A new solution technique for discrete queueing analysis of ATM system

The authors present a general solution technique for the discrete-time queuing analysis of ATM (asynchronous transfer mode) systems. The traffic is characterized as an r-dependent Markov modulated phase-type process, and the queue is assumed to have finite capacity and multiple servers with fixed service time. The queue is functionally modeled as a nonlinear feedback loop and a procedure is developed to construct, efficiently and systematically, the stationary equations to determine the joint phase-occupancy distribution, from which the exact queuing delay and the cell loss performance can be determined. It is suggested that the proposed technique will facilitate ATM system design and performance analysis, ATM switch design, buffer dimensioning, and developing congestion control strategies