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Bulk input queues with quorum and multiple vacations

Author

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  • Jewgeni H. Dshalalow
  • Jay Yellen

Abstract

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 r and not greater than R ( ≥ r ) . The server takes vacations each time the queue level falls below r ( ≥ 1 ) 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.

Suggested Citation

  • Jewgeni H. Dshalalow & Jay Yellen, 1996. "Bulk input queues with quorum and multiple vacations," Mathematical Problems in Engineering, Hindawi, vol. 2, pages 1-12, January.
    • Handle: RePEc:hin:jnlmpe:356380
    DOI: 10.1155/S1024123X96000257
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    Cited by:

    1. Jewgeni H. Dshalalow & Ryan T. White, 2021. "Current Trends in Random Walks on Random Lattices," Mathematics, MDPI, vol. 9(10), pages 1-38, May.

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