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  1. R. Susitaival, S. Aalto and J. Virtamo, Analyzing the dynamics and resource usage of P2P file sharing systems by a spatio-temporal model, in International Workshop on P2P for High Performance Computational Sciences (P2P-HPCS06) in conjunction with ICCS, pp. 420-427, 2006 (pdf)(bib)
    Abstract: In this paper we study the population dynamics and resource usage optimization of a P2P file sharing system in two scenarios. In the first scenario, availability of the requested file is guaranteed by a sustained seed but in the second one the swarm of seeds may go to extinction. We study the scenarios by both the deterministic fluid models and by a more detailed Markov chain analysis that allows estimating the life time of the system. In addition, the underlying topology of the network is modelled by a simple geometry. Using the resulting spatio-temporal model we assess how much the resource usage of the network can be reduced, e.g., by selecting the nearest seed for download instead of a random one. Expected values for resource usage by the random and nearest peer policies are derived and the results are verified by simulations.