Abstract
In this work, we study an M/M/1/N queuing system with multiple vacations, Bernoulli feedback, balking, reneging and retention of the impatient customers, and the possibility of a server breakdown and repair. First, by using the Q‐matrix (infinitesimal generator matrix) method, we obtain the steady‐state probabilities of the system. Then, some useful performance measures are derived. Finally, the influence of the reliability parameters on the performance measures of the system has been examined numerically.
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