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The Israeli Queue with a general group-joining policy

Author

Listed:
  • Nir Perel

    (Tel-Aviv University
    Shenkar - Engineering. Design. Art)

  • Uri Yechiali

    (Tel-Aviv University)

Abstract

We consider a single-server multi-queue system with unlimited-size batch service where the next queue to be served is the one with the most senior customer (the so called ‘Israeli Queue’). We study a Markovian system with state-dependent group-joining policy and derive results for various performance measures, such as steady-state distribution of the number of groups in the system, sojourn times, group sizes, and lengths of busy periods. Closed-form expressions are obtained for both the Uniform and the Geometric joining policies. Numerical results are presented.

Suggested Citation

  • Nir Perel & Uri Yechiali, 2022. "The Israeli Queue with a general group-joining policy," Annals of Operations Research, Springer, vol. 317(1), pages 179-212, October.
    • Handle: RePEc:spr:annopr:v:317:y:2022:i:1:d:10.1007_s10479-015-1942-1
    DOI: 10.1007/s10479-015-1942-1
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