ANALYSIS OF AN M/G/1 QUEUE WITH EXPONENTIALLY DISTRIBUTED MULTIPLE AND SINGLE WORKING VACATIONS

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2011
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Abstract
Consider an AY/C/l queue with exponentially distributed multiple and single working vacations where the ser\er cooks at a slower rate rather than completely stops service durinu \acation periods. Using supplementary vtiriable technique, we deme the sie,ul\-state distributions for the number of customers m the system both at the tirbitrar)' epoch and departure epoch. Further the expected system si/e and various probabilities are calculated and the results obtaineil are illustrated numerically.
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