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Queues served in cyclic order with an arbitrary start‐up distribution

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  • S. W. Fuhrmann
  • A. Moon

Abstract

This article considers a system of queues served in cyclic order by a single server. Each time the system becomes empty, it is restarted with a random initial population. The motivation for considering this problem came from the performance analysis study of a microprocessor‐based system charged with executing several different types of tasks. The processor executes these tasks in cyclic order, but when all such tasks are completed, the processor becomes unavailable for a period of time while it does lower‐priority (background) work. Thus, when the server returns to work on the higher‐priority tasks a random population of these tasks have accumulated.

Suggested Citation

  • S. W. Fuhrmann & A. Moon, 1990. "Queues served in cyclic order with an arbitrary start‐up distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 123-133, February.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:1:p:123-133
    DOI: 10.1002/1520-6750(199002)37:13.0.CO;2-N
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    References listed on IDEAS

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    1. B. Avi-Itzhak & W. L. Maxwell & L. W. Miller, 1965. "Queuing with Alternating Priorities," Operations Research, INFORMS, vol. 13(2), pages 306-318, April.
    2. Charles E. Skinner, 1967. "A Priority Queuing System with Server-Walking Time," Operations Research, INFORMS, vol. 15(2), pages 278-285, April.
    3. Ronald W. Wolff, 1982. "Poisson Arrivals See Time Averages," Operations Research, INFORMS, vol. 30(2), pages 223-231, April.
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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.

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