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This paper considers the use of energy harvesters, instead of conventional time-invariant energy sources, in wireless cooperative communication. For the purpose of exposition, we study the classic three-node Gaussian relay channel with…

Information Theory · Computer Science 2016-11-17 Chuan Huang , Rui Zhang , Shuguang Cui

Capacity constrained optimal transport is a variant of optimal transport, which adds extra constraints on the set of feasible couplings in the original optimal transport problem to limit the mass transported between each pair of source and…

Optimization and Control · Mathematics 2025-02-13 Tianhao Wu , Qihao Cheng , Zihao Wang , Chaorui Zhang , Bo Bai , Zhongyi Huang , Hao Wu

This paper considers a 2-player strategic game for network routing under link disruptions. Player 1 (defender) routes flow through a network to maximize her value of effective flow while facing transportation costs. Player 2 (attacker)…

Computer Science and Game Theory · Computer Science 2016-04-19 Mathieu Dahan , Saurabh Amin

It is already known that in multicast (single source, multiple sinks) network, random linear network coding can achieve the maximum flow upper bound. In this paper, we investigate how random linear network coding behaves in general…

Information Theory · Computer Science 2012-10-09 Yuan Li

To enable fast uncertainty quantification of fluid flow in a discrete fracture network (DFN), we present two approaches to quickly compute fluid flow in DFNs using combinatorial optimization algorithms. Specifically, the presented Hanan…

Geophysics · Physics 2018-11-14 A. Hobé , D. Vogler , M. P. Seybold , A. Ebigbo , R. R. Settgast , M. O. Saar

Motivated by the challenge of analyzing data sets with periodic boundary conditions to investigate transportation properties, we introduce a concept of circular max-flow for graphs mapped onto the circle. Unlike classical max-flow…

Algebraic Topology · Mathematics 2024-12-18 Matteo Pegoraro , Lisbeth Fajstrup

Dual descent methods are commonly used to solve network flow optimization problems, since their implementation can be distributed over the network. These algorithms, however, often exhibit slow convergence rates. Approximate Newton methods…

Optimization and Control · Mathematics 2015-03-25 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Energy saving is becoming an important issue in the design and use of computer networks. In this work we propose a problem that considers the use of rate adaptation as the energy saving strategy in networks. The problem is modeled as an…

Networking and Internet Architecture · Computer Science 2013-02-04 Lin Wang , Antonio Fernández Anta , Fa Zhang , Chenying Hou , Zhiyong Liu

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

Consider a simple finite graph and its nodes to represent identical water barrels (containing different amounts of water) on a level plane. Each edge corresponds to a (locked, water-filled) pipe connecting two barrels below the plane. We…

Combinatorics · Mathematics 2025-01-29 Timo Vilkas

The robust minimum cost flow problem under consistent flow constraints (RobMCF$\equiv$) is a new extension of the minimum cost flow (MCF) problem. In the RobMCF$\equiv$ problem, we consider demand and supply that are subject to uncertainty.…

Optimization and Control · Mathematics 2020-08-06 Christina Büsing , Arie M. C. A. Koster , Sabrina Schmitz

In this paper, a cooperative transmission design for a general multi-node half-duplex wireless relay network is presented. It is assumed that the nodes operate in half-duplex mode and that channel information is available at the nodes. The…

Information Theory · Computer Science 2009-11-17 Debdeep Chatterjee , Tan F. Wong , Tat M. Lok

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

Fluid Dynamics · Physics 2011-11-02 Youngdon Kwon

In this paper, the power flow solution of the two bus network is used to analytically characterise maximum power transfer limits of distribution networks, when subject to both thermal and voltage constraints. Traditional analytic methods…

Optimization and Control · Mathematics 2017-10-24 Matthew Deakin , Thomas Morstyn , Dimitra Apostolopoulou , Malcolm McCulloch

Maximum throughput requires path diversity enabled by bifurcating traffic at different network nodes. In this work, we consider a network where traffic bifurcation is allowed only at a subset of nodes called \emph{routers}, while the rest…

Networking and Internet Architecture · Computer Science 2014-09-08 Georgios Paschos , Eytan Modiano

Our goal is to develop a flux limiter of the Flux-Corrected Transport method for a nonconservative convection-diffusion equation. For this, we consider a hybrid difference scheme that is a linear combination of a monotone scheme and a…

Numerical Analysis · Mathematics 2023-06-06 Sergii Kivva

An increasing amount of gas-fired power plants are currently being installed in modern power grids worldwide. This is due to their low cost and the inherent flexibility offered to the electrical network, particularly in the face of…

Computational Engineering, Finance, and Science · Computer Science 2018-04-26 Conor O'Malley , Drosos Kourounis , Gabriela Hug , Olaf Schenk

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

Machine Learning · Computer Science 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

The bottleneck network flow problem (BNFP) is a generalization of several well-studied bottleneck problems such as the bottleneck transportation problem (BTP), bottleneck assignment problem (BAP), bottleneck path problem (BPP), and so on.…

Data Structures and Algorithms · Computer Science 2007-12-27 Abraham P. Punnen , Ruonan Zhang
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