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We consider a heterogeneous network (HetNet) of base stations (BSs) connected via a backhaul network of routers and wired/wireless links with limited capacity. The optimal provision of such networks requires proper resource allocation…

Information Theory · Computer Science 2013-12-20 Wei-Cheng Liao , Mingyi Hong , Hamid Farmanbar , Xu Li , Zhi-Quan Luo , Hang Zhang

In this paper, we generalize the minimum flow decomposition problem (MFD) to incorporate uncertain edge capacities and tackle it from the perspective of robust optimization. In the classical flow decomposition problem, a network flow is…

Optimization and Control · Mathematics 2025-10-17 Moritz Stinzendörfer , Philine Schiewe , Fabricio Oliveira

In this paper, we introduce a unified framework for studying various cloud traffic management problems, ranging from geographical load balancing to backbone traffic engineering. We first abstract these real-world problems as a…

Networking and Internet Architecture · Computer Science 2016-02-04 Chen Feng , Hong Xu , Baochun Li

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

This paper studies a combined space partitioning and network flow optimization problem, with applications to large-scale power, transportation, or communication systems. In dense wireless networks, one may want to simultaneously optimize…

Optimization and Control · Mathematics 2025-09-16 Théo Laurentin , Patrick Coirault , Emmanuel Moulay , Antoine Lesage-Landry , Jerome Le Ny

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 present elements of a typing theory for flow networks, where "types", "typings", and "type inference" are formulated in terms of familiar notions from polyhedral analysis and convex optimization. Based on this typing theory, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-22 Assaf Kfoury

Consider a set of networked agents endowed with private cost functions and seeking to find a consensus on the minimizer of the aggregate cost. A new class of random asynchronous distributed optimization methods is introduced. The methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-13 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem

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

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

In recent years, there has been an increasing demand for ubiquitous streaming like applications in data networks. In this paper, we concentrate on NUM-based rate allocation for streaming applications with the so-called S-curve utility…

Networking and Internet Architecture · Computer Science 2015-03-19 Ali Sehati , Mohammad Sadegh Talebi , Ahmad Khonsari

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

In this paper, we review the parallel and distributed optimization algorithms based on alternating direction method of multipliers (ADMM) for solving "big data" optimization problem in smart grid communication networks. We first introduce…

Systems and Control · Computer Science 2015-03-03 Lanchao Liu , Zhu Han

A network $\mathcal{N}$ is formed by a (multi)digraph $D$ together with a \emph{capacity function} $u : A(D) \to R_+$, and it is denoted by $\mathcal{N} = (D,u)$. A flow on $\mathcal{N}$ is a function $x: A(D) \to R_+$ such that $x(a) \leq…

Computational Complexity · Computer Science 2025-03-11 Claudio Carvalho Neto , Ana Karolinna Maia , Cláudia Linhares Sales , Jonas Costa Ferreira da Silva

In this paper we provide an algorithm which given any $m$-edge $n$-vertex directed graph with integer capacities at most $U$ computes a maximum $s$-$t$ flow for any vertices $s$ and $t$ in $m^{11/8+o(1)}U^{1/4}$ time with high probability.…

Data Structures and Algorithms · Computer Science 2019-11-01 Yang P. Liu , Aaron Sidford

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

The support of a flow $x$ in a network is the subdigraph induced by the arcs $uv$ for which $x(uv)>0$. We discuss a number of results on flows in networks where we put certain restrictions on structure of the support of the flow. Many of…

Discrete Mathematics · Computer Science 2024-05-16 Stéphane Bessy , Jørgen Bang-Jensen , Lucas Picasarri-Arrieta

We consider the unit commitment (UC) problem that employs the alternating current optimal power flow (ACOPF) constraints, which is formulated as a mixed-integer nonlinear programming problem and thus challenging to solve in practice. We…

Optimization and Control · Mathematics 2023-10-23 Weiqi Zhang , Youngdae Kim , Kibaek Kim

The problem of maximizing the information flow through a sensor network tasked with an inference objective at the fusion center is considered. The sensor nodes take observations, compress and send them to the fusion center through a network…

Optimization and Control · Mathematics 2019-10-28 Aditya Deshmukh , Jing Liu , Venugopal V. Veeravalli , Gunjan Verma

In this paper, we consider a multi-user mobile edge computing (MEC) network powered by wireless power transfer (WPT), where each energy-harvesting WD follows a binary computation offloading policy, i.e., data set of a task has to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-26 Suzhi Bi , Ying-Jun Angela Zhang