Variable heavy tails in Internet traffic

Variable heavy tails in Internet traffic

This paper studies tails of the size distribution of Internet data flows and their “heaviness”. Data analysis motivates the concepts of moderate, far and extreme tails for understanding the richness of information available in the data. The data analysis also motivates a notion of “variable tail index”, which leads to a generalization of existing theory for heavy-tail durations leading to long-...

Variable Heavy Tailed Durations in Internet Traffic, Part I: Understanding Heavy Tails

This paper is part of a larger paper that studies tails of the duration distribution of Internet data flows, and their “heaviness”. Data analysis motivates the concepts of moderate, far and extreme tails for understanding the richness of information available in the data. The analysis also motivates a notion of “variable tail index”, which leads to a generalization of existing theory for heavy ...

Modeling Heavy-tails in Traffic Sources for Network Performance Evaluation

Heavy tails in work loads (file sizes, flow lengths, service times, etc.) have significant negative impact on the performance of queues and networks. In the context of the famous Internet file size data of Crovella and some very recent data sets from a wireless mobility network, we examine the new class of LogPH distributions introduced by Ramaswami for modeling heavy tailed random variables. T...

Variable Heavy Tailed Durations in Internet

Variable Heavy Tailed Durations in Internet Traffic, Part II: Theoretical Implications

This paper is part of a larger paper that studies tails of the duration distribution of Internet data flows, and their “heaviness”. Data analysis motivates the concepts of moderate, far and extreme tails for understanding the richness of information available in the data. The data analysis also motivates a notion of “variable tail index”, which leads to a generalization of existing theory for h...