Burstiness Descriptors Of Traffic Streams: Indices Of Dispersion And Peakedness

Abstract

The burstiness of a traffic stream can have a profound effect on performance statistics in the queue to which the stream is offered, such as line length, waiting times and blocking probabilities. Mathematical descriptors quantifying burstiness should be versatile enough to characterize burstiness, yet analytically tractable to permit numerical calculation. This paper surveys two important descriptors of burstiness: indices of dispersion and peakedness. It discusses their effect on queueing statistics and illustrates them via an example from the domain of TES traffic streams. A conclusion of this example is that peakedness is more general than indices of dispersion. 1 Introduction The effect of burstiness on queueing systems has been long recognized by telephone traffic engineers and other workers [4, 14, 15]. Intuitively, burstiness is present in a discrete traffic process, if its arrival points appear to form visual clusters. The mathematical underpinning of burstiness are less obvi...

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