensity,Bounded set,Isolated system,Real-time computing,Generalized processor sharing,Global Positioning System,Weighted fair queueing,Distributed computing
Journal
Volume
Issue
Citations 
29
3
9
PageRank 
References 
Authors
0.70
16
3
Name
Order
Citations
PageRank
Sem C. Borst11504150.76
Michel Mandjes253473.65
Miranda Van Uitert31036.97