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SIGMETRICS
2010
ACM

In-degree dynamics of large-scale P2P systems

8 years 4 months ago
In-degree dynamics of large-scale P2P systems
This paper builds a complete modeling framework for understanding user churn and in-degree dynamics in unstructured P2P systems in which each user can be viewed as a stationary alternating renewal process. While the classical Poisson result on the superposition of n stationary renewal processes for n requires that each point process become sparser as n increases, it is often difficult to rigorously show this condition in practice. In this paper, we first prove that despite user heterogeneity and non-Poisson arrival dynamics, a superposition of edge-arrival processes to a live user under uniform selection converges to a Poisson process when system size becomes sufficiently large. Using this finding, we then obtain closed-form results on the transient behavior of in-degree, paving novel ways for a variety of additional analysis of decentralized P2P systems. Categories and Subject Descriptors C.4 [Performance of Systems]: Modeling techniques General Terms Algorithms, Performance, Theor...
Zhongmei Yao, Daren B. H. Cline, Dmitri Loguinov
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where SIGMETRICS
Authors Zhongmei Yao, Daren B. H. Cline, Dmitri Loguinov
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