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Time-based dynamic models of cascading failures have been recognized as one of the most comprehensive methods of representing detailed cascading information and are often used for benchmarking and validation. This paper provides an overview…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Yitian Dai , Robin Preece , Mathaios Panteli

Reliable functioning of infrastructure networks is essential for our modern society. Cascading failures are the cause of most large-scale network outages. Although cascading failures often exhibit dynamical transients, the modeling of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Benjamin Schäfer , Dirk Witthaut , Marc Timme , Vito Latora

With the sharp increase of power demand, large-scale blackouts in power grids occur frequently around the world. Cascading failures are the main causes of network outages. Therefore, revealing the complicated cascade mechanism in grids is…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Yubo Huang , Junguo Lu , Weidong Zhang

We formulate and analyze a stochastic threshold group testing problem motivated by biological applications. Here a set of $n$ items contains a subset of $d \ll n$ defective items. Subsets (pools) of the $n$ items are tested -- the test…

Information Theory · Computer Science 2013-04-25 Chun Lam Chan , Sheng Cai , Mayank Bakshi , Sidharth Jaggi , Venkatesh Saligrama

The original problem of group testing consists in the identification of defective items in a collection, by applying tests on groups of items that detect the presence of at least one defective item in the group. The aim is then to identify…

Applications · Statistics 2021-06-10 Emilien Joly , Bastien Mallein

We consider power line outages in the transmission system of the power grid, and specifically those caused by a natural disaster or a large scale physical attack. In the transmission system, an outage of a line may lead to overload on other…

Systems and Control · Computer Science 2012-06-07 Andrey Bernstein , Daniel Bienstock , David Hay , Meric Uzunoglu , Gil Zussman

In probabilistic nonadaptive group testing (PGT), we aim to characterize the number of pooled tests necessary to identify a random $k$-sparse vector of defectives with high probability. Recent work has shown that $n$ tests are necessary…

Information Theory · Computer Science 2021-06-15 Larkin Flodin , Arya Mazumdar

Grid computing is a computation methodology using group of clusters connected over high-speed networks that involves coordinating and sharing computational power, data storage and network resources. Integrating a set of clusters of…

Operating Systems · Computer Science 2012-07-09 P. Radha Krishna Reddy , Ashim Roy , G. Sireesha , Ismatha Begum , S. Siva Ramaiah

In group testing, the goal is to identify a subset of defective items within a larger set of items based on tests whose outcomes indicate whether at least one defective item is present. This problem is relevant in areas such as medical…

Information Theory · Computer Science 2022-10-24 Eric Price , Jonathan Scarlett , Nelvin Tan

In group testing, the task is to identify defective items by testing groups of them together using as few tests as possible. We consider the setting where each item is defective with a constant probability $\alpha$, independent of all other…

Discrete Mathematics · Computer Science 2024-11-15 Lukas Hintze , Lena Krieg , Olga Scheftelowitsch , Haodong Zhu

In this paper, a new cooperation structure for spectrum sensing in cognitive radio networks is proposed which outperforms the existing commonly-used ones in terms of energy efficiency. The efficiency is achieved in the proposed design by…

Information Theory · Computer Science 2015-09-11 Younes Abdi , Tapani Ristaniemi

In network tomography, one goal is to identify a small set of failed links in a network, by sending a few packets through the network and seeing which reach their destination. This problem can be seen as a variant of combinatorial group…

Information Theory · Computer Science 2018-09-12 Bruce Spang , Mary Wootters

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper aims to…

Systems and Control · Computer Science 2019-04-17 Chao Zhai , Gaoxi Xiao , Hehong Zhang , Tso-Chien Pan

The group testing problem consists of determining a sparse subset of defective items from within a larger set of items via a series of tests, where each test outcome indicates whether at least one defective item is included in the test. We…

Information Theory · Computer Science 2026-04-24 Daniel McMorrow , Jonathan Scarlett

Cascading failures are one of the main reasons for blackouts in power transmission grids. The topology of a power grid, together with its operative state determine, for the most part, the robustness of the power grid against cascading…

Physics and Society · Physics 2015-06-18 Yakup Koç , Martijn Warnier , Piet Van Mieghem , Robert E. Kooij , Frances M. T. Brazier

Knowledge of power grid's topology during cascading failure is an essential element of centralized blackout prevention control, given that multiple islands are typically formed, as a cascade progresses. Moreover, academic research on…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Sai Gopal Vennelaganti , Nilanjan Ray Chaudhuri , Ting He , Thomas La Porta

The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system's resilience against cascading failures, we devise a…

Physics and Society · Physics 2024-08-05 Lei Chen , Chunxiao Jia , Run-Ran Liu , Fanyuan Meng

Among the challenges that the COVID-19 pandemic outbreak revealed is the problem to reduce the number of tests required for identifying the virus carriers in order to contain the viral spread while preserving the tests reliability. To cope…

Information Theory · Computer Science 2021-12-24 Catherine A. Haddad-Zaaknoon

This paper proposes a data-driven graphical framework for the real-time search of risky cascading fault chains (FCs). While identifying risky FCs is pivotal to alleviating cascading failures, the complex spatio-temporal dependencies among…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Anmol Dwivedi , Ali Tajer

We study Probabilistic Group Testing of a set of N items each of which is defective with probability p. We focus on the double limit of small defect probability, p<<1, and large number of variables, N>>1, taking either p->0 after…

Data Structures and Algorithms · Computer Science 2007-11-14 Marc Mezard , Cristina Toninelli