Analysis of loss networks with routing

DOI10.1214/105051606000000466zbMath1121.60100arXivcs/0512088OpenAlexW2048618646MaRDI QIDQ997415

Danielle Tibi, Nelson Antunes, Philippe Robert, Christine Fricker

Publication date: 6 August 2007

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cs/0512088

zbMATH Keywords

scalingstochastic networksfixed point equationsasymptotic dynamical systems

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Queueing theory (aspects of probability theory) (60K25) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (4)

Nonlinear Markov processes in big networks ⋮ Analysis of bandwidth allocation on end-to-end QoS networks under budget control ⋮ Stochastic networks with multiple stable points ⋮ Multigrid methods combined with low-rank approximation for tensor-structured Markov chains

Cites Work

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• Blocking probabilities in large circuit-switched networks
• Dynamics of large uncontrolled loss networks
• On a Queueing Network Model for Cellular Mobile Telecommunications Networks
• Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks

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