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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 06 > No. 6-2S

 
   

A Proportional Differentiation Model Based on Service Level

PP: 453S-461S
Author(s)
Ki-Seok Choi,
Abstract
In this paper, we consider a proportional differentiation model based on the performance metric of service level while most existing researches on the proportional differentiation use other metrics such as average waiting time and packet loss probability. We use a metric called unfill rate to measure the service level of the traffic classes. As an implementation method of the proportional differentiation model, we suggest a time-dependent priority scheduling which expresses the priority of the traffic class as a linear function. We find out how to adjust the priority function parameters to achieve the intended proportional differentiation through the asymptotic analysis of the queue waiting time distribution in a two-class queueing system with a Poisson arrival process. Numerical experiments show that the scheduling method is effective for implementing the proportional differentiation model especially when the required service levels are high.

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