An M/G/1 Retrial G-queue with Multiple Working Vacation and a Waiting Server

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DOI:

https://doi.org/10.26713/cma.v13i3.2069

Keywords:

Retrial queue, Working vacation, Supplementary variable technique, Waiting server, Negative customers

Abstract

An M/G/1 retrial G-queue with multiple working vacation and a waiting server is taken into consideration in this study. Both the retrial times and service times are assumed to follow general distribution and the waiting server follows an exponential distribution. During the working vacation period customers are served at a lesser rate of service. Before switching over to a vacation the server waits for some arbitrary amount of time and so is called a waiting server. We obtain the PGF for the number of customers and the mean number of customers in the invisible waiting area which is acquired by utilizing the supplementary variable technique. We compute the waiting time distribution. Out of interest a few special cases are conferred. Numerical outcomes are exhibited.

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Published

29-11-2022
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How to Cite

Pazhani Bala Murugan, S., & Keerthana, R. (2022). An M/G/1 Retrial G-queue with Multiple Working Vacation and a Waiting Server. Communications in Mathematics and Applications, 13(3), 893–909. https://doi.org/10.26713/cma.v13i3.2069

Issue

Vol. 13 No. 3 (2022)

Section

Research Article

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