We consider a single server Markovian feedback queue with variant of multiple
vacation policy, balking, server's states-dependent reneging, and retention
of reneged customers. We obtain the steady-state solution of the considered
queue based on the use of probability generating functions. Then, the
closed-form expressions of different system characteristics are derived.
Finally, we present some numerical results in order to show the impact of the
parameters of impatience timers on the performance measures of the system.