QUEUEING MODELS FOR FILE MEMORY OPERATION

Abstract

A model for the auxiliary memory function of a segmented, multi- processor, time-shared computer system is set up. A drum system in particular is discussed, although no loss of generality is implied by limiting the discussion to drums. Particular attention is given to the queue of requests waiting for drum use. It is shown that a shortest access time first queue discipline is the most efficient, with the access time being defined as the time required for the drum to be positioned, and is measured from the finish of service of the last request to the beginning of the data transfer for the shortest access time queue is made, giving the minimum access time probability distribution, equations for the number in queue, and equations for the wait in the queue. Simulations were used to verify these equations; the results are discussed. Finally, a general Markov Model for Queues is discussed in an Appendix.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0624943

Entities

People

  • Peter J. Denning

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Access Time
  • Computational Science
  • Computations
  • Computer Programming
  • Computer Simulations
  • Computers
  • Equations
  • Markov Models
  • Mathematical Models
  • Models
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Programming Languages
  • Random Variables
  • Standards
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Electrical Engineering
  • Mathematical Modeling and Probability Theory.
  • Parallel and Distributed Computing.