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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 ...
Large Size Asymptotics for Crossbar Switches with Input Queueing
With the advent of high-speed networks, various switch architectures have been proposed to meet the increasingly stringent performance requirements being placed on the underlying switching systems. In general, the performance ...
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 ...