A mean field limit for a lattice caricature of dynamic routing in circuit switched networks

DOI10.1214/aoap/1177005834zbMath0743.60010OpenAlexW2030299475MaRDI QIDQ1182678

S. Singh

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1214/aoap/1177005834

zbMATH Keywords

communication networksintegrodifferential equationinteracting particle systemsmean field limitdynamic routingtrunk reservationSimulation studiescircuit switched networksexistence of hysteresis phenomenamultiple equilibrium points

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Decentralized systems (93A14) Circuits, networks (94C99) Stochastic systems in control theory (general) (93E03) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17) Large-scale systems (93A15) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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