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Explicit results for the distributions of queue lengths for a non-preemptive two-level priority queue

Author

Listed:
  • Josef Zuk

    (Defence Science and Technology Group)

  • David Kirszenblat

    (Defence Science and Technology Group)

Abstract

Explicit results are derived using simple and exact methods for the joint and marginal queue-length distributions for the M/M/c queue with two non-preemptive priority levels. Equal service rates are assumed. Two approaches are considered. One is based on numerically robust quadratic recurrence relations. The other is based on a complex contour-integral representation that yields exact closed-form analytical expressions, not hitherto available in the literature, that can also be evaluated numerically with very high accuracy.

Suggested Citation

  • Josef Zuk & David Kirszenblat, 2024. "Explicit results for the distributions of queue lengths for a non-preemptive two-level priority queue," Annals of Operations Research, Springer, vol. 341(2), pages 1223-1246, October.
    • Handle: RePEc:spr:annopr:v:341:y:2024:i:2:d:10.1007_s10479-024-06237-5
    DOI: 10.1007/s10479-024-06237-5
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    References listed on IDEAS

    as
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