Spatial homogenization in a stochastic network with mobility

DOI10.1214/09-AAP613zbMath1202.60150arXiv0807.1205OpenAlexW2171164120MaRDI QIDQ2268729

Danielle Tibi, Florian Simatos

Publication date: 8 March 2010

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

Full work available at URL: https://arxiv.org/abs/0807.1205

zbMATH Keywords

stabilityfluid limitsmobile network

Mathematics Subject Classification ID

Related Items (7)

On the Transient Behavior of Ehrenfest and Engset Processes ⋮ A stochastic network with mobile users in heavy traffic ⋮ On the flow-level stability of data networks without congestion control: the case of linear networks and upstream trees ⋮ Load balancing via random local search in closed and open systems ⋮ Mobility can drastically improve the heavy traffic performance from \(\frac{1}{1-\varrho}\) to \(\log(1/(1-\varrho))\) ⋮ Flow-level performance and capacity of wireless networks with user mobility ⋮ Heavy-Traffic Limits for a Many-Server Queueing Network with Switchover

Cites Work

• Lyapunov functions for semimartingale reflecting Brownian motions
• Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks
• On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
• Convergence to equilibria for fluid models of FIFO queueing networks
• Ergodicity of stochastic processes describing the operation of open queueing networks
• Entropy dissipation estimates in a zero-range dynamics
• Some limit theorems for positive recurrent branching Markov chains: II
• On the rates of convergence of Erlang's model
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