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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

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

Network utility maximization (NUM) is a well-studied problem for network traffic management and resource allocation. Because of the inherent decentralization and complexity of networks, most researches develop decentralized NUM algorithms.…

Networking and Internet Architecture · Computer Science 2024-08-19 Ying Tian , Zhiliang Wang , Xia Yin , Xingang Shi , Jiahai Yang , Han Zhang

Network Utility Maximization (NUM) provides the key conceptual framework to study resource allocation amongst a collection of users/entities across disciplines as diverse as economics, law and engineering. In network engineering, this…

Systems and Control · Computer Science 2015-03-19 Vinay Joseph , Gustavo de Veciana

In this paper, we study a novel Stochastic Network Utility Maximization (NUM) problem where the utilities of agents are unknown. The utility of each agent depends on the amount of resource it receives from a network operator/controller. The…

Machine Learning · Computer Science 2020-06-18 Arun Verma , Manjesh K. Hanawal

Many important problems in multiagent systems involve resource allocations. Self-interested agents may lie about their valuations if doing so increases their own utilities. Therefore, it is necessary to design mechanisms (collective…

Computer Science and Game Theory · Computer Science 2022-03-14 Guanhua Wang , Wuli Zuo , Mingyu Guo

The classic Vickrey-Clarke-Groves (VCG) mechanism ensures incentive compatibility, i.e., that truth-telling of all agents is a dominant strategy, for a static one-shot game. However, in a dynamic environment that unfolds over time, the…

Systems and Control · Electrical Eng. & Systems 2019-06-13 Ke Ma , P. R. Kumar

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

Network Utility Maximization (NUM) provides a key conceptual framework to study reward allocation amongst a collection of users/entities across disciplines as diverse as economics, law and engineering. In network engineering, this framework…

Systems and Control · Computer Science 2015-03-20 Vinay Joseph , Gustavo de Veciana , Ari Arapostathis

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

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

To address the exponentially increasing data rate demands of end users, necessitates efficient spectrum allocation among co-existing operators in licensed and unlicensed spectrum bands to cater to the temporal and spatial variations of…

Computer Science and Game Theory · Computer Science 2020-01-22 Indu Yadav , Ankur A. Kulkarni , Abhay Karandikar

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

Many network resource allocation problems can be viewed as allocating a divisible resource, where the allocations are constrained to lie in a polymatroid. We consider market-based mechanisms for such problems. Though the…

Computer Science and Game Theory · Computer Science 2019-04-29 Hao Ge , Randall Berry

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

Classic network utility maximization problems are usually solved assuming all information is available, implying that information not locally available is always truthfully reported. This may not be practical in all scenarios, especially in…

Computer Science and Game Theory · Computer Science 2019-09-10 Jie Gao , Lian Zhao , Xuemin , Shen

We study the problem of allocating Electric Vehicles (EVs) to charging stations and scheduling their charging. We develop offline and online solutions that treat EV users as self-interested agents that aim to maximise their profit and…

Computer Science and Game Theory · Computer Science 2020-07-21 Emmanouil Rigas , Enrico Gerding , Sebastian Stein , Sarvapali Ramchurn , Nick Bassiliades

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

To address the demand of exponentially increasing end users efficient use of limited spectrum is a necessity. For this, spectrum allocation among co-existing operators in licensed and unlicensed spectrum band is required to cater to the…

Computer Science and Game Theory · Computer Science 2018-12-04 Indu Yadav , Ankur A. Kulkarni , Abhay Karandikar

Transportation network design often involves multiple stakeholders with diverse priorities. We consider a system with a hierarchical multi-agent structure, featuring self-optimized subnetwork operators at the lower level and a central…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Mingjia He , Yannik Werner , Andrea Censi , Emilio Frazzoli , Gioele Zardini
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