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
fDate :
11/1/1980 12:00:00 AM
Abstract :
An iterative method is presented by which the distribution of queue lengths in the

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;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOM.1980.1094612