Performance analysis of an N×N ATM switch with Markov modulated Poisson process under back-pressure mechanism

In this paper we present a performance study of an input/output buffered type ATM switch with backpressure mechanism with an MMPP process as input. The backpressure is exerted at the Head of Line (HOL) level to prevent output buffer cell loss. MMPP process is chosen due to its bursty nature able to capture multimedia source characteristics such as data and voice. We propose an approximate method to calculate the total waiting time in the switch. Numerical examples will be given for two states MMPP to quantitatively show the effects of output buffer size b on performance switch. The analysis is done by using structured stochastic matrices of M/G/I type and the obtained results extend those related to scalar case (Poisson process)