Processor-Shared Time-Sharing Models in Heavy Traffic.

Abstract

Processor sharing (PS) is a mathematically tractable approximation to time sharing, a procedure followed in many actual computer systems. In effect, PS assigns to each job of the i, (i = 1,2,...) present for processing 1/ith of the total processing effort; equivalently, a single job with Markovian service rate micron completes processing in (t, t+dt) with probability (micron/i)dt + o (dt). One advantage of PS is that short jobs are not trapped behind long jobs, as is possible in a FC-FS discipline. In this document probability models are presented for computer systems with processorshared(time sliced) service discipline. The response (sojourn) time of an arriving job that requires T units of processing time is shown to be approximately Gaussian/normal under moderately heavy traffic conditions, e.g. when the number of terminals becomes large. Keywords: Tables(data).

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA159314

Entities

People

  • Donald P. Gaver
  • P. A. Jacobs

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Differential Equations
  • Equations
  • Gaussian Processes
  • Information Science
  • Markov Processes
  • Mathematics
  • Military Research
  • New York
  • Normal Distribution
  • Operations Research
  • Probability
  • Sequences
  • Simulations
  • Statistics
  • Steady State
  • Stochastic Processes

Fields of Study

  • Computer science

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Mathematical Modeling and Probability Theory.