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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 ...
On the Effective Bandwidth of the Output Process of a Single Server Queue
We show that the initial condition of the buffer content in a G/G/1 queue satisfies a Sample Path Large Deviations Principle with convex good rate function, provided it has an exponential decay rate. This result is then ...