Discrete-time renewal input queue with balking and multiple working vacations

This paper analyzes a discrete-time finite buffer GI/Geo/1 queue with multiple working vacations wherein the customers may balk due to impatience. The service times during working vacation and vacation times are assumed to be geometrically distributed. Embedded Markov chain and supplementary variabl...

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Bibliographic Details
Published in:International journal of management science and engineering management 2015-07, Vol.10 (3), p.224-236
Main Authors: Vijaya Laxmi, P., Goswami, V., Jyothsna, K.
Format: Article
Language:English
Subjects:
balking
discrete-time
finite buffer
multiple working vacations
waiting time
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Summary:This paper analyzes a discrete-time finite buffer GI/Geo/1 queue with multiple working vacations wherein the customers may balk due to impatience. The service times during working vacation and vacation times are assumed to be geometrically distributed. Embedded Markov chain and supplementary variable techniques have been adopted to obtain the steady-state system length distributions at pre-arrival and arbitrary epochs, respectively. Various performance measures of the model and waiting-time distribution are also presented. A variety of numerical results showing the effect of model parameters on key performance measures are demonstrated.
ISSN:1750-9653
1750-9661
DOI:10.1080/17509653.2014.954651