Modelling the population dynamics and the file availability in a bittorrent-like p2p system with decreasing peer arrival rate

Authors:
Riikka Susitaival;Samuli Aalto
Affiliations:
Helsinki University of Technology, Finland;Helsinki University of Technology, Finland
Venue:
IWSOS'06/EuroNGI'06 Proceedings of the First international conference, and Proceedings of the Third international conference on New Trends in Network Architectures and Services conference on Self-Organising Systems
Year:
2006

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Abstract

Many measurement studies of P2P file sharing systems suggest that the request rate for a file changes over time and the system is thus non-stationary. For this reason we study the population dynamics and the availability of a file in a BitTorrent-like file sharing system, when the arrival rate for file requests decreases exponentially. We study the system first by a deterministic fluid model and then by a more detailed Markov chain analysis that allows estimating the life time of a single chunk exactly. Simple approximation for the life time is also derived. In addition, we simulate the life time of a file consisting multiple chunks in order to verify the analytical results to be applicable also to a more complex system.