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Analysis of M/G/1 Priority Retrial G-Queue with Bernoulli Working Vacations

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Advances in Algebra and Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

In this investigation, a priority retrial queue with working vacations and negative customers is addressed. The priority clients don’t shape any line and have an elite preemptive priority to get their services over normal customers. When the orbit is noticeably empty at the season of service consummation, the server takes for a working vacation. In working vacation period, the server works at a lower rate of service. Utilizing the supplementary variable technique (SVT), the probability generating function (PGF) of the system capacity is found. Some important special cases are discussed.

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References

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Acknowledgements

The authors are thankful to the editor and reviewers for their valuable comments and suggestions for the improvement of the paper.

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Correspondence to P. Rajadurai .

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Rajadurai, P., Sundararaman, M., Ammar, S.I., Narasimhan, D. (2018). Analysis of M/G/1 Priority Retrial G-Queue with Bernoulli Working Vacations. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_43

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