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W. Willinger, V. Paxson, and M. S. Taqqu. A Practical Guide to Heavy Tails: Statistical Techniques and Applications, chapter Self-Similarity and Heavy Tails: Structural Modeling of Network Tra#c. Birhauser, 1998.

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Circuit Switching In The Internet - Fernandez (2003)   (Correct)

....and packets) sizes or durations (of flows and packets) transmission rates of flows . failures of network elements Based on those observations, we can make some assumptions of the system workload. The most fundamental one is that flow durations in the Internet have long and heavy tails [146, 56, 183, 23], as shown in Figure 1.6. It shows how fewer than 10 of the flows in a backbone link carry over 90 of the bytes transported in the link. There are, thus, two types of user flows: most flows are short; and then a few are very, very long and carry most of the bytes. These long flows may hog the ....

....up a link in the core (2.5 Gbit s and above) on its own. Second, it has been shown that whereas flow session arrivals are Poisson (or close to Poisson) 78, 45] flow sizes are not exponential, but rather heavy tailed, and thus they are closer to a Pareto distribution than an exponential one [84, 57, 183]. This chapter evaluates the end user response time with consideration of the characteristics of the current Internet. 3.3 LANs and shared access networks I will start with some examples to illustrate what may happen when circuit or packet switching is used. I will use a simple example to ....

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Walter Willinger, Vern Paxson, and Murad Taqqu. A Practical Guide to Heavy Tails: Statistical Techniques and Applications, chapter Self-similarity and Heavy Tails: Structural Modeling of Network Traffic, pages 27--54. R. Adler, R. Feldman, and M. S. Taqqu, editors. Birkh auser Verlag, Boston, 1998.


On the impact of variability on the buffer dynamics.. - Joo, Ribeiro.. (1999)   (4 citations)  Self-citation (Willinger)   (Correct)

.... contrast, large time scale variability that is consistent with self similar scaling over those time scales and has become a trademark of measured traffic rate processes can be achieved in a parsimonious manner by explicitly accounting for an adequate level of variability at the application layer [15, 14]. In fact, by replacing the infinite source model by a SURGE like workload generator [2] that is, by changing an infinite file transfer into an application that imitates a typical Web session (with appropriately chosen heavy tailed distributions to match the observed variability of various ....

W. Willinger, V. Paxson, and M. S. Taqqu. A Practical Guide to Heavy Tails: Statistical Techniques for Analyzing Heavy Tailed Distributions, chapter Self-similarity and heavy tails: Structural modeling of network Traffic. Birkhauser Verlag, Boston, 1998.


Dynamics of IP traffic: A study of the role of.. - Feldmann, Gilbert, .. (1999)   (112 citations)  Self-citation (Willinger)   (Correct)

....for fiber optic links to seconds for satellite links) and packet round trip times. At the same time, in today s Web dominated Internet, the sizes or durations of sessions, number of HTTP requests responses, TCP connections or IP flows typically span up to six orders of magnitude (e.g. see [5, 29, 9]) Mathematically, the absence of an intrinsic scale is equivalent to high variability and can be captured in a parsimonious manner using heavy tailed (also known as scale invariant) distributions with infinite variance. Thus, one of the main objectives of this paper is to present a coherent ....

.... to have set the stage for a physical explanation and understanding of the multifractal scaling phenomenon of measured IP traffic over small time scales that may be as plausible, intuitive, appealing and relevant as the one that has recently been found for the self similar scaling (e.g. see [30, 29, 9]) This and other open problems, together with some practical applications of our scaling analysis and some limitations of our study and of the underlying network configurations are discussed in Section 5. 2 Towards a scaling analysis for network measurements The special appeal for using wavelet ....

W. Willinger, V. Paxson, and M. S. Taqqu. A Practical Guide to Heavy Tails: Statistical Techniques for Analyzing Heavy Tailed Distributions, Self-similarity and heavy tails: Structural modeling of network Traffic. Birkhauser Verlag, Boston, pages 27--53, 1998.


Traffic Analysis and Simulation of a Prioritized Shared Medium - Evans, Hood, Dickens   (Correct)

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W. Willinger, V. Paxson, and M. S. Taqqu. A Practical Guide to Heavy Tails: Statistical Techniques and Applications, chapter Self-Similarity and Heavy Tails: Structural Modeling of Network Tra#c. Birhauser, 1998.

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