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arXiv · 0907.0375

Interacting branching processes and linear file-sharing networks

L. Leskelä·Philippe Robert·Florian Simatos
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Abstract

File-sharing networks are distributed systems used to disseminate files among nodes of a communication network. The general simple principle of these systems is that once a node has retrieved a file, it may become a server for this file. In this paper, the capacity of these networks is analyzed with a stochastic model when there is a constant flow of incoming requests for a given file. It is shown that the problem can be solved by analyzing the asymptotic behavior of a class of interacting branching processes. Several results of independent interest concerning these branching processes are derived and then used to study the file-sharing systems.

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L. Leskelä, Philippe Robert, Florian Simatos. 2010-04-22. Interacting branching processes and linear file-sharing networks. https://arxiv.org/abs/0907.0375

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