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Transient Analysis of a Single Server Feedback Queue with Balking, Disaster and Retention of Impatient Customers

R. Sudhesh, A. Azhagappan

Abstract


This paper studies the stationary and transient analysis of a M/M/1 feedback queue where the system undergoes balking, disaster and retaining the impatient customers. Closed form expression for the transient probabilities are derived explicitly using continued fraction and the stationary distributions are obtained using generating function. Also mean, variance and busy period distribution are computed for the time-dependent case. Further, the numerical illustrations are provided to analyze the impact of system indices.

Keywords


Feedback, Balking, Disaster, Retaining impatient customers, confluent hypergeometric function

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