• DocumentCode
    758734
  • Title

    Iterative Computation of the M/G/1 Queue Length Distribution via the Discrete Fourier Transform

  • Author

    Ackroyd, Martin H.

  • Author_Institution
    Aston Univ., Birmingham, England
  • Volume
    28
  • Issue
    11
  • fYear
    1980
  • fDate
    11/1/1980 12:00:00 AM
  • Firstpage
    1929
  • Lastpage
    1932
  • Abstract
    An iterative method is presented by which the distribution of queue lengths in the M/G/1 queue may be computed. The method applies to the nonsteady-state case and involves repeatedly performing convolutions. The steady-state solution may be obtained by performing the iterations until convergence occurs. A frequencydomain equivalent of the method is presented which gives much greater computational economy.
  • Keywords
    DFT; Discrete Fourier transforms (DFT´s); Queued communications; Discrete Fourier transforms; Distributed computing; Encoding; Entropy coding; Geometry; Iterative methods; Notice of Violation; Quantization; Rate distortion theory; Robustness;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1980.1094612
  • Filename
    1094612