Quality control for feedback M/M/1/N queue with balking and retention of reneged customers

K. A. M. Kotb · Hassnaa A. El Ashkar

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Advanced Queuing Theory Analysis Customer Service Quality and Loyalty Age of Information Optimization

Abstract

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.

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References

1977Fundamentals of Queueing Theory.2008Fundamentals of Queueing Theory 1963Some Queuing Problems with Balking and Reneging. I 1963Some Queuing Problems with Balking and Reneging—II 1987A subjective Bayesian approach to the theory of queues I ? Modeling 2017M/M/c balking retrial queue with vacation 1989Quality control of the M/G/1 queue 1990An economic model for determining the optimal quality and process control policy in a queue-like production system

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