Approximated teletraffic analysis for the performance evaluation of mobile cellular networks with MMPP-2 new call arrivals

Abstract

In this paper, the performance of mobile multi-cellular networks with time-varying traffic is mathematically analyzed and numerically evaluated. To model time-varying traffic demand, new call requests in each cell are considered to follow an independent two-state Markov Modulated Poisson Process (MMPP). A novel approximated teletraffic analysis for the system-performance evaluation is proposed and developed. The proposed analysis is based on both a bi-dimensional and a tri-dimensional birth and death processes. In our developed queuing analysis, handoff call requests arriving to the reference cell are modeled through a seven-state MMPP. Contrary to previously published related works, the parameters of the MMPP are iteratively calculated as function of the different system parameters. Numerical results obtained with the proposed approximated method are compared against those obtained by both a teletraffic analysis considering that handoff call requests follow a Poisson process and a discrete-event simulation study. The effect of users' mobility factor and burstiness of new call arrivals on the system performance are evaluated.