Approximating the ΣGI/G/squeue by Using Aggregation and Matrix Analytic Methods

DOI10.1081/STM-200056017zbMath1090.90042OpenAlexW2133516937MaRDI QIDQ5462816

Marcel Van Vuuren, Ivo J. B. F. Adan

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-200056017

zbMATH Keywords

approximationMarkovian arrival processstate-space reductionqueueing systemmultiple arrival streamsmatrix analytical methodsmulti-servers

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov renewal processes, semi-Markov processes (60K15)

Cites Work

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• Performance analysis of multi-server tandem queues with finite buffers and blocking
• Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues
• Approximating a Point Process by a Renewal Process, I: Two Basic Methods
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Applied Probability and Queues
• On the Solution of a Nonlinear Matrix Equation Arising in Queueing Problems
• Constructing a correlated sequence of matrix exponentials with invariant first-order properties

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