Large deviations approximation for fluid queues fed by a large number of on/off sources

Alain D. Simonian · Jacky Guibert

100 citations0/0 files storedIEEE Journal on Selected Areas in Communications

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Probability and Risk Models

Abstract

A general logarithmic equivalent is given for the stationary complementary distribution function of a fluid queue fed by a large number of on/off sources. Close asymptotic approximations are also provided. These approximations are numerically validated and applied to the dimensioning of an ATM multiplexer offered variable bit rate sources of general on/off type.>

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References

1982Stochastic Theory of a Data-Handling System with Multiple Sources 1994A storage model with self-similar input 1991Analysis of separable Markov-modulated rate models for information-handling systems 1991Analysis of separable Markov-modulated rate models for information-handling systems 1991The superposition of variable bit rate sources in an ATM multiplexer 1986A new technique for analyzing large traffic systems

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1999Cell loss asymptotics for buffers fed with a large number of independent stationary sources 2001Sample path large deviations for queues with many inputs 1996Heavy traffic analysis of a storage model with long range dependent On/Off sources 2002Cell loss asymptotics in buffers fed with a large number of independent stationary sources 2001On the performance of multiplexing independent regulated inputs 2001Large Deviations for Small Buffers: An Insensitivity Result 2003Exact overflow asymptotics for queues with many Gaussian inputs

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