Characterisation of the output process of a discrete-time GI / D / 1 queue, and its application to network performance

Bart Steyaert (), Sabine Wittevrongel and Herwig Bruneel
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Bart Steyaert: Ghent University - UGent
Sabine Wittevrongel: Ghent University - UGent
Herwig Bruneel: Ghent University - UGent

Annals of Operations Research, 2017, vol. 252, issue 1, No 10, 175-190

Abstract: Abstract In this paper we use the burst factor of a packet stream, which is defined in a general setting, to quantify the long-term variability, or burstiness, of such a stream. We briefly review some existing results to show that this parameter plays an important role in the performance assessment and dimensioning of buffers in network nodes, even in a non-Markovian setting. We then focus on the calculation of this parameter at the egress of a discrete-time GI / D / 1 queueing system, considering different routing scenarios, and show how it can be expressed in terms of the parameters that characterise the arrival process in such a queue. In addition, we demonstrate how these results can be applied to evaluate the buffer performance in the subsequent nodes of a network. The analytic results that are derived throughout this paper are supported by simulations.

Keywords: Source burstiness; Traffic modelling; Burst factor; Asymptotic variance; Output process; Buffer dimensioning; GI / D / 1 queue; Network routing (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10479-015-2049-4

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