• ANALYSIS OF A BATCH ARRIVAL MX/G/1 QUEUE WITH SINGLE WORKING VACATION
Abstract
In this paper, a batch arrival MX/G/1 queue with exponentially distributed working vacations is analyzed. Using supplementary variable technique, the probability generating function of the steady state system size probabilities is derived and the expected system size probabilities are presented in closed form. Further, the results obtained are illustrated numerically and the effect of system parameters on system performance measures is discussed. Some particular cases are also discussed.
Keywords
MX/G/1 queue, single working vacation, supplementary variable technique.
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