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A Single Server Retrial Queue with Bernoulli Feedback and Collisions

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Abstract

A non-Markovian feedback single-server retrial queue with collisions and general retrial times is investigated. A necessary and sufficient condition for the system to be stable is studied. Using the supplementary variable technique, the joint distribution of the server state and the orbit length under steady-state is obtained. Some interesting and important performance measures of the system are provided. Finally, numerical illustrations are presented.

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Correspondence to B. Krishna Kumar.

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Kumar, B.K., Rukmani, R., Thangaraj, V. et al. A Single Server Retrial Queue with Bernoulli Feedback and Collisions. J Stat Theory Pract 4, 243–260 (2010). https://doi.org/10.1080/15598608.2010.10411984

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  • DOI: https://doi.org/10.1080/15598608.2010.10411984

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