Performance, interarrival, and correlation analysis of four-phase MMPP model in ATM-based B-ISDN

The MMPP has been used to model various B-ISDN sources, such as voice and video, as well as characterising the superposed traffic. It is able to capture the time-varying arrival rates and correlations between the interarrival times. This model is analytically tractable and produces accurate results. The matrix performance analysis of the continuous four-phase MMPP/D/1 queue proved that this queue is able to catch the possible characteristics of the video services as well as the voice and data services. The probability distribution function, the mean, and the squared coefficient of variation of the interarrival distribution are obtained. The correlation effect on the cell loss probability and waiting time at the four arrival rates and the four transition rates, is investigated. The analytical performance analysis of the queue is compared with the simulation results