An M/G/1 retrial queueing system with two phases of service, immediate Bernoulli feedbacks, single vacation and starting failures

Varalakshmi, M.; Rajadurai, P.; Saravanarajan, M.C.; Chandrasekaran, V. M.

doi:10.1504/ijmor.2016.10000127

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2022

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“…Kalyanaraman and Murugan [8] have developed the retrial queue with vacation, Murugan and Santhi [9] studied the M/G/1 retrial queue with MWV. For a comprehensive study on WV one can refer [4].…”

Section: Introductionmentioning

confidence: 99%

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

Murugan¹,

Keerthana²

2022

Comm. Math. Appl.

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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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Section: Introductionmentioning

confidence: 99%