Abstract
This paper presents the performance analysis of a discrete-time finite-buffer queue with batch input, general interarrival and geometric service times. It is assumed that a batch arriving with size larger than the available buffer is partially accepted and the rest is rejected. The queue is analyzed for early arrival system as well as for late-arrival system with delayed access using both the supplementary variable and imbedded Markov chain techniques. Besides obtaining state probabilities at various epochs and loss probability of a batch as well as of a customer, other performance measures have also been discussed. The waiting time analysis of an arbitrary customer of a batch is also carried out.
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