ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue: Rare event simulation
The output of a switch, or, effective bandwidths for networks
Queueing Systems: Theory and Applications
A Large Deviation Principle for Join the Shortest Queue
Mathematics of Operations Research
NET-COOP '09 Proceedings of the 3rd Euro-NF Conference on Network Control and Optimization
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In wireless telecommunication networks, there is a strong interest in energy efficiency. Sleep-mode mechanisms, which temporarily switch off mobile devices or base stations, are popular means to attain this goal. We look at the performance of different sleep-mode mechanisms with large-deviations tools. These allow us to look at a general multi-user model, for which we obtain a sample path large-deviations principle. As the system equations exhibit discontinuous boundaries, there are some mathematical obstacles to overcome. The results shed light on the trade-off between buffer overflow and energy consumption. We illustrate the results in scenarios with one and multiple mobile stations.