Large homogeneous communication networks with Markovian access control. I: Equilibria and local stability

DOI10.1016/0022-247X(84)90142-2zbMath0588.94001MaRDI QIDQ1073769

Semyon M. Meerkov, John Cicero, Zeev Schuss

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

algebraic curvestate space modelmulti-access communicationaverage steady state buffer occupancyload linelocal stability of a steady statestochastic finite-difference equations

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queues and service in operations research (90B22) Communication theory (94A05)

Related Items (2)

Large homogeneous communication networks with Markovian access control. II: Global behavior and residence time ⋮ Distributed communications in collision channels with errors

Cites Work

• System-theoretic properties of large communication networks with Markovian multiaccess control disciplines
• Simplified description of slow Markov walks. I
• Tree algorithms for packet broadcast channels
• Bistable Behavior of ALOHA-Type Systems
• Packet Switching in a Multiaccess Broadcast Channel: Performance Evaluation
• Stability and Optimal Control of the Packet Switching Broadcast Channel
• Group random-access disciplines for multi-access broadcast channels

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