On modeling of fluctuations in quasi-static approach describing the temporal evolution of retry traffic

We previously introduced a traffic model that describes the behavior of the retry traffic created by users who are impatient when waiting for a service to be provided. The behavior can be described in a simple form if it is assumed that the system offers infinitely fast processing (i.e. ideal). Moreover, we proposed the quasi-static approach that replicates the temporal evolution of traffic in finite speed (i.e. actual) systems. In the quasi-static approach, the difference between the behavior of the ideal system and that of the actual system is treated as stochastic fluctuation. However, work presented to date not verified that the quasi-static approach can express the traffic model. This paper calculates the temporal evolution of traffic in the M/M/l based model with retry traffic by traditional Monte-Carlo simulations and the quasi-static approach. The results show that quasi-static approach is as good as the traditional approach in modeling the traffic.