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A Diffusion Approximation for Bulk Queues

Author

Listed:
  • Singha Chiamsiri

    (Khon Kaen University, Thailand)

  • Michael S. Leonard

    (University of Missouri-Columbia)

Abstract

In this paper the steady-state queue size behavior of single-server queues with bulk-arrival and batch-service, referred to as bulk queues, is approximated by a diffusion process using the instantaneous return approach. Diffusion approximation solutions for various queue size statistics are developed and evaluated for a number of special "Markovian-like" bulk queues. The approximate solutions are found to be robust for queues under heavy traffic, and in certain cases, under other traffic conditions.

Suggested Citation

  • Singha Chiamsiri & Michael S. Leonard, 1981. "A Diffusion Approximation for Bulk Queues," Management Science, INFORMS, vol. 27(10), pages 1188-1199, October.
    • Handle: RePEc:inm:ormnsc:v:27:y:1981:i:10:p:1188-1199
    DOI: 10.1287/mnsc.27.10.1188
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    Cited by:

    1. Andrew Daw & Jamol Pender, 2019. "On the distributions of infinite server queues with batch arrivals," Queueing Systems: Theory and Applications, Springer, vol. 91(3), pages 367-401, April.
    2. Wu, Kan, 2014. "Taxonomy of batch queueing models in manufacturing systems," European Journal of Operational Research, Elsevier, vol. 237(1), pages 129-135.

    More about this item

    Keywords

    bulk queues; diffusion approximations;

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