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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

Quantum networks are envisioned to enable reliable distribution and manipulation of quantum information across distances, forming the foundation of a future quantum internet. The fair and efficient allocation of communication resources in…

Quantum Physics · Physics 2026-03-13 Sounak Kar , Arpan Mukhopadhyay

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) 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 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

We introduce a distributed resource allocation framework for the Quantum Internet that relies on feedback-based, fully decentralized coordination to serve multiple co-existing applications. We develop quantum network control algorithms…

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

Quantum communication networks are emerging as a promising technology that could constitute a key building block in future communication networks in the 6G era and beyond. These networks have an inherent feature of parallelism that allows…

Networking and Internet Architecture · Computer Science 2021-06-01 Mahdi Chehimi , Walid Saad

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

The concave utility in the Network Utility Maximization (NUM) problem is only suitable for elastic flows. However, the networks with the multiclass traffic, the utility of inelastic traffic is usually represented by the sigmoidal function…

Systems and Control · Computer Science 2012-04-17 Phuong L. Vo , Nguyen H. Tran , Choong Seon Hong

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

Congestion control protocol and bandwidth allocation problems are often formulated into Network Utility Maximization (NUM) framework. Existing solutions for NUM generally focus on single-layered applications. As applications such as video…

Networking and Internet Architecture · Computer Science 2014-10-14 Hengky Susanto , ByungGuk Kim , Benyuan Liu

Quantum networks rely on the efficient distribution of entanglement to enable long-distance quantum communication and information processing. A key challenge in these networks is the design of routing protocols capable of maintaining high…

Networking and Internet Architecture · Computer Science 2026-05-25 Javier Vecino Peñas , Ana Fernández-Vilas , Rebeca P. Díaz-Redondo , Sergio Gándara Gándara , Manuel Fernández-Veiga

Network Utility Maximization (NUM) is often applied for the cross-layer design of wireless networks considering known wireless channels. However, realistic wireless channel capacities are stochastic bearing time-varying statistics,…

Systems and Control · Computer Science 2016-06-14 Eleni Stai , Michail Loulakis , Symeon Papavassiliou

The complexity of large-scale 6G-and-beyond networks demands innovative approaches for multi-objective optimization over vast search spaces, a task often intractable. Quantum computing (QC) emerges as a promising technology for efficient…

Networking and Internet Architecture · Computer Science 2025-09-10 Sebastian Macaluso , Giovanni Geraci , Elías F. Combarro , Sergi Abadal , Ioannis Arapakis , Sofia Vallecorsa , Eduard Alarcón

We present an approach to purification and entanglement routing on complex quantum network architectures, that is, how a quantum network equipped with imperfect channel fidelities and limited memory storage time can distribute entanglement…

The network utility maximization problem (NUM) for multi-path is a problem which is non-strictly convex and non-separable. Using Jensen's inequality, we approximate the NUM to a strictly convex and separable problem which can be solved…

Optimization and Control · Mathematics 2013-01-07 Phuong L. Vo , Anh T. Le , Choong S. Hong

There will be a fast-paced shift from conventional network systems to novel quantum networks that are supported by the quantum entanglement and teleportation, key technologies of the quantum era, to enable secured data transmissions in the…

Networking and Internet Architecture · Computer Science 2022-07-26 Tu N. Nguyen , Dung H. P. Nguyen , Dang H. Pham , Bing-Hong Liu , Hoa N. Nguyen

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

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
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