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Feedback data packet flow rate control is one of solutions which have been extensively studied. Monitoring the buffer status is the most used method to increase performance of a queueing system. This mathematical approach is most useful for analysis a multivariable transmission network node. In this research we focus on major problem that need to achieve defined level quality of service. Data packet retransmission and buffer overflow impact for queueing system performance is investigated. In this paper proposed adaptive feedback data flow rate control methods can be used to achieve stability and satisfactory service quality of a queueing system. We also demonstrate how with our proposed data packet rate-control scheme the buffer overflow does not occur. Processes in feedback control queueing system are analyzed by means of Markov chains.