A Video Traffic Model Based on the Shifting-Level Process: the Effects of SRD and LRD on Queueing Behavior

AbsfractRecently, a number of empirical studies have demonstrated the existence of long-range dependence (LRD) or self-similarity in VBR video traffic. Since previous LRD models cannot capture all shortand long-term correlation and rate-distribution while still retaining mathematical tractability, there exist many doubts on the importance of SRD, LRD, and ratedistribution on traffic engineering. In this paper, we present a video traffic model based on the shifting-leuel (SL) process with an accurate parameter matching algorithm for video traffic. The SL process captures all those key statistics of an empirical video trace. Also, we devised a queueing analysis method of SL/D/l/K, where the system size a t every embedded point is quantized into a fixed set of values, thus name quantization reduction method. This method is different from previous LRD queueing results in that it provides queueing results over all range not just an asymptotic solution. Further, this method provides not only the approximation but also the bounds of the approximation for the system states and thus guarantees the accuracy of the analysis. Especially, we found that for most available traces their ACF can be accurately modeled by a compound correlation (SLCC): an exponential function in short range and a hyperbolic function in long range. Comparing the queueing perforamces with C-DAR(l), the SLCC, and real video traces identifles the eflecta of SRD and LRD in VBR video trafflc on queueing performance. Keywords-VBR video tramc model, shifting-level process (SL), autocorrelation, long-range dependence (LRD), shortrange dependence (SRD), queueing analysis.