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The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semi-annealed approximation to study the stability properties of Random Boolean Networks…

Physics and Society · Physics 2012-10-31 Emanuele Cozzo , Alex Arenas , Yamir Moreno

In this paper, we study cascading failures in power grids through the lens of information diffusion models. Similar to the spread of rumors or influence in an online social network, it has been observed that failures (outages) in a power…

Social and Information Networks · Computer Science 2024-06-14 Bin Xiang , Bogdan Cautis , Xiaokui Xiao , Olga Mula , Dusit Niyato , Laks V. S. Lakshmanan

In case of high impact low probability events, in order to restore the critical loads of the distribution network as much as possible, it is necessary to employ all available resources such as microgrids and distributed generations. This…

Systems and Control · Electrical Eng. & Systems 2021-07-15 Ali Shakeri Kahnamouei , Saeed Lotfifard

We propose a dynamical model for cascading failures in single-commodity network flows. In the proposed model, the network state consists of flows and activation status of the links. Network dynamics is determined by a, possibly…

Systems and Control · Computer Science 2014-07-15 Ketan Savla , Giacomo Como , Munther A. Dahleh

In application of the Balancing Domain Decomposition by Constraints (BDDC) to a case with many substructures, solving the coarse problem exactly becomes the bottleneck which spoils scalability of the solver. However, it is straightforward…

Numerical Analysis · Mathematics 2013-01-29 Jakub Šístek , Jan Mandel , Bedřich Sousedík , Pavel Burda

The interaction between extreme weather events and interdependent critical infrastructure systems involves complex spatiotemporal dynamics. Multi-type emergency decisions within energy-transportation infrastructures significantly influence…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Jiawei Wang , Qinglai Guo , Haotian Zhao , Bin Wang , Hongbin Sun

We present an open-source Python framework for modelling cascading physical climate risk in a spatial supply-chain economy. The framework integrates geospatial flood hazards with an agent-based model of firms and households, enabling…

Artificial Intelligence · Computer Science 2026-04-08 Yara Mohajerani

In networks, there are often more than one source of capacity. The capacities can be permanently or temporarily owned by the decision maker. Depending on the nature of sources, we identify the permanent capacity, spot market capacity and…

Optimization and Control · Mathematics 2017-02-10 Majid Taghavi , Kai Huang

The analysis of system reliability has often benefited from graphical tools such as fault trees and Bayesian networks. In this article, instead of conventional graphical tools, we apply a probabilistic graphical model called the chain event…

Methodology · Statistics 2024-04-25 Xuewen Yu , Jim Q. Smith

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

Physics and Society · Physics 2015-07-10 Filippo Radicchi

Resilience has emerged as a crucial concept for evaluating structural performance under disasters because of its ability to extend beyond traditional risk assessments, accounting for a system's ability to minimize disruptions and maintain…

Applications · Statistics 2024-04-23 Taeyong Kim , Sang-ri Yi

Real-world network systems, for example, power grids, are critical to modern economies. Due to the increasing system scale and complex dependencies inside of these networks, system failures can widely spread and cause severe damage. We have…

Physics and Society · Physics 2019-12-09 Jian Zhou , Stamatis Tsianikas , David W. Coit , Frank A. Felder

Many complex systems demand manifold resources to be supplied from distinct channels to function properly, i.e, water, gas, and electricity for a city. Here, we study a model for viability of such systems demanding more than one type of…

Physics and Society · Physics 2014-05-02 Byungjoon Min , K. -I. Goh

Cascading failure models are typically used to capture the phenomenon where failures possibly trigger further failures in succession, causing knock-on effects. In many networks this ultimately leads to a disintegrated network where the…

Physics and Society · Physics 2017-11-15 Fiona Sloothaak , Sem C. Borst , Bert Zwart

We propose a novel capacity model for complex networks against cascading failure. In this model, vertices with both higher loads and larger degrees should be paid more extra capacities, i.e. the allocation of extra capacity on vertex $i$…

Physics and Society · Physics 2008-04-03 Ping Li , Bing-Hong Wang , Han Sun , Pan Gao , Tao Zhou

Critical infrastructure networks--including transportation, power grids, and communication systems--exhibit complex interdependencies that can lead to cascading failures with catastrophic consequences. These disasters often originate from…

Physics and Society · Physics 2025-06-23 Mary Lai O. Salvaña , Harold Jay M. Bolingot , Gregory L. Tangonan

Pipeline bursting, production lines shut down, frenzy traffic, trains confrontation, nuclear reactor shut down, disrupted electric supply, interrupted oxygen supply in ICU - these catastrophic events could result because of an erroneous…

Cryptography and Security · Computer Science 2020-01-10 Geeta Yadav , Kolin Paul

After a short report of results on infinite servers queues systems, focusing on its busy period, using networks of queues with infinite servers nodes a model is constructed to study a two echelons repair system. These repair systems may be…

Probability · Mathematics 2021-10-06 Manuel Alberto M. Ferreira

An approach is proposed to identify optimal asset protection strategies based on vulnerability assessment outcomes. Traditional bilevel attacker-defender models emphasize worst-case scenarios but offer limited defensive guidance. In…

Optimization and Control · Mathematics 2026-01-19 Eric Tönges , Martin Braun , Philipp Härtel

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

Physics and Society · Physics 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski
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