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We investigate the failure mechanisms of load sharing complex systems. The system is composed of multiple nodes or components whose failures are determined based on the interaction of their respective strengths and loads (or capacity and…

Adaptation and Self-Organizing Systems · Physics 2014-02-03 Shahnewaz Siddique , Vitali Volovoi

Scenario-based optimization problems can be solved via Benders decomposition, which separates first-stage (master problem) decisions from second-stage (subproblem) recourse actions and iteratively refines the master problem with Benders…

Optimization and Control · Mathematics 2026-04-13 Tim Donkiewicz

We introduce a novel framework for computing optimal randomized security policies in networked domains which extends previous approaches in several ways. First, we extend previous linear programming techniques for Stackelberg security games…

Computer Science and Game Theory · Computer Science 2012-10-19 Joshua Letchford , Yevgeniy Vorobeychik

Emerging cyber-physical systems incorporate systems of systems that have functional interdependencies. With the increase in complexity of the cyber-physical systems, the attack surface also expands, making cyber-physical systems more…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Yahya Javed , Muhamad Felemban , Tawfeeq Shawly , Jason Kobes , Arif Ghafoor

The maintenance of system flow is critical for effective network operation. Any type of disruption to network facilities (arcs/nodes) potentially risks loss of service, leaving users without access to important resources. It is therefore an…

Data Analysis, Statistics and Probability · Physics 2010-06-29 Timothy C. Matisziw , Alan T. Murray

Optimizing embedded systems, where the optimization of one depends on the state of another, is a formidable computational and algorithmic challenge, that is ubiquitous in real world systems. We study flow networks, where bilevel…

Optimization and Control · Mathematics 2022-11-09 Bo Li , David Saad , Chi Ho Yeung

Global catastrophic risk events, such as nuclear war, pose a severe threat to the stability of international financial systems. As evidenced by even less severe scenarios like the Great Recession, an economic failure can propagate through…

Physics and Society · Physics 2025-02-19 Łukasz G. Gajewski , Michael Hinge , David Denkenberger

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

Due to the growing complexity of modern data centers, failures are not uncommon any more. Therefore, fault tolerance mechanisms play a vital role in fulfilling the availability requirements. Multiple availability models have been proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-26 Otto Bibartiu , Frank Dürr , Kurt Rothermel , Beate Ottenwälder , Andreas Grau

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

A common definition of a robust connection between two nodes in a network such as a communication network is that there should be at least two independent paths connecting them, so that the failure of no single node in the network causes…

Statistical Mechanics · Physics 2008-04-07 M. E. J. Newman , Gourab Ghoshal

Operation of critical infrastructures are highly interdependent on each other. Such dependencies causes failure in these infrastructures to cascade on an initial failure event. Owing to this vulnerability it is imperative to incorporate…

Networking and Internet Architecture · Computer Science 2017-03-21 Joydeep Banerjee , Arunabha Sen , Chenyang Zho

Ensuring robustness and resilience in intermodal transportation systems is essential for the continuity and reliability of global logistics. These systems are vulnerable to various disruptions, including natural disasters and technical…

We introduce a general framework for models of cascade and contagion processes on networks, to identify their commonalities and differences. In particular, models of social and financial cascades, as well as the fiber bundle model, the…

Risk Management · Quantitative Finance 2015-05-13 Jan Lorenz , Stefano Battiston , Frank Schweitzer

Facing climate change, the already limited availability of drinking water will decrease in the future rendering drinking water an increasingly scarce resource. Considerable amounts of it are lost through leakages in water transportation and…

Machine Learning · Computer Science 2024-02-08 Valerie Vaquet , Fabian Hinder , Jonas Vaquet , Kathrin Lammers , Lars Quakernack , Barbara Hammer

The operation of future intelligent transportation systems (ITSs), communications infrastructure (CI), and power grids (PGs) will be highly interdependent. In particular, autonomous connected vehicles require CI resources to operate, and,…

Computer Science and Game Theory · Computer Science 2020-07-14 Aidin Ferdowsi , Abdelrahman Eldosouky , Walid Saad

Existing models for the analysis of concurrent processes tend to focus on fail-stop failures, where processes are either working or permanently stopped, and their state (working/stopped) is known. In fact, systems are often affected by grey…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Laura Bocchi , Julien Lange , Simon Thompson , A. Laura Voinea

Many real world complex systems such as infrastructure, communication and transportation networks are embedded in space, where entities of one system may depend on entities of other systems. These systems are subject to geographically…

Physics and Society · Physics 2015-03-13 Yehiel Berezin , Amir Bashan , Michael M. Danziger , Daqing Li , Shlomo Havlin

We consider a model of two interdependent networks, where every node in one network depends on one or more supply nodes in the other network and a node fails if it loses all of its supply nodes. We develop algorithms to compute the failure…

Data Structures and Algorithms · Computer Science 2021-11-29 Jianan Zhang , Eytan Modiano

Network infrastructures are essential for the distribution of resources such as electricity and water. Typical strategies to assess their resilience focus on the impact of a sequence of random or targeted failures of network nodes or links.…

Physics and Society · Physics 2014-11-04 D. V. Stäger , N. A. M. Araújo , H. J. Herrmann