The Normal Approximation and Queue Control for Response Times in a Processor-Shared Computer System Model.

Abstract

The authors present a time-shared computer system as a group of N terminals, each having submission rate lambda and exponential (micron) task durations, with tasks submitted to a central (single) processor. There these 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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADA139587

Entities

People

  • Donald P. Gaver
  • G. Latouche
  • P. A. Jacobs

Organizations

  • Naval Postgraduate School

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