Dobrushin's approach to queueing network theory

DOI10.1155/S1048953396000342zbMath0876.60074OpenAlexW1998831511MaRDI QIDQ675248

F. I. Karpelevich, Eugene A. Pechersky, Yu. M. Sukhov

Publication date: 29 October 1997

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47746

zbMATH Keywords

large deviationJackson networknetwork stabilityinvariant distributionKelly networkPoissonian conjectureproduct-form distribution

Mathematics Subject Classification ID

Queues and service in operations research (90B22) History of mathematics in the 20th century (01A60) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (4)

A Multi-Class Mean-Field Model with Graph Structure for TCP Flows ⋮ Stochastic networks with multiple stable points ⋮ Fast Jackson networks ⋮ Interacting multi-class transmissions in large stochastic networks

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