A general theory on spectral properties of state-homogeneous finite-state quasi-birth-death processes

DOI10.1016/S0377-2217(99)00367-7zbMath0989.90031OpenAlexW2048917764MaRDI QIDQ1595444

Sencer Yeralan, Mehmet Murat Fadıloğlu

Publication date: 11 February 2001

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(99)00367-7

zbMATH Keywords

queueingMarkov processesspectral analysisquasi-birth-death processesJordan canonical formsmatrix-polynomials

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (1)

Models of production lines as quasi-birth-death processes

Cites Work

• Manufacturing flow line systems: A review of models and analytical results
• Analysis of multistation production systems with limited buffer capacity. I: The subsystem model
• Models of production lines as quasi-birth-death processes
• Spectral expansion solution for a class of Markov models: application and comparison with the matrix-geometric method
• Birth-and-death processes on the integers with phases and general boundaries
• A logarithmic reduction algorithm for quasi-birth-death processes
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