A mathematical QoS model for multimedia flows on the basis of network calculus

This paper proposes a new mathematical QoS model called LRD_Q_Model for long range dependence (LRD) multimedia flows on the basis of network calculus theory. In LRD_Q_Model, the packets of a LRD flow are regulated by the Fractal Leak Bucket model at the edge nodes of networks and scheduled by the weighted fairness queuing (WFQ) model at each router of the transmission path. We give the service curve and the E2E bound formulations of our model through network calculus. Numerical results show that the LRD_Q_Model outperforms current QoS models in terms of lower E2E delay bound. Our numerical analysis also shows that both the LRD property and the WFQ weight have influence on the E2E delay bound of LRD_Q_Model, and the WFQ weight influences the E2E delay bound more greatly than the LRD property does.