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To ensure safe, reliable operation of the electrical grid, we must be able to predict and mitigate likely failures. This need motivates the classic security-constrained AC optimal power flow (SCOPF) problem. SCOPF is commonly solved using…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Charles Dawson , Chuchu Fan

In this paper, we study the virtual network function (VNF) placement problem in mobile edge computing (MEC)-enabled 5G networks to meet the stringent reliability and latency requirements of uRLLC applications. We pose it as a constrained…

Networking and Internet Architecture · Computer Science 2025-08-21 Aqsa Sayeed , Samaresh Bera

Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

Addressing challenges in urban water infrastructure systems including aging infrastructure, supply uncertainty, extreme events, and security threats, depend highly on water distribution networks modeling emphasizing the importance of…

Optimization and Control · Mathematics 2020-05-20 Shen Wang , Ahmad F. Taha , Lina Sela , Marcio Giacomoni , Nikolaos Gatsis

The maximum achievable capacity from source to destination in a network is limited by the min-cut max-flow bound; this serves as a converse limit. In practice, link capacities often fluctuate due to dynamic network conditions. In this work,…

Information Theory · Computer Science 2025-07-22 Rivka Gitik , Alejandro Cohen

Advanced channel reservation is emerging as an important feature of ultra high-speed networks requiring the transfer of large files. Applications include scientific data transfers and database backup. In this paper, we present two new,…

Networking and Internet Architecture · Computer Science 2007-11-05 Reuven Cohen , Niloofar Fazlollahi , David Starobinski

This paper considers a multiple input multiple output (MIMO) two-way relay channel, where two nodes want to exchange data with each other using multiple relays. An iterative algorithm is proposed to achieve the optimal achievable rate…

Information Theory · Computer Science 2008-10-22 Rahul Vaze , Robert W. Heath

This paper researches combinatorial algorithms for the multi-commodity flow problem. We relax the capacity constraints and introduce a penalty function $h$ for each arc. If the flow exceeds the capacity on arc $a$, arc $a$ would have a…

Optimization and Control · Mathematics 2020-10-08 Pengfei Liu

Multi-agent pathfinding (MAPF) is the problem of finding a set of conflict-free paths for a set of agents. Typically, the agents' moves are limited to a pre-defined graph of possible locations and allowed transitions between them, e.g. a…

Artificial Intelligence · Computer Science 2024-09-02 Konstantin Yakovlev , Anton Andreychuk , Roni Stern

Network flow problems, which involve distributing traffic such that the underlying infrastructure is used effectively, are ubiquitous in transportation and logistics. Among them, the general Multi-Commodity Network Flow (MCNF) problem…

Machine Learning · Computer Science 2024-03-19 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Network Function Virtualization (NFV) has the potential to significantly reduce the capital and operating expenses, shorten product release cycle, and improve service agility. In this paper, we focus on minimizing the total number of…

Networking and Internet Architecture · Computer Science 2017-02-07 Yu Sang , Bo Ji , Gagan R. Gupta , Xiaojiang Du , Lin Ye

We provide an algorithm which, with high probability, maintains a $(1-\epsilon)$-approximate maximum flow on an undirected graph undergoing $m$-edge additions in amortized $m^{o(1)} \epsilon^{-3}$ time per update. To obtain this result, we…

Data Structures and Algorithms · Computer Science 2023-11-07 Jan van den Brand , Li Chen , Rasmus Kyng , Yang P. Liu , Richard Peng , Maximilian Probst Gutenberg , Sushant Sachdeva , Aaron Sidford

We study a problem of fundamental importance to ICNs, namely, minimizing routing costs by jointly optimizing caching and routing decisions over an arbitrary network topology. We consider both source routing and hop-by-hop routing settings.…

Networking and Internet Architecture · Computer Science 2017-08-22 Stratis Ioannidis , Edmund Yeh

We study a delay-sensitive information flow problem where a source streams information to a sink over a directed graph G(V,E) at a fixed rate R possibly using multiple paths to minimize the maximum end-to-end delay, denoted as the…

Data Structures and Algorithms · Computer Science 2018-06-27 Qingyu Liu , Lei Deng , Haibo Zeng , Minghua Chen

This paper develops a computationally efficient algorithm which speeds up the probabilistic power flow (PPF) problem by exploiting the inherently low-rank nature of the voltage profile in electrical power distribution networks. The…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Samuel Chevalier , Luca Schenato , Luca Daniel

When planning transportation whose operation requires non-consumable resources, the peak demand for allocated resources is often of higher interest than the duration of resource usage. For instance, it is more cost-effective to deliver…

Data Structures and Algorithms · Computer Science 2025-07-16 Mariia Anapolska , Emma Ahrens , Christina Büsing , Felix Engelhardt , Timo Gersing , Corinna Mathwieser , Sabrian Schmitz , Sophia Wrede

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Multiphase flow is a critical process in a wide range of applications, including oil and gas recovery, carbon sequestration, and contaminant remediation. Numerical simulation of multiphase flow requires solving of a large, sparse linear…

Numerical Analysis · Mathematics 2018-03-14 Quan M. Bui , Lu Wang , Daniel Osei-Kuffuor

The terminal backup problems (Anshelevich and Karagiozova (2011)) form a class of network design problems: Given an undirected graph with a requirement on terminals, the goal is to find a minimum cost subgraph satisfying the connectivity…

Data Structures and Algorithms · Computer Science 2020-08-25 Hiroshi Hirai , Motoki Ikeda

In this paper we study flow problems on temporal networks, where edge capacities and travel times change over time. We consider a network with $n$ nodes and $m$ edges where the capacity and length of each edge is a piecewise constant…

Data Structures and Algorithms · Computer Science 2025-02-20 Kristin Sheridan , Shuchi Chawla
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