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Processor Utilization in Multiprogramming Systems via Diffusion Approximations

Author

Listed:
  • Donald P. Gaver

    (Naval Postgraduate School, Monterey, California)

  • Gerald S. Shedler

    (IBM Research Laboratory, San Jose, California)

Abstract

Cyclic queuing systems have been proposed by several authors in the study of the behavior of multiprogrammed computer systems. Programs in the system wait for service at the central processor unit (CPU); then, after page fault or input-output request at a data transmission unit (DTU), the process repeats until the program completes. Semi-Markov analysis of such systems, based on the apparently plausible assumption of independently but exponentially distributed CPU burst time, and independent, but nearly constant DTU tune may be conducted. This paper presents some very simple approximations based on a continuous-state approximation—the simple diffusion with two reflecting barriers—to describe the CPU utilization. Computational experience from which the quality of the approximations can be assessed is reported.

Suggested Citation

  • Donald P. Gaver & Gerald S. Shedler, 1973. "Processor Utilization in Multiprogramming Systems via Diffusion Approximations," Operations Research, INFORMS, vol. 21(2), pages 569-576, April.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:2:p:569-576
    DOI: 10.1287/opre.21.2.569
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    Cited by:

    1. B. Krishna Kumar & A. Thanikachalam & V. Kanakasabapathi & R. Rukmani, 2016. "Performance analysis of a multiprogramming–multiprocessor retrial queueing system with orderly reattempts," Annals of Operations Research, Springer, vol. 247(1), pages 319-364, December.
    2. B. D. Sivazlian & K. H. Wang, 1990. "Diffusion approximation to the G/G/R machine repair problem with warm standby spares," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 753-772, October.

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