Combined elapsed time and matrix-analytic method for the discrete time \(GI/G/1\) and \(GI^X/G/1\) systems

DOI10.1023/A:1025653200299zbMath1046.90016OpenAlexW1724438738MaRDI QIDQ1411361

Attahiru Sule Alfa

Publication date: 27 October 2003

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025653200299

zbMATH Keywords

waiting timebusy periodqueue lengthmatrix-analytic methodmatrix-geometric methodelapsed timeQBD\(GI/G/1\)\(GI^X/G/1\)infinite blocks

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (10)

New approach for finding basic performance measures of single server queue ⋮ Condition numbers and backward error of a matrix polynomial equation arising in stochastic models ⋮ Computational procedures for a class of GI/D/\(k\) systems in discrete time ⋮ Convergence of pure and relaxed Newton methods for solving a matrix polynomial equation arising in stochastic models ⋮ Finding equilibrium probabilities of QBD processes by spectral methods when eigenvalues vanish ⋮ Convergence of relaxed Newton method for order-convex matrix equations ⋮ Unnamed Item ⋮ An explicit polynomial to globalize algorithms for solving matrix polynomial equations ⋮ Fitting Matrix Geometric Distributions by Model Reduction ⋮ Discrete time queues and matrix-analytic methods. (With comments and rejoinder)

This page was built for publication: Combined elapsed time and matrix-analytic method for the discrete time \(GI/G/1\) and \(GI^X/G/1\) systems