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Modeling The Population of File-Sharing Peer-to-Peer Networks With Branching Processes
2007
Proceedings of the IEEE Symposium on Computers and Communications
In this paper we develop a simple but effective mathematical model to capture the file population dynamics of file-sharing peer-to-peer systems. Our modeling framework is based on the theory of branching processes. We describe analytically the behavior of the proposed model. The precise characterization of the necessary and sufficient conditions of population extinction or explosion is given based on the system parameters. We also present the expected ratio of active, passive and dead peers for
doi:10.1109/iscc.2007.4381479
dblp:conf/iscc/DangPM07
fatcat:kwkz6mzyojgdfl22fqx7oqp5uu