On Modeling Fault Tolerance of Gossip-Based Reliable Multicast Protocols

Gossiping has been widely used for disseminating data in large scale networks. Existing works have mainly focused  on the design of gossip-based protocols but few have been  reported on developing models for analyzing the fault  tolerance property of these protocols. In this paper, we propose a general gossiping algorithm and develop a mathematical model based on generalized random graphs for evaluating the reliability of gossiping, i.e., to what extent gossip-based protocols can tolerate node failures, yet guarantee the specified message delivery. We analytically derive the maximum ratio of failed nodes that can be tolerated without reducing the required degree of reliability. We also investigate the impact of the parameters, namely the fanout distribution and the nonfailed member ratio, on the protocol reliability. Simulations have been carried out to validate the effectiveness of our analytic model in terms of the reliability of gossiping and the success of gossiping. The results obtained can be used to guide the design of fault tolerant gossip-based protocols.