Title of article :
Analyzing Weighted Round Robin policies with a stochastic comparison approach
Author/Authors :
Mouad Ben Mamoun، نويسنده , , Jean-Michel Fourneau، نويسنده , , Nihal Pekergin، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2008
Pages :
12
From page :
2420
To page :
2431
Abstract :
We study queuing delays for Weighted Round Robin (WRR) scheduling policies. The delay characteristics of these policies can be estimated through worst-case bounds as other fair queuing scheduling policies. However, these deterministic bounds are in general not accurate and they require that the input process has been shaped. Under Markovian arrival hypothesis, the delay of WRR policies can be evaluated through Markovian numerical analysis. Nevertheless, this analysis is limited to small parameter sizes because of the state space explosion problem. We propose to apply the stochastic comparison approach. We build a bounding model based on the aggregation of sessions, and we show that under the same arrivals, the packet delays in the bounding model are larger in the st stochastic order sense than the packet delays in the original model. Due to this aggregation, the state space size is drastically reduced and we are able to provide stochastic delay bounds for WRR policies. We discuss the accuracy of the proposed bounds through numerical examples.
Keywords :
Stochastic comparison , Weighted Round Robin scheduling policies , Sample-path stochastic ordering
Journal title :
Computers and Operations Research
Serial Year :
2008
Journal title :
Computers and Operations Research
Record number :
927498
Link To Document :
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