Now showing items 11-14 of 14
Heavy Traffic Limits Associated with M|GI|Input Processes
We study the heavy traffic regime of a discrete-time queue driven by correlated inputs, namely the M|GI|input processes of Cox. We distinguish between M|GI|processes with short- and long- range dependence, identifying ...
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 ...
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 ...