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A recent study  designed a performance model for the Practical Byzantine Fault Tolerance (PBFT) consensus mechanism which is used in Hyperledger Fabric.
Rindos, "Performance modeling of PBFT consensus process for permissioned blockchain network (hyperledger fabric)," in Proceedings of the 36th IEEE International Symposium on Reliable Distributed Systems (SRDS '17), pp.
2017 Performance Modeling of PBFT Consensus Process for Permissioned Blockchain Network Kokoris-Kogias et 2016 Introduced a scalable consensus al.
However, there are a number of other mechanisms that offer certain desired advantages over the original model: for example, the proof of stake (PoS) , practical Byzantine fault tolerance (PBFT) , and the proof of elapsed time (PoeT)  appear as other and will be briefly explained below:
(iii) Practical byzantine fault tolerance (PBFT): the function of a consensus protocol is to maintain the order of transactions in a network of block strings, despite the threats to that order.
As the total number of nodes needs to be known, the PBFT is not suitable for public systems and is only used in private systems.
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