Averaging in Markov Models with Fast Semi-Markov Switches and Applications

DOI10.1081/STA-120028682zbMath1114.60315MaRDI QIDQ3155276

Vladimir V. Anisimov

Publication date: 14 January 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov renewal processes, semi-Markov processes (60K15) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (1)

Compensating operator and weak convergence of semi-Markov process to the diffusion process without balance condition

Cites Work

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• Averaging methods for transient regimes in overloading retrial queueing systems.
• Averaging in Markov models with fast Markov switches and applications to queueing models
• Switching processes: Averaging principle, diffusion approximation and applications
• Applications of limit theorems for switching processes

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