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In this paper, we provide a simple and direct approach to determine quality control policy and optimization of the Markovian feedback customers that has single-server and limited system capacity under steady-state situation adding the concepts of balking and retention of reneged customers. We use the iterative method to obtain the probability that there are n customers in the system, the probability of empty system and some performance measures. Some important queueing systems are derived as special cases and the optimization of the model is performed.
Kotb et al. (Wed,) studied this question.