A reliability analysis of a Markov repairable system has been a hot topic for some time and various models based on Markov processes have been developed. For example, Liu et al. (2015) proposed a cold standby repairable system with working vacations and vacation interruption following a Markovian arrival process. Montoro-Cazorla and Pérez-Ocón (2014) studied a reliability system under different types of shock governed by a Markovian arrival process and maintenance policy. Du et al. (2016) developed a degradation model for repairable systems based on a continuous-time Markov process with multiple discrete states.