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Relations among the Queue-Length Probabilities in the Pre-Arrival, Random, and Post-Departure Epochs in the GI/M a , b /c Queue

Author

Listed:
  • Jing Gai

    (Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada)

  • Mohan Chaudhry

    (Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada)

Abstract

In this paper, we present research results that extend and supplement our article recently published by MDPI. We derive the closed-form relations among the queue-length probabilities observed in the pre-arrival, random, and post-departure epochs for a complex, bulk-service, multi-server queueing system GI/M a , b /c.

Suggested Citation

  • Jing Gai & Mohan Chaudhry, 2024. "Relations among the Queue-Length Probabilities in the Pre-Arrival, Random, and Post-Departure Epochs in the GI/M a , b /c Queue," Mathematics, MDPI, vol. 12(17), pages 1-8, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2609-:d:1462458
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    References listed on IDEAS

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    1. Bar-Lev, Shaul K. & Boxma, Onno & Kleiner, Igor & Perry, David & Stadje, Wolfgang, 2017. "Recycled incomplete identification procedures for blood screening," European Journal of Operational Research, Elsevier, vol. 259(1), pages 330-343.
    2. Sim, S. H. & Templeton, J. G. C., 1985. "Steady state results for the M/M(a, b)/c batch-service system," European Journal of Operational Research, Elsevier, vol. 21(2), pages 260-267, August.
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