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Large deviations for departures from a shared buffer

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 Laboratories, Filton Road, Stoke Gifford, Bristol BS12 6QZ, UK.
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Abstract

In this paper we describe how the joint large deviation properties of traffic streams are altered when the traffic passes through a shared buffer according to a FCFS service policy with stochastic service capacity. We also consider the stationary case, proving large deviation principles for the state of the system in equilibrium and for departures from an equilibrium system.

Keywords

LARGE DEVIATIONSQUEUEING NETWORKS

MSC classification

Primary: 60F10: Large deviations 60K25: Queueing theory 60K30: Applications (congestion, allocation, storage, traffic, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 3 , September 1997 , pp. 753 - 766
Copyright
Copyright © Applied Probability Trust 1997 

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