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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 ...
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 ...
Simple Optimization Problems via Majorization Ordering
We introduce and explicitly solve a novel class of optimization problems which are motivated by load assignment issues in crossbar switches with output queueing. The optimization criterion is given in the majorization ...
Stochastic Comparison Results for Non-Blocking Switches with Output Queueing
We propose a systematic approach to quantify the impact of nonuniform traffic on the performance of non-blocking switches with output queueing. We do so in the context of a simple queueing model where cells arrive to input ...