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
Arivudainambi, D., Godhandaraman, P., Rajadurai, P.: Performance analysis of a single server retrial queue with working vacation. OPSEARCH. 51, 434–462 (2014).
Artalejo, J., Gomez-Corral, A.: Retrial Queueing Systems. Springer, Berlin, Germany (2008).
Gao, S.: A preemptive priority retrial queue with two classes of customers and general retrial times. Operational Research. 15, 233–251 (2015).
Gao, S., Wang, J., Li, J.: An M/G/1 retrial queue with general retrial times, working vacations and vacation interruption. Asia-Pacific Journal Oper Res. 31, 6–31 (2014).
Rajadurai, P.: A study on an M/G/1 retrial G-queue with unreliable server under variant working vacations policy and vacation interruption. Songklanakarin J. Sci. Technol. 40, 231–242 (2018).
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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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DOI: https://doi.org/10.1007/978-3-030-01120-8_43
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