Mean-Field Analysis for the Evaluation of Gossip Protocols


Bakshi, Rena and Cloth, Lucia and Fokkink, Wan and Haverkort, Boudewijn (2009) Mean-Field Analysis for the Evaluation of Gossip Protocols. In: Sixth International Conference on the Quantitative Evaluation of Systems, QEST, 13-16 Sept 2009, Budapest, Hungary (pp. pp. 247-256).

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Abstract:Gossip protocols are designed to operate in very large, decentralised networks. A node in such a network bases its decision to interact (gossip) with another node on its partial view of the global system. Because of the size of these networks, analysis of gossip protocols is mostly done using simulations, that tend to be expensive in computation time and memory consumption. We employ mean-field approximation for an analytical evaluation of gossip protocols. Nodes in the network are represented by small identical stochastic models. Joining all nodes would result in an enormous stochastic process. If the number of nodes goes to infinity, however, mean-field analysis allows us to replace this intractably large stochastic process by a small deterministic process. This process approximates the behaviour of very large gossip networks, and can be evaluated using simple matrix-vector multiplications.
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Copyright:© 2009 IEEE
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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