The Asymptotic Behavior of Queueing Systems: Large Deviations Theory and Dominant Pole Approximation

Abstract

This paper presents the exact asymptotics of the steady state behavior of a broad class of single-node queueing systems. First we show that the asymptotic probability functions derived using large deviations theory are consistent (in a certain sense) with the result using dominant pole approximations. Then we present an exact asymptotic formula for the… (More)
DOI: 10.1007/BF01206550

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Cite this paper

@article{Mieghem1996TheAB, title={The Asymptotic Behavior of Queueing Systems: Large Deviations Theory and Dominant Pole Approximation}, author={Piet Van Mieghem}, journal={Queueing Syst.}, year={1996}, volume={23}, pages={27-55} }