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Priority Queues with Setup Times

Author

Listed:
  • Hideaki Takagi

    (IBM Tokyo Research Laboratory, Tokyo, Japan)

Abstract

Queueing analysis is conducted for M/G/1-type systems with multiple classes of service requests that need a setup time prior to each busy period. We consider a variety of service disciplines: FCFS (first-come, first-served), LCFS (last-come, first-served), nonpreemptive priority, preemptive resume priority, and gated batch priority. This study has been motivated by the performance evaluation of multiprocessor bus arbitration protocols. The Laplace–Stieltjes transform of the distribution function, the mean, and the second moment of the waiting time for each class are derived explicitly. As a limit of continuous priorities, the shortest-job-first discipline with setup times is also considered.

Suggested Citation

  • Hideaki Takagi, 1990. "Priority Queues with Setup Times," Operations Research, INFORMS, vol. 38(4), pages 667-677, August.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:4:p:667-677
    DOI: 10.1287/opre.38.4.667
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    Citations

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    Cited by:

    1. Hideaki Takagi & Tetsuya Takine & Onno J. Boxma, 1992. "Distribution of the workload in multiclass queueing systems with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 41-52, February.
    2. Steve Derkic & James E. Stafford, 2002. "Symbolic Computation of Moments in Priority Queues," INFORMS Journal on Computing, INFORMS, vol. 14(3), pages 261-277, August.
    3. Tuan Phung-Duc, 2017. "Exact solutions for M/M/c/Setup queues," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 64(2), pages 309-324, February.
    4. Jansen, Laurens & Block, Ruud & Stepankin, Vladimir, 1995. "Analysis of superconductivity in Ba1−xKxBiO3 on the basis of indirect-exchange mediated pairing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(3), pages 327-350.

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