HP Labs Technical Reports

Queue Lengths and Departures at Single-Server Resources

O'Connell, Neil

HPL-BRIMS-96-04

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Abstract: In this paper I will review and illustrate some large deviation results for queues with interacting traffic, both from shared buffer and shared capacity models. These results are examples of a general scheme which can be applied to an endless variety of network problems where the goal is to establish probability approximations for aspects of a system (such as queue lengths) under very general ergodicity and mixing assumptions about the network inputs.

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