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Large Deviations for Queue Lengths at a Multi-Buffered Resource

Part of: Limit theorems Special processes

Published online by Cambridge University Press:  14 July 2016

Neil O'Connell
Neil O'Connell*
Affiliation:
BRIMS
*
∗Postal address: BRIMS, Hewlett-Packard Labs, Bristol, BS12 6QT, UK.
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Abstract

In this paper we obtain the large deviation principle for scaled queue lengths at a multi-buffered resource, and simplify the corresponding variational problem in the case where the inputs are assumed to be independent.

Keywords

Large deviationsqueueing networksresource allocation

MSC classification

Primary: 60F10: Large deviations
Secondary: 60K25: Queueing theory 60K30: Applications (congestion, allocation, storage, traffic, etc.)
Type
Short Communications
Information
Journal of Applied Probability , Volume 35 , Issue 1 , March 1998 , pp. 240 - 245
Copyright
Copyright © Applied Probability Trust 1998 

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