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We consider allcast and multicast flow problems where either all of the nodes or only a subset of the nodes may be in session. Traffic from each node in the session has to be sent to every other node in the session. If the session does not…

Information Theory · Computer Science 2013-02-11 Vasuki Narasimha Swamy , Srikrishna Bhashyam , Rajesh Sundaresan , Pramod Viswanath

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

Optimization and Control · Mathematics 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

Graph signal processing benefits significantly from the direct and highly adaptable supplementary techniques offered by partition of unity methods (PUMs) on graphs. In our approach, we demonstrate the generation of a partition of unity…

Numerical Analysis · Mathematics 2023-11-10 Roberto Cavoretto , Alessandra De Rossi , Sandro Lancellotti , Federico Romaniello

Modeling traffic distribution and extracting optimal flows in multilayer networks is of utmost importance to design efficient multi-modal network infrastructures. Recent results based on optimal transport theory provide powerful and…

Physics and Society · Physics 2022-05-24 Abdullahi Adinoyi Ibrahim , Alessandro Lonardi , Caterina De Bacco

In this paper, we optimize user scheduling, power allocation and beamforming in distributed multiple-input multiple-output (MIMO) networks implementing user-centric clustering. We study both the coherent and non-coherent transmission modes,…

Information Theory · Computer Science 2021-08-16 Hussein A. Ammar , Raviraj Adve , Shahram Shahbazpanahi , Gary Boudreau , Kothapalli Venkata Srinivas

Bach et al. [1] recently presented an algorithm for constructing confluent drawings, by leveraging power graph decomposition to generate an auxiliary routing graph. We identify two issues with their method which we call the node split and…

Computational Geometry · Computer Science 2019-09-04 Jonathan X. Zheng , Samraat Pawar , Dan F. M. Goodman

Given a flow network with variable suppliers and fixed consumers, the minimax flow problem consists in minimizing the maximum flow between nodes, subject to flow conservation and capacity constraints. We solve this problem over acyclic…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Marco Coraggio , Saber Jafarpour , Francesco Bullo , Mario di Bernardo

In this work, we develop a new framework for dynamic network flow problems based on optimal transport theory. We show that the dynamic multi-commodity minimum-cost network flow problem can be formulated as a multi-marginal optimal transport…

Optimization and Control · Mathematics 2021-06-29 Isabel Haasler , Axel Ringh , Yongxin Chen , Johan Karlsson

Capacitated fixed-charge network flows are used to model a variety of problems in telecommunication, facility location, production planning and supply chain management. In this paper, we investigate capacitated path substructures and derive…

Optimization and Control · Mathematics 2017-05-18 Alper Atamturk , Birce Tezel , Simge Kucukyavuz

This paper investigates the effect of network topology on the fair allocation of network resources among a set of agents, an all-important issue for the efficiency of transportation networks all around us. We analyse a generic mechanism…

Physics and Society · Physics 2015-05-30 Rui Carvalho , Lubos Buzna , Wolfram Just , Dirk Helbing , David K. Arrowsmith

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

Optimization and Control · Mathematics 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

We consider proportional fair rate allocation in a heterogeneous network with a mix of LTE and 802.11 cells which supports multipath and multihomed operation (simultaneous connection of a user device to multiple LTE BSs and 802.11 APs). We…

Networking and Internet Architecture · Computer Science 2016-11-18 Bahar Partov , Douglas J. Leith

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

Machine Learning · Computer Science 2023-08-31 Luis Böttcher , Hinrikus Wolf , Bastian Jung , Philipp Lutat , Marc Trageser , Oliver Pohl , Andreas Ulbig , Martin Grohe

We study an incremental network design problem, where in each time period of the planning horizon an arc can be added to the network and a maximum flow problem is solved, and where the objective is to maximize the cumulative flow over the…

Discrete Mathematics · Computer Science 2014-12-12 Thomas Kalinowski , Dmytro Matsypura , Martin W. P. Savelsbergh

In this letter, we investigate the resource allocation for downlink multi-cell coordinated OFDMA wireless networks, in which power allocation and subcarrier scheduling are jointly optimized. Aiming at maximizing the weighted sum of the…

Information Theory · Computer Science 2012-09-18 Zesong Fei , Shuo Li , Chengwen Xing , Yiqing Zhou , Jingming Kuang

We consider the problem of identifying a maximum clique in a given graph. We have proposed a mathematical model for this problem. The model resembles the matrix decomposition of the adjacency matrix of a given graph. The objective function…

Optimization and Control · Mathematics 2023-07-19 Salma Omer , Montaz Ali

Decomposing a network flow into weighted paths has numerous applications. Some applications require any decomposition that is optimal w.r.t. some property such as number of paths, robustness, or length. Many bioinformatic applications…

Data Structures and Algorithms · Computer Science 2022-01-26 Shahbaz Khan , Milla Kortelainen , Manuel Cáceres , Lucia Williams , Alexandru I. Tomescu

The performance of computer networks relies on how bandwidth is shared among different flows. Fair resource allocation is a challenging problem particularly when the flows evolve over time.To address this issue, bandwidth sharing techniques…

Networking and Internet Architecture · Computer Science 2017-11-28 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

Traffic flows in a distributed computing network require both transmission and processing, and can be interdicted by removing either communication or computation resources. We study the robustness of a distributed computing network under…

Networking and Internet Architecture · Computer Science 2021-11-29 Jianan Zhang , Hyang-Won Lee , Eytan Modiano