Interacting branching processes and linear file-sharing networks

L. Leskelä, Ph. Robert, F. Simatos

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)834-854
JournalAdvances in Applied Probability
Issue number3
Publication statusPublished - 2010


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