Jewgeni H. Dshalalow, Jay Yellen, "Bulk input queues with quorum and multiple vacations", Mathematical Problems in Engineering, vol. 2, Article ID 356380, 12 pages, 1996. https://doi.org/10.1155/S1024123X96000257
Bulk input queues with quorum and multiple vacations
The authors study a single-server queueing system with bulk arrivals and batch service in accordance to the general quorum discipline: a batch taken for service is not less than and not greater than . The server takes vacations each time the queue level falls below in accordance with the multiple vacation discipline. The input to the system is assumed to be a compound Poisson process. The analysis of the system is based on the theory of first excess processes developed by the first author. A preliminary analysis of such processes enabled the authors to obtain all major characteristics for the queueing process in an analytically tractable form. Some examples and applications are given.
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