Reliability analysis of a replication with limited number of journaling files

Recently, replication mechanisms using journaling files have been widely used for the server systems. We have already discussed the model of asynchronous replication system using journaling files [8]. This paper formulates a stochastic model of a server system with replication considering the number of transmitting journaling files. The server updates the storage database and transmits the journaling file when a client requests the data update. The server transmits the database content to a backup site either at a constant time or after a constant number of transmitting journaling files. We derive the expected number of the replication and of transmitting journaling files. Further, we calculate the expected cost and discuss optimal replication interval to minimize it. Finally, numerical examples are given.