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A Mixed-Priority Queue with Applications to the Analysis of Real-Time Systems

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  • Linus Schrage

    (University of Chicago, Chicago, Illinois)

Abstract

Jobs arrive in a Poisson stream to a single processor. Associated with each job is a priority j = 1, 2, …. The processing time requested by a job can be partitioned into an arbitrary number of intervals of two types, (1) noninterruptible portions and (2) interruptible portions. Type 2 intervals can further be classified as preemptive-resume intervals and preemptive-repeat intervals that, in turn, can be further classified as being repeat with resampling or repeat without resampling. When a job is interrupted, a setup time (which is interruptible) must first be expended before the job can regain the processor. Steady-state moments and Laplace transforms are obtained.

Suggested Citation

  • Linus Schrage, 1969. "A Mixed-Priority Queue with Applications to the Analysis of Real-Time Systems," Operations Research, INFORMS, vol. 17(4), pages 728-742, August.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:4:p:728-742
    DOI: 10.1287/opre.17.4.728
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