Why buffers in switching systems do not essentially improve QoS: an analytical case study for on/off source traffic

Gerhard Hasslinger; Markus Fiedler

doi:10.1117/12.473405

1 July 2002 Why buffers in switching systems do not essentially improve QoS: an analytical case study for on/off source traffic

Gerhard Hasslinger, Markus Fiedler

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Proceedings Volume 4865, Internet Performance and Control of Network Systems III; (2002) https://doi.org/10.1117/12.473405
Event: ITCom 2002: The Convergence of Information Technologies and Communications, 2002, Boston, MA, United States

Abstract

Trafﬁc models with a rate varying according to a Gaussian distribution are commonly used to evaluate statistical multiplexing in telecommunication systems. The superposition of a sufﬁcient large number of homogeneous MarkovianOn-Off sources asymptotically approaches an Ornstein-Uhlenbeck process (OUP) which represents a Gaussian process with exponential autocorrelation function. We derive a simple expression for the bandwidth demand under QoS constraints which is close to numerical OUP/D/1 analysis results over the entire parameter region with relevance to applications. In comparison, results of the ﬂuid ﬂow method for ﬁxed aggregation level are used to verify the OUP/D/1 asymptotics and to estimate its accuracy depending on the number of aggregated ﬂows. Moreover, the OUP/D/1 asymptotics provides a useful check of the accuracy of bounds and approximations proposed in the literature in order to improve the effective bandwidth principle. Based on analytical evaluation, the efﬁciency of buffers for voice trafﬁc is ﬁnally shown to be very limited, i.e. no more than 2% of bandwidth can be saved owing to buffers with regard to real time constraints and a predeﬁned loss probability as QoS demands for voice.

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Gerhard Hasslinger and Markus Fiedler "Why buffers in switching systems do not essentially improve QoS: an analytical case study for on/off source traffic", Proc. SPIE 4865, Internet Performance and Control of Network Systems III, (1 July 2002); https://doi.org/10.1117/12.473405

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