Analysis of Failure Correlation Impact on Peer-to-Peer Storage Systems

Olivier Dalle 1 Frédéric Giroire 1 Julian Monteiro 1 Stéphane Pérennes 1
1 MASCOTTE - Algorithms, simulation, combinatorics and optimization for telecommunications
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : Peer-to-peer storage systems aim to provide a reliable long-term storage at low cost. In such systems, peers fail continuously, hence, the necessity of self-repairing mechanisms to achieve high durability. In this paper, we propose and study analytical models that assess the bandwidth consumption and the probability to lose data of storage systems that use erasure coded redundancy. We show by simulations that the classical stochastic approach found in the literature, that models each block independently, gives a correct approximation of the system average behavior, but fails to capture its variations over time. These variations are caused by the simultaneous loss of multiple data blocks that results from a peer failing (or leaving the system). We then propose a new stochastic model based on a fluid approximation that better captures the system behavior. In addition to its expectation, it gives a correct estimation of its standard deviation. This new model is validated by simulations.
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Olivier Dalle, Frédéric Giroire, Julian Monteiro, Stéphane Pérennes. Analysis of Failure Correlation Impact on Peer-to-Peer Storage Systems. 9th IEEE International Conference on Peer-to-Peer Computing (P2P), Sep 2009, Seattle, United States. pp.184--193, ⟨10.1109/P2P.2009.5284518⟩. ⟨inria-00485847⟩

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