Palaniappa, Malathi.

ATM multiplexing, (which is essentially a statistical multiplexing process with priority constraints) leads to a departure pattern of cells on the trunk (or bearer) line, characterized by the profiles of incoming traffics at the multiplexer. Such profiles are decided by the bit-rate variations and workload fluctuations of the associated sources, namely voice, data and video of the cells. Bit rate statistics of incoming traffic with priority constraints decide the clustered and/or non-clustered epochs of cells on the multiplexed fine. If the incoming traffic is delay-sensitive, it gets the priority in the multiplexing strategy and the associated cells inbiting no clusters; whereas, the non-isochronous traffics (facing low priority flow service) induce stagnation in the queue and pose eventually a clustered structure of cells on the trunk line. Workload fluctuation is largely application-dependent. The corresponding teletraffic statistics would also show deviations in the performance from the mean-field regime. In essence, the cell-stream departing from ATM multiplexer would exhibit statistics of deviations. In the present study, the associated delay parameter is considered and modeled under constant and variable bit rate conditions for fluctuating workloads. Mean-field theory is applied in modeling constant bit rate traffics. For variable and bursty rate transmissions, it is shown that the delay is governed by a non-homogeneous compound Poisson process. Relevant statistical bounds are established via large-deviation theory. Determination of the bounds of ATM cell-delay variations is important in developing call admission control algorithms.