The authors present a general solution technique for thediscrete-time queuing analysis of ATM (asynchronous transfer mode)systems. The traffic is characterized as an r-dependent Markovmodulated phase-type process, and the queue is assumed to have finitecapacity and multiple servers with fixed service time. The queue isfunctionally modeled as a nonlinear feedback loop and a procedure isdeveloped to construct, efficiently and systematically, the stationaryequations to determine the joint phase-occupancy distribution, fromwhich the exact queuing delay and the cell loss performance can bedetermined. It is suggested that the proposed technique will facilitateATM system design and performance analysis, ATM switch design, bufferdimensioning, and developing congestion control strategies
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