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Abstract Queueing theory is a very rich branch of mathematics, operations research, applied probability and have played an important and a vital role, especially, in performance evaluation and modeling various real - life systems dealing with congestion. In fact, it has revolutionized the computer systems, industrial reliability, workforce management, engineering biology, political sciences, biotechnology sciences, actuarial sciences, biomedical studies, computer networks, public health sectors, demography, traffic modeling, inventory models, telecommunication systems and many more. Queueing systems are particularly useful for the design of these sciences in terms of layout, capacities, and control. The importance of queueing theory lies not only in its applicability to real-life problem with its computationally tractable procedures, but in the elegance and completeness of the underlying stochastic models as well. This thesis, which contains three chapters, investigates the quality control (QC) procedure in two elementary queuing models in which the feedback strategy and retention of reneged customers concept are assumed correlated. In recent years, quality control (QC) and feedback queues have emerged as an important areas of queueing theory. The economic optimization analysis of each queueing model separately is performed. The two queueing models are then investigated to obtain greater insights regarding the mutual and join effects of quality control (QC) and models’ design. |