Large deviations for departures from a shared buffer

Neil O’Connell

25 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Stochastic processes and statistical mechanics Probability and Risk Models

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.

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References

1994Stability, queue length, and delay of deterministic and stochastic queueing networks 1995Large deviations and overflow probabilities for the general single-server queue, with applications 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue 1989A quick simulation method for excessive backlogs in networks of queues 2002Effective bandwidths of departure processes from queues with time varying capacities 1994Effective bandwidth and fast simulation of ATM intree networks 1995The Large Deviation Principle for a General Class of Queueing Systems I 1998On the large deviations behavior of acyclic networks of $G/G/1$ queues

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1998Large Deviations estimates for Polling and Weighted Fair Queueing service systems 1998Large Deviations for Queue Lengths at a Multi-Buffered Resource 1998Functional Large Deviation Principles for Waiting and Departure Processes 2004Many Sources Asymptotics for Networks with Small Buffers

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