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Two-Server Bulk-Service Queuing Process

Author

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  • K. L. Arora

    (Weapons Evaluation Group, Delhi, India)

Abstract

In the present paper a two-server queuing process fed by Poisson arrivals and exponential service time distributions has been considered under the bulk-service discipline. Time-dependent probabilities for the queue length have been obtained in terms of Laplace transforms, from which different measures associated with the queuing process could be determined. The mean queue-length and the distributions of the length of busy periods for (i) at least one channel is busy and (ii) both channels being busy, are obtained.

Suggested Citation

  • K. L. Arora, 1964. "Two-Server Bulk-Service Queuing Process," Operations Research, INFORMS, vol. 12(2), pages 286-294, April.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:2:p:286-294
    DOI: 10.1287/opre.12.2.286
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    Cited by:

    1. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    2. Jan-Kees Ommeren & Niek Baer & Nishant Mishra & Debjit Roy, 2020. "Batch service systems with heterogeneous servers," Queueing Systems: Theory and Applications, Springer, vol. 95(3), pages 251-269, August.

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