Ergodic optimization of stochastic differential systems in wireless networks

DOI10.1007/S11045-018-0563-7zbMath1405.93027OpenAlexW2789661900MaRDI QIDQ1710965

Hana Baili

Publication date: 24 January 2019

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-018-0563-7

zbMATH Keywords

optimal controlergodic theoremsheavy traffic analysisweak convergence to a diffusion process

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Stochastic systems in control theory (general) (93E03) Control/observation systems governed by ordinary differential equations (93C15) Dynamical systems in optimization and economics (37N40) Large-scale systems (93A15)

Cites Work

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• Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime: asymptotics of the stationary distribution
• Diffusion models and steady-state approximations for exponentially ergodic Markovian queues
• Optimization of hybrid stochastic differential systems in communications networks
• Reflected Brownian motion on an orthant
• The Fokker-Planck equation. Methods of solution and applications.
• Random perturbation methods with applications in science and engineering
• Brownian models of multiclass queueing networks: Current status and open problems
• Validity of heavy traffic steady-state approximations in generalized Jackson networks
• Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic
• Brownian models of open queueing networks with homogeneous customer populations^∗
• Basic Principles and Applications of Probability Theory
• Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines
• Control of mobile communications with time-varying channels in heavy traffic
• Optimal Power Allocation for a Time-Varying Wireless Channel Under Heavy-Traffic Approximation
• DIFFUSION APPROXIMATION FOR STATIONARY ANALYSIS OF QUEUES AND THEIR NETWORKS: A REVIEW
• Handbook of stochastic methods for physics, chemistry and the natural sciences.

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