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Tail Probabilities for M|G|input Processes (I): Preliminary Asymptotics
The infinite server model of Cox with arbitrary service time distribution appears to provide a very large class of traffic models - Pareto and log-normal distributions have already been reported in the literature for several ...
Buffer Overflow Probabilities for a Multiplexer with Self- Similar Traffic
We study the large buffer asymptotics of a multiplexer under two different self-similar traffic inputs, namely the so-called M G model of Cox and the fractional Gaussian noise input model. In the former case we show that ...
M|G|Input Processes: A versatile class of models for network traffic
We suggest the M|G|input process as a viable model for network traffic due to its versatility and tractability. To gauge its performance, we study the large buffer asymptotics of a multiplexer driven by an M|G|input ...