Resource Allocation in Communication Networks with Large Number of Users: The Dual Stochastic Gradient Method

DOI10.1137/S0040585X97T990289zbMath1462.90032arXiv1905.04382OpenAlexW3158294627MaRDI QIDQ3389450

Dmitry B. Rokhlin

Publication date: 10 May 2021

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04382

zbMATH Keywords

dualitynetwork utility maximizationlarge number of usersstochastic gradient projection method

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Microeconomic theory (price theory and economic markets) (91B24) Resource and cost allocation (including fair division, apportionment, etc.) (91B32) Communication theory (94A05)

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Cites Work

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• Dual subgradient method with averaging for optimal resource allocation
• The mathematics of internet congestion control
• Introduction to Nonlinear Optimization
• Rate control for communication networks: shadow prices, proportional fairness and stability
• The Impact of Stochastic Noisy Feedback on Distributed Network Utility Maximization
• Network Optimization and Control
• First-Order Methods in Optimization
• An <formula formulatype="inline"><tex Notation="TeX">$O(1/k)$</tex> </formula> Gradient Method for Network Resource Allocation Problems

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