Abstract
In this investigation, we deal with a finite capacity Markovian feedback queue with
threshold-based recovery policy, server breakdown, and customers’ impatience. For this
system, the Successive Over-Relaxation (SOR) method is used to obtain the steady-state
probabilities. Besides, the queueing system’s characteristics are also derived. Then, cost
optimization of the system is carried out using the Quasi-Newton method. Further, numerical
studies are performed to support the theoretically obtained results.