Abstract
In this article, F-policy for the single-server finite capacity Markovian queueing model with retrial attempts is investigated. The system admits the customers to join the system till the system reaches its full capacity and then, the customers are restricted to join the system until the queue size reduces to threshold value ‘F’. To deal with more realistic situations, the concepts of state-dependent arrivals and service process are incorporated while developing a Markov model. On the basis of birth–death process, Chapman–Kolmogorov equations governing the model are developed to analyze the queueing characteristics of the system. The steady-state queue size distributions are obtained by using recursive technique which are further used to establish numerous performance indices to predict the behavior of the studied model. A cost function is framed to compute the optimal service rate and corresponding minimum cost. To investigate the behavior of the system, numerical example, sensitivity analysis of the system, and descriptors for different indices are presented.
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Jain, M., Sanga, S.S. (2019). F-Policy for M/M/1/K Retrial Queueing Model with State-Dependent Rates. In: Deep, K., Jain, M., Salhi, S. (eds) Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models . Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0857-4_9
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DOI: https://doi.org/10.1007/978-981-13-0857-4_9
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