Approximated Transient Queue Length and Waiting Time Distributions via Steady State Analysis

DOI10.1081/STM-200056027zbMath1069.60083OpenAlexW2115820292MaRDI QIDQ5462814

Benny Van Houdt, Chris Blondia

Publication date: 27 July 2005

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-200056027

zbMATH Keywords

Markov chainsqueueing systemsmatrix analytic methodtransient distributionreset events

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (6)

Transient analysis of Markov modulated processes with Erlangization, ME-fication and inverse Laplace transformation ⋮ A Computational Framework for Two-Dimensional Random Walks With Restarts ⋮ CSL model checking algorithms for QBDs ⋮ Transient and first passage time distributions of first- and second-order multi-regime Markov fluid queues via ME-fication ⋮ Steady-state and first passage time distributions for waiting times in the \(MAP/M/s+G\) queueing model with generally distributed patience times ⋮ Transient analysis of piecewise homogeneous Markov fluid models

Cites Work

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• A single-server queue with server vacations and a class of non-renewal arrival processes
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Invariant measures for quasi-birth-and-death processes
• Solving m/g/l type markov chains: recent advances and applications

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