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Finite buffer GI/Geo/ 1 batch servicing queue with multiple working vacations
Published online by Cambridge University Press: 11 July 2014
Abstract
This paper analyzes a discrete-time finite buffer renewal input queue with multiple working vacations where services are performed in batches of maximum size “b”. The service times both during a regular service period and vacation period and vacation times are geometrically distributed. Employing the supplementary variable and imbedded Markov chain techniques, we derive the steady-state queue length distributions at pre-arrival, arbitrary and outside observer’s observation epochs. Based on the queue length distributions, some performance measures and waiting time distribution in the queue have been discussed. Finally, numerical results showing the effect of model parameters on the key performance measures are presented.
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- Research Article
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- © EDP Sciences, ROADEF, SMAI 2014
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