Diffusion approximation of star-shaped symmetric networks with losses

DOI10.1007/BF01156616zbMath0753.60087MaRDI QIDQ1177805

M. Yu. Kradinov

Publication date: 26 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Ornstein-Uhlenbeck processinfinitesimal generatorqueueing networkloss modelnumber of busy channels

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Functional limit theorems; invariance principles (60F17) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Cites Work

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• Blocking probabilities in large circuit-switched networks
• Implied costs in loss networks