Queuing system evolution in a diffusion approximation scheme

DOI10.1007/S10559-009-9108-2zbMath1181.60135OpenAlexW2142208006MaRDI QIDQ1040411

A. V. Mamonova, Lu. F. Griza

Publication date: 24 November 2009

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-009-9108-2

zbMATH Keywords

singular perturbation problemcompensating operatorgenerating operatoraveraging and diffusion approximation schemequeuing system of type \([SM|M|\infty ^N\)]semimarkov processstationary phase merging

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov renewal processes, semi-Markov processes (60K15) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (1)

Fluctuations of queuing processes with semi-Markov (impulse) flows

Cites Work

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• Queueing networks with multichannel nodes and recurrent input flow
• Superposition of Markov renewal processes in stationary phase integration
• Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes

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