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We introduce a general framework for flow problems over hypergraphs. In our problem formulation, which we call the convex flow problem, we have a concave utility function for the net flow at every node and a concave utility function for…

Optimization and Control · Mathematics 2024-05-21 Theo Diamandis , Guillermo Angeris , Alan Edelman

We formulate an optimization problem for maximizing the data rate of a common message transmitted from nodes within an airborne network broadcast to a central station receiver while maintaining a set of intra-network rate demands. Assuming…

Optimization and Control · Mathematics 2017-06-08 Theodoros Tsiligkaridis

We consider a dissipative flow network that obeys the standard linear nodal flow conservation, and where flows on edges are driven by potential difference between adjacent nodes. We show that in the case when the flow is a monotonically…

Optimization and Control · Mathematics 2015-04-10 Sidhant Misra , Marc Vuffray , Michael Chertkov

A decomposition algorithm for solving large-scale security-constrained AC optimal power flow problems is presented. The formulation considered is the one used in the ARPA-E Grid Optimization (GO) Competition, Challenge 1, held from November…

Optimization and Control · Mathematics 2021-10-06 Frank E. Curtis , Daniel K. Molzahn , Shenyinying Tu , Andreas Wächter , Ermin Wei , Elizabeth Wong

We consider single-sink network flow problems. An instance consists of a capacitated graph (directed or undirected), a sink node $t$ and a set of demands that we want to send to the sink. Here demand $i$ is located at a node $s_i$ and…

Data Structures and Algorithms · Computer Science 2015-05-18 F. Bruce Shepherd , Adrian Vetta

The optimal power flow (OPF) problem is funda- mental in power distribution networks control and operation that underlies many important applications such as volt/var control and demand response, etc.. Large-scale highly volatile renewable…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven Low

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

We consider the broad class of decentralized optimal resource allocation problems in wireless networks, which can be formulated as a constrained statistical learning problems with a localized information structure. We develop the use of…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Zhiyang Wang , Mark Eisen , Alejandro Ribeiro

This paper introduces an efficient method for communication resource use in dense wireless areas where all nodes must communicate with a common destination node. The proposed method groups nodes based on their \newt{distance from the…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Haleh Tabrizi , Borja Peleato , Golnaz Farhadi , John M. Cioffi , Ghadah Aldabbagh

This paper considers decentralized consensus optimization problems where nodes of a network have access to different summands of a global objective function. Nodes cooperate to minimize the global objective by exchanging information with…

Optimization and Control · Mathematics 2016-09-21 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

We consider a resource allocation problem over an undirected network of agents, where edges of the network define communication links. The goal is to minimize the sum of agent-specific convex objective functions, while the agents' decisions…

Optimization and Control · Mathematics 2019-11-27 Goran Banjac , Felix Rey , Paul Goulart , John Lygeros

In this paper, we consider random access, wireless, multi-hop networks, with multi-packet reception capabilities, where multiple flows are forwarded to the gateways through node disjoint paths. We explore the issue of allocating flow on…

Networking and Internet Architecture · Computer Science 2016-03-29 Manolis Ploumidis , Nikolaos Pappas , Apostolos Traganitis

Network utility maximization is the most important problem in network traffic management. Given the growth of modern communication networks, we consider the utility maximization problem in a network with a large number of connections…

Optimization and Control · Mathematics 2019-12-12 Anastasiya Ivanova , Fedor Stonyakin , Dmitry Pasechnyuk , Evgeniya Vorontsova , Alexander Gasnikov

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

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 $m^{4/3+o(1)}U^{1/3}$ time. This improves upon the…

Data Structures and Algorithms · Computer Science 2020-04-16 Yang P. Liu , Aaron Sidford

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

In networks of autonomous agents (e.g., fleets of vehicles, scattered sensors), the problem of minimizing the sum of the agents' local functions has received a lot of interest. We tackle here this distributed optimization problem in the…

Optimization and Control · Mathematics 2021-10-19 Yu-Guan Hsieh , Franck Iutzeler , Jérôme Malick , Panayotis Mertikopoulos

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

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

This paper considers the optimization-based traffic allocation problem among multiple end points in connectionless networks. The network utility function is modeled as a non-concave function, since it is the best description of the quality…

Optimization and Control · Mathematics 2017-03-01 Jingyao Wang , Mahmoud Ashour , Constantino Lagoa , Necdet Aybat , Hao Che , Zhisheng Duan