Transient analysis of piecewise homogeneous QBD process

DOI10.1080/15326349.2020.1810581zbMath1469.60265OpenAlexW3083251129MaRDI QIDQ4994063

Gábor Horváth, Salah Al-Deen Almousa, Miklós Telek

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1080/15326349.2020.1810581

zbMATH Keywords

Laplace transformnumerical analysistransient analysismatrix geometric seriespiecewise homogeneous QBD process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• Fluid queues with level dependent evolution
• The busy period of queues which have a matrix-geometric steady state probability vector
• The time-dependent expected reward and deviation matrix of a finite QBD process
• Transient analysis of quasi-birth-death processes
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Introduction to Queueing Systems with Telecommunication Applications

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