Mean-field framework for performance evaluation of push-pull gossip protocols

  • Authors:
  • Rena Bakhshi;Lucia Cloth;Wan Fokkink;Boudewijn R. Haverkort

  • Affiliations:
  • Department of Computer Science, Vrije Universiteit Amsterdam, The Netherlands;German University of Technology, Oman;Department of Computer Science, Vrije Universiteit Amsterdam, The Netherlands;Centre for Telematics & Information Technology, University of Twente, Enschede, The Netherlands and Embedded Systems Institute, Eindhoven, The Netherlands

  • Venue:
  • Performance Evaluation
  • Year:
  • 2011

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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, but these tend to be expensive in computation time and memory consumption. We employ mean-field analysis techniques for the evaluation of gossip protocols. Nodes in the network are represented by small identical stochastic processes. 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.