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In this paper, we studied the machine repair model with impatient behaviors-balking and reneging. There are several warm spares and repairmen who take the synchronous multiple vacations in the system. We use the method of blocked matrix to solve the steady-state probability equations. And we acquired some obvious iterative expressions of steady-state performances, such as the availability, failure frequency and the mean time to first failure of the system. Moreover, we carried out some numerical analysis and investigated the effect of parameters on the performance measures about reliability. Keywords-failure frequency; the mean time to first failure; balk; renege; reliability

Reliability Performance of Machine Repair Problem with Balking, Reneging, Warm spares and Synchronous Multiple Vacation