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The publication of the pivotal state machine replication protocol PBFT laidthe foundation for a large body of BFT protocols. While many successors to PBFThave been developed, there is no general technique to compare these protocolsunder realistic network conditions such as unreliable links. In this paper, weintroduce a probabilistic model for evaluating BFT protocols in the presence ofdynamic link and crash failures. Based on modeling techniques fromcommunication theory, the network state of replicas is captured and used toderive the success probability of the protocol execution. To this end, weexamine the influence of link and crash failure rates as well as the number ofreplicas. The model is derived from the communication pattern, making itimplementation-independent and facilitating an adaptation to other BFTprotocols. The model is validated with a simulation of PBFT and BFT-SMaRt.Further, a comparison in protocol behavior of PBFT, Zyzzyva and SBFT isperformed and critical failure thresholds are identified.e thresholds areidentified.

Bernoulli Meets PBFT: Modeling BFT Protocols in the Presence of Dynamic Failures