FUNDAMENTAL MATRIX OF TRANSIENT QBD GENERATOR WITH FINITE STATES AND LEVEL DEPENDENT TRANSITIONS

DOI10.1142/S0217595909002407zbMath1186.60071OpenAlexW2087365504MaRDI QIDQ5850792

Yang Woo Shin

Publication date: 15 January 2010

Published in: Asia-Pacific Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217595909002407

zbMATH Keywords

fundamental matrixfirst passage timeretrial queuelevel-dependent quasi-birth-and-death processmultiprogramming model

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Continuous-time Markov processes on discrete state spaces (60J27)

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Cites Work

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• Censoring, factorizations, and spectral analysis for transition matrices with block-repeating entries
• On matrix-geometric solution of nested QBD chains
• Finite birth-and-death models in randomly changing environments
• Retrial Queueing Systems
• Matrix Analysis
• Birth-and-death processes on the integers with phases and general boundaries
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes

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