Delay model of RTP flows in accordance with M/D/1 and M/D/2 Kendall's notation

Abstract

This article deals with the mathematical model of an end-to-end delay and a delay variation in VoIP connections going through a two priority queue' serving system. We focused on delay caused by network components and its mathematical formulations. Our mathematical computational model is able to predict an estimated delay of packets in RTP flows, especially dealy variation in routers handling RTP packets in priority queue. We applied M/D/1 and M/D/2 queuing models and we expressed a probability of RTP packets waiting in the queue and all partial delay components and mechanisms. We determined the domain of validity in performed experiments and the proposed mathematical model is suitable for the approximation of voice traffic in network with priority queuing which consists of sources with the Poisson’s probability distribution.