An M/G/1 Bernoulli feedback retrial queueing system with negative customers

An M/G/1 Bernoulli feedback retrial queueing system with negative customers

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Article ID: iaor20134316
Volume: 13
Issue: 2
Start Page Number: 187
End Page Number: 210
Publication Date: Jul 2013
Journal: Operational Research
Authors: , ,
Keywords: markov processes
Abstract:

A single server retrial queue with negative customers and two types of Bernoulli feedback is considered. A necessary and sufficient condition for the system to be stable is investigated. The system size probabilities at output epochs are obtained by using an embedded Markov chain. Further, the joint generating functions of queue length and server status are studied by using supplementary variables method. Some important system performance measures are derived. Busy period of the system is also discussed. Finally, extensive numerical illustrations are provided.

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