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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

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

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

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

We consider a utility maximization problem over partially observable Markov ON/OFF channels. In this network instantaneous channel states are never known, and at most one user is selected for service in every slot according to the partial…

Optimization and Control · Mathematics 2010-08-23 Chih-ping Li , Michael J. Neely

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

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

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 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

In the classic multi-armed bandits problem, the goal is to have a policy for dynamically operating arms that each yield stochastic rewards with unknown means. The key metric of interest is regret, defined as the gap between the expected…

Optimization and Control · Mathematics 2010-11-23 Yi Gai , Bhaskar Krishnamachari , Rahul Jain

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

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

Data Structures and Algorithms · Computer Science 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

We define and analyze a multi-agent multi-armed bandit problem in which decision-making agents can observe the choices and rewards of their neighbors. Neighbors are defined by a network graph with heterogeneous and stochastic…

Optimization and Control · Mathematics 2019-05-22 Udari Madhushani , Naomi Ehrich Leonard

Stochastic Network Optimization (SNO) concerns scheduling in stochastic queueing systems. It has been widely studied in network theory. Classical SNO algorithms require network conditions to be stationary with time, which fails to capture…

Optimization and Control · Mathematics 2024-08-30 Yan Dai , Longbo 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

We study the stochastic multi-armed bandit (MAB) problem in the presence of side-observations across actions that occur as a result of an underlying network structure. In our model, a bipartite graph captures the relationship between…

Machine Learning · Computer Science 2017-07-14 Swapna Buccapatnam , Fang Liu , Atilla Eryilmaz , Ness B. Shroff

Energy consumption is a main issue of concern in wireless networks. Energy minimization increases the time that networks' nodes work properly without recharging or substituting batteries. Another criterion for network performance is data…

Information Theory · Computer Science 2010-12-13 Amirmahdi Khodaian , Babak H. Khalaj

We consider a situation where an agent has $T$ ressources to be allocated to a larger number $N$ of actions. Each action can be completed at most once and results in a stochastic reward with unknown mean. The goal of the agent is to…

Statistics Theory · Mathematics 2020-11-04 Solenne Gaucher

Stochastic models have been dominant in network optimization theory for over two decades, due to their analytical tractability. However, these models fail to capture non-stationary or even adversarial network dynamics which are of…

Networking and Internet Architecture · Computer Science 2017-12-29 Qingkai Liang , Eytan Modiano
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