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Most existing work uses dual decomposition and subgradient methods to solve Network Utility Maximization (NUM) problems in a distributed manner, which suffer from slow rate of convergence properties. This work develops an alternative…

Optimization and Control · Mathematics 2015-03-17 Ermin Wei , Asuman Ozdaglar , Ali Jadbabaie

We study a network utility maximization (NUM) decomposition in which the set of flow rates is grouped by source-destination pairs. We develop theorems for both single-path and multipath cases, which relate an arbitrary NUM problem involving…

Networking and Internet Architecture · Computer Science 2017-03-03 Riten Gupta , Lieven Vandenberghe , Mario Gerla

Network Utility Maximization (NUM) is a mathematical framework that has endowed researchers with powerful methods for designing and analyzing classical communication protocols. NUM has also enabled the development of distributed algorithms…

Quantum Physics · Physics 2022-10-18 Gayane Vardoyan , Stephanie Wehner

This paper addresses rate control for transmission of scalable video streams via Network Utility Maximization (NUM) formulation. Due to stringent QoS requirements of video streams and specific characterization of utility experienced by…

Multimedia · Computer Science 2024-10-30 Mohammad Sadegh Talebi , Ahmad Khonsari , Mohammad Hassan Hajiesmaili , Sina Jafarpour

The amount of transmitted data in computer networks is expected to grow considerably in the future, putting more and more pressure on the network infrastructures. In order to guarantee a good service, it then becomes fundamental to use the…

Networking and Internet Architecture · Computer Science 2018-05-14 Stefano D'Aronco , Pascal Frossard

Network utility maximization (NUM) is a general framework for designing distributed optimization algorithms for large-scale networks. An economic challenge arises in the presence of strategic agents' private information. Existing studies…

Computer Science and Game Theory · Computer Science 2021-01-13 Meng Zhang , Deepanshu Vasal

Distributed network utility maximization (NUM) has received an increasing intensity of interest over the past few years. Distributed solutions (e.g., the primal-dual gradient method) have been intensively investigated under fading channels.…

Information Theory · Computer Science 2015-03-17 Junting Chen , Vincent K. N. Lau , Yong Cheng

Network Utility Maximization (NUM) studies the problems of allocating traffic rates to network users in order to maximize the users' total utility subject to network resource constraints. In this paper, we propose a new NUM framework,…

Networking and Internet Architecture · Computer Science 2020-12-18 Xinzhe Fu , Eytan Modiano

Network Utility Maximisation (NUM) addresses the problem of allocating resources fairly within a network and explores the ways to achieve optimal allocation in real-world networks. Although extensively studied in classical networks, NUM is…

Networking and Internet Architecture · Computer Science 2024-07-25 Sounak Kar , Stephanie Wehner

We introduce a novel algorithm for solving network utility maximization (NUM) problems that arise in resource allocation schemes over networks with known safety-critical constraints, where the constraints form an arbitrary convex and…

Optimization and Control · Mathematics 2024-05-21 Berkay Turan , Spencer Hutchinson , Mahnoosh Alizadeh

Fair resource allocation is one of the most important topics in communication networks. Existing solutions almost exclusively assume each user utility function is known and concave. This paper seeks to answer the following question: how to…

Machine Learning · Computer Science 2023-01-09 Kaiyi Ji , Lei Ying

Software-defined networks (SDNs) are a huge evolution in simplifying implementation and network operation which have reduced costs and made the network programmable. Although SDNs are a suitable option for solving some of the previous…

Networking and Internet Architecture · Computer Science 2019-10-03 Mahdi Sarbazi , Mehdi SadeghZadeh , seyyed Javad Mir Abedini

We present a GPU-accelerated proximal message passing algorithm for large-scale network utility maximization (NUM). NUM is a fundamental problem in resource allocation, where resources are allocated across various streams in a network to…

Optimization and Control · Mathematics 2025-09-16 Akshay Sreekumar , Anthony Degleris , Ram Rajagopal

Network sharing has become a key feature of various enablers of the next generation network, such as network function virtualization and fog computing architectures. Network utility maximization (NUM) is a general framework for achieving…

Networking and Internet Architecture · Computer Science 2019-07-08 Meng Zhang , Jianwei Huang

Many resource allocation problems can be formulated as a constrained maximization of a utility function. Network Utility Maximization (NUM) applies optimization techniques to achieve decomposition by duality or the primal-dual method.…

Networking and Internet Architecture · Computer Science 2016-11-17 Evripidis Paraskevas , Tao Jiang , John S. Baras

This paper proposes a distributed algorithm for a network of agents to solve an optimization problem with separable objective function and locally coupled constraints. Our strategy is based on reformulating the original constrained problem…

Optimization and Control · Mathematics 2021-03-12 Priyank Srivastava , Jorge Cortes

In modern large-scale networked systems, rapidly solving optimization problems while utilizing communication resources efficiently is critical for addressing complex tasks. In this paper, we consider an unconstrained distributed…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Ruochen Wu , Xu Du , Karl H. Johansson , Apostolos I. Rikos

Recent work by Zymnis et al. proposes an efficient primal-dual interior-point method, using a truncated Newton method, for solving the network utility maximization (NUM) problem. This method has shown superior performance relative to the…

Information Theory · Computer Science 2010-03-23 Danny Bickson , Yoav Tock , Argyris Zymnis , Stephen Boyd , Danny Dolev

In this paper, we are interested in solving Network Utility Maximization (NUM) problems whose underlying local utilities and constraints depend on a complex stochastic dynamic environment. While the general model applies broadly, this work…

Systems and Control · Electrical Eng. & Systems 2024-06-07 Anna Scaglione , Nurullah Karakoc

Distributed and iterative network utility maximization algorithms, such as the primal-dual algorithms or the network-user decomposition algorithms, often involve trajectories where the iterates may be infeasible, convergence to the optimal…

Optimization and Control · Mathematics 2018-12-11 Akhil P T , Rajesh Sundaresan
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