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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

The recent advancement in real-world critical infrastructure networks has led to an exponential growth in the use of automated devices which in turn has created new security challenges. In this paper, we study the robust and adaptive…

Computer Science and Game Theory · Computer Science 2020-11-10 Supriyo Ghosh , Patrick Jaillet

Robust network flows are a concept for dealing with uncertainty and unforeseen failures in the network infrastructure. They and their dual counterpart, network flow interdiction, have received steady attention within the operations research…

Discrete Mathematics · Computer Science 2017-08-11 Yann Disser , Jannik Matuschke

Traditional network interdiction refers to the problem of an interdictor trying to reduce the throughput of network users by removing network edges. In this paper, we propose a new paradigm for network interdiction that models scenarios,…

Networking and Internet Architecture · Computer Science 2019-01-10 Xinzhe Fu , Eytan Modiano

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

We develop efficient algorithms for a fundamental network design problem arising in potential-based flow models, which are central to many energy transport networks (e.g., hydrogen and electricity). In contrast to classical network flow…

Discrete Mathematics · Computer Science 2026-04-30 Max Klimm , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

This paper studies the vulnerability of flow networks against adversarial attacks. In particular, consider a power system (or, any system carrying a physical flow) consisting of $N$ transmission lines with initial loads $L_1, \ldots , L_N$…

Physics and Society · Physics 2018-04-05 Talha Cihad Gulcu , Vaggos Chatziafratis , Yingrui Zhang , Osman Yagan

We consider the robust version of a multi-commodity network flow problem. The robustness is defined with respect to the deletion, or failure, of edges. While the flow problem itself is a polynomially-sized linear program, its robust version…

Optimization and Control · Mathematics 2025-04-25 Artyom Klyuchikov , Roland Hildebrand , Sergei Protasov , Alexander Rogozin , Alexei Chernov

We study network design problems for nonlinear and nonconvex flow models without controllable elements under load scenario uncertainties, i.e., under uncertain injections and withdrawals. To this end, we apply the concept of adjustable…

Optimization and Control · Mathematics 2025-01-20 Johannes Thürauf , Julia Grübel , Martin Schmidt

We study the following fundamental network optimization problem known as Maximum Robust Flow (MRF): A planner determines a flow on $s$-$t$-paths in a given capacitated network. Then, an adversary removes $k$ arcs from the network,…

Discrete Mathematics · Computer Science 2025-11-11 Jannik Matuschke

Motivated by reliability of networks in critical infrastructures, we consider optimal robustness of a class of flow networks against a \textit{targeted} attack, namely max-load targeted attack, that triggers cascading failures due to…

Physics and Society · Physics 2019-03-28 Omur Ozel , Bruno Sinopoli , Osman Yagan

We study dynamic network flows with uncertain input data under a robust optimization perspective. In the dynamic maximum flow problem, the goal is to maximize the flow reaching the sink within a given time horizon $T$, while flow requires a…

Discrete Mathematics · Computer Science 2018-05-07 Corinna Gottschalk , Arie M. C. A. Koster , Frauke Liers , Britta Peis , Daniel Schmand , Andreas Wierz

We study the robust maximum flow problem and the robust maximum flow over time problem where a given number of arcs $\Gamma$ may fail or may be delayed. Two prominent models have been introduced for these problems: either one assigns flow…

Optimization and Control · Mathematics 2022-02-23 Christian Biefel , Martina Kuchlbauer , Frauke Liers , Lisa Waldmüller

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

Adaptive robust optimization problems have received significant attention in recent years, but remain notoriously difficult to solve when recourse decisions are discrete in nature. In this paper, we propose new reformulation techniques for…

Optimization and Control · Mathematics 2024-03-29 Merve Bodur , Timothy C. Y. Chan , Ian Yihang Zhu

Recent work demonstrated the lack of robustness of optical flow networks to physical patch-based adversarial attacks. The possibility to physically attack a basic component of automotive systems is a reason for serious concerns. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Simon Schrodi , Tonmoy Saikia , Thomas Brox

Resilience has become a key aspect in the design of contemporary infrastructure networks. This comes as a result of ever-increasing loads, limited physical capacity, and fast-growing levels of interconnectedness and complexity due to the…

Systems and Control · Computer Science 2019-01-29 Giacomo Como

We consider the line planning problem in public transportation, under a robustness perspective. We present a mechanism for robust line planning in the case of multiple line pools, when the line operators have a different utility function…

Computer Science and Game Theory · Computer Science 2015-05-27 Apostolos Bessas , Spyros Kontogiannis , Christos Zaroliagis

Generative Adversarial Networks have been shown to be powerful in generating content. To this end, they have been studied intensively in the last few years. Nonetheless, training these networks requires solving a saddle point problem that…

Machine Learning · Computer Science 2019-10-09 Jingrong Lin , Keegan Lensink , Eldad Haber

We study the robustness of flow networks against cascading failures under a partial load redistribution model. In particular, we consider a flow network of $N$ lines with initial loads $L_1, \ldots, L_N$ and free-spaces (i.e., redundant…

Physics and Society · Physics 2018-10-17 Omur Ozel , Bruno Sinopoli , Osman Yagan
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