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...of packet interarrivals clearly differs from exponential [JR86, G90, FL91, DJCME92]. Recent work argues convincingly that LAN traffic is much better modeled using statisticallysself-similar processes =-=[LTWW94], which ha-=-ve much different theoretical properties than Poisson processes. For self-similar traffic, there is no natural length for a "burst"; traffic bursts appear on a wide range of time scales. In ...

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... rapidly than any other traffic type [12], understanding the nature of WWW traffic is important and is expected to increase in importance. The benchmark study of self-similarity in network traffic is =-=[14, 16]-=-, and our study uses many of the same methods used therein. However, the goal of that study was to demonstrate the self-similarity of network traffic; to do that, many large datasets taken from a mult...

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...ene activity. For video conferencing, for example, H tends to be smaller, typically between 0.60 - 0.75 [BERA93]. Computer traffic can be much more active, with measured H-values often close to unity =-=[LELA93]-=-. 4 VBR Video Model Construction and Traffic Generation We can now construct a source model for use in computer simulations that captures two important aspects from our analysis of the VBR video trace...

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...absence of a characteristic size of a traffic burst. To assess this effect, the server workload data (i.e., bytes transferred per unit of time) were plotted and inspected visually, as in Leland et al =-=[13]-=-. The results are shown in Figure 6, for four different time scales. The topmost graph (1000 second intervals) shows the full week of ClarkNet data, in which a distinct daily usage pattern is seen. Th...

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...utions. 1 Introduction Power law distributions (also often referred to as heavy-tail distributions, Pareto distributions, Zipfian distributions, etc.)are now pervasive in computer science; see, e.g., =-=[6, 8, 7, 13, 16, 18, 19, 21, 22, 24, 28, 29, 34, 35, 37, 38, 39, 49, 55]-=-. 1 This paper was motivated by a recent paper by Downey [22] challenging the now conventional wisdom that file sizes are governed by a power law distribution. The argument was substantiated both by c...

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...ging timescale τ increases. We note that if A τ is self-similar, the variance Var{A τ } decreases slowly, in the sense that the decrease of Var{A τ } as τ increases is slower than the reciprocal of τ =-=[26]-=-. 1.2 Main contributions In this paper, we present an original end-to-end avail-bw measurement methodology, called Self-Loading Periodic Streams or SLoPS. The basic idea in SLoPS is that the one-way d...

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...ental Growth Although we would like to assume that there is a well-defined average load and that arriving traffic follows a Poisson distribution, burstiness has been demonstrated for Ethernet traffic =-=[33]-=-, file system traffic [26], and Web requests [16], and is confirmed by our traces of web traffic (discussed later). In addition, Internet services can experience relatively rare but prolonged bursts o...