Interference queueing networks on grids

DOI10.1214/19-AAP1470zbMath1442.60104arXiv1710.09797OpenAlexW2963655325MaRDI QIDQ2286457

Abishek Sankararaman, François Baccelli, Sergeĭ Georgievich Foss

Publication date: 22 January 2020

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

Full work available at URL: https://arxiv.org/abs/1710.09797

zbMATH Keywords

monotonicitypercolationwireless networkstationary distributioninformation theoryqueueing theorycoupling from the paststability and instabilityparticle systemsrate conservation principlepositive correlationinteracting queuesinterference fieldloynes' constructionmass transport theorem

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (3)

Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks ⋮ Stability and moment bounds under utility-maximising service allocations: Finite and infinite networks ⋮ Ergodicity and steady state analysis for interference queueing networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gibbs measures and phase transitions.
• The net output process of a system with infinitely many queues
• On polling systems with infinitely many stations
• Queueing system with selection of the shortest of two queues: An asymptotic approach
• The existence of fixed points for the \(\cdot\)/GI/1 queue.
• Asymptotic results on infinite tandem queueing networks
• Large tandem queueing networks with blocking
• Stability conditions for a discrete-time decentralised medium access algorithm
• Power law condition for stability of Poisson hail
• Ergodicity of a polling network with an infinite number of stations
• Completely analytical interactions: Constructive description
• Transience of multiclass queueing networks via fluid limit models
• Balanced loads in infinite networks
• The hydrodynamic limit of a randomized load balancing network
• Mutual service processes in Euclidean spaces: existence and ergodicity
• Poisson hail on a hot ground
• Empirical Processes with Applications to Statistics
• A Queueing System with Local Interaction
• On Jackson Networks on Denumerable Graphs
• Chaoticity on path space for a queueing network with selection of the shortest queue among several
• Spatial Birth–Death Wireless Networks
• On the saturation rule for the stability of queues
• Bounds for clump size characteristics in the Boolean model
• Stochastic Geometry and Wireless Networks: Volume I Theory
• The Power of Slightly More than One Sample in Randomized Load Balancing
• Elements of Information Theory
• Shape theorems for Poisson hail on a bivariate ground

This page was built for publication: Interference queueing networks on grids