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The relation between limiting queue size distributions at arrival and departure epochs in a bulk queue

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  • Fakinos, D.

Abstract

For a quite general group-arrival group-departure queue, a relation is given concerning the limiting queue size distributions when the system is considered exclusively at arrival epochs or exclusively at departure epochs, and which extends recent relevant results.

Suggested Citation

  • Fakinos, D., 1991. "The relation between limiting queue size distributions at arrival and departure epochs in a bulk queue," Stochastic Processes and their Applications, Elsevier, vol. 37(2), pages 327-329, April.
    • Handle: RePEc:eee:spapps:v:37:y:1991:i:2:p:327-329
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    Cited by:

    1. Anyue Chen & Xiaohan Wu & Jing Zhang, 2020. "Markovian bulk-arrival and bulk-service queues with general state-dependent control," Queueing Systems: Theory and Applications, Springer, vol. 95(3), pages 331-378, August.
    2. Xiaohan Wu & Anyue Chen, 2023. "Further results of Markovian bulk-arrival and bulk-service queues with general-state-dependent control," Queueing Systems: Theory and Applications, Springer, vol. 104(1), pages 19-52, June.
    3. Seok Ho Chang & Dae Won Choi, 2006. "Modeling and Performance Analysis of a Finite-Buffer Queue with Batch Arrivals, Batch Services, and Setup Times: The M X /G Y /1/K + B Queue with Setup Times," INFORMS Journal on Computing, INFORMS, vol. 18(2), pages 218-228, May.
    4. Gérard Hébuterne & Catherine Rosenberg, 1999. "Arrival and departure state distributions in the general bulk‐service queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 107-118, February.
    5. Marko A. A. Boon & Onno J. Boxma & Offer Kella & Masakiyo Miyazawa, 2017. "Queue-length balance equations in multiclass multiserver queues and their generalizations," Queueing Systems: Theory and Applications, Springer, vol. 86(3), pages 277-299, August.

    More about this item

    Keywords

    bulk queues Burke's result;

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