A queueing system with single arrival bulk service and single departure
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In this note, we study a Markovian queueing system with accessible batches for service, but units depart individually. This system generalizes the M/M/C, bulk service, and accessible batch queueing systems. We compute the system size probabilities in transient and steady states, waiting time distribution, busy period distribution, expected queue length, etc. Little's formula is shown to hold for the present set up. We investigate the optimal values of the maximum batch size for service and capacity of the system.
[1] J. Medhi,et al. Waiting Time Distribution in a Poisson Queue with a General Bulk Service Rule , 1975 .
[2] M. L. Chaudhry,et al. A first course in bulk queues , 1983 .
[3] M. Neuts. A General Class of Bulk Queues with Poisson Input , 1967 .