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The normal approximation and queue control for response times in a processor-shared computer system model

  • D. P. Gaver
  • Patricia A. Jacobs
  • Guy Latouche
Queues And Networks 4
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 60)

Abstract

Represent a time-shared computer system as a group of N terminals, each having submission rate λ and exponential (μ) task durations, with tasks submitted to a central (single) processor. There they are serviced in processor-sharing or time-sliced mode. It is shown that the R(t), the response time conditional on t , the required processing time, becomes approximately normally distributed as t increases. Similar results are derived when N increases.

Variations of the model consider control: an "inside," processor-shared queue services at most c tasks, others queueing first-come first-served "outside." Other possibilities are described and analyzed.

Keywords

Response Time Processor Sharing Naval Postgraduate School Generalize Processor Sharing Require Processing Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • D. P. Gaver
    • 1
  • Patricia A. Jacobs
    • 1
  • Guy Latouche
    • 2
  1. 1.Naval Postgraduate SchoolUSA
  2. 2.University Libre BrussellesBelgium

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