Perturbation analysis of a phase-type queue with weakly correlated arrivals

DOI10.2307/1427366zbMath0678.60091OpenAlexW2014599968MaRDI QIDQ3834832

Guy Latouche

Publication date: 1988

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427366

zbMATH Keywords

Markov renewal processphase-type distributionPoisson processsteady-state distributionrenewal processsingle-channel queueing systemmatrix-geometric stationary vector

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Perturbation theory of linear operators (47A55) Markov renewal processes, semi-Markov processes (60K15)

Related Items (4)

ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS ⋮ Quasi-stationary distributions for perturbed discrete time regenerative processes ⋮ Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes ⋮ The shorter queue problem: A numerical study using the matrix-geometric solution

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