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Distributed energy resources offer a control-based option to improve distribution system reliability by ensuring system states that positively impact component failure rates. This option is an attractive complement to otherwise costly and…

Optimization and Control · Mathematics 2025-10-27 Gejia Zhang , Robert Mieth

The article is focused on studying how to predict the failure times of coherent systems from the early failure times of their components. Both the cases of independent and dependent components are considered by assuming that they are…

Applications · Statistics 2024-09-30 Jorge Navarro , Antonio Arriaza , Alfonso Suárez-Llorens

We investigate the global failure threshold of an interconnected set of elements, when a finite fraction of the elements initially share an externally applied load. The study is done under the framework of random fiber bundle model, where…

Statistical Mechanics · Physics 2018-07-09 Soumyajyoti Biswas , Parongama Sen

The memory consistency model is a fundamental system property characterizing a multiprocessor. The relative merits of strict versus relaxed memory models have been widely debated in terms of their impact on performance, hardware complexity…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-07 Alexander Jaffe , Thomas Moscibroda , Laura Effinger-Dean , Luis Ceze , Karin Strauss

In today's global economy, supply chain (SC) entities have become increasingly interconnected with demand and supply relationships due to the need for strategic outsourcing. Such interdependence among firms not only increases efficiency but…

Physics and Society · Physics 2020-11-16 Qihui Yang , Caterina Scoglio , Don Gruenbacher

We study stochastic ordering of system lifetimes with dependent and heterogeneous components whose marginal distributions are obtained through transformations of a common baseline. The dependence structure is modeled via Archimedean…

Probability · Mathematics 2026-04-30 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

This paper addresses the problem of adding redundancy to a collection of physical objects so that the overall system is more robust to failures. In contrast to its information counterpart, which can exploit parity to protect multiple…

Information Theory · Computer Science 2017-11-09 Jennifer Tang , Da Wang , Yury Polyanskiy , Gregory Wornell

As a model of composite material, the fiber bundle model has been chosen -where a bundle of fibers is subjected to external load and fibers have distributed thresholds. For different loading conditions, such a system shows few precursors…

Materials Science · Physics 2015-05-19 Srutarshi Pradhan

We propose a generic system model for a special category of interdependent networks, demand-supply networks, in which the demand and the supply nodes are associated with heterogeneous loads and resources, respectively. Our model sheds a…

Networking and Internet Architecture · Computer Science 2019-11-11 Seyyedali Hosseinalipour , Jiayu Mao , Do Young Eun , Huaiyu Dai

We study a cascading edge failure mechanism on a connected random graph with a prescribed degree sequence, sampled using the configuration model. This mechanism prescribes that every edge failure puts an additional strain on the remaining…

Probability · Mathematics 2023-07-18 Fiona Sloothaak , Lorenzo Federico

In this paper, we studied the stochastic ordering behavior of series as well as parallel systems' lifetimes comprising dependent and heterogeneous components, experiencing random shocks, and exhibiting distinct dependency structures. We…

Statistics Theory · Mathematics 2025-05-29 Sarikul Islam , Nitin Gupta

A system is considered, which is subject to external and possibly fatal shocks, with dependence between the fatality of a shock and the system age. Apart from these shocks, the system suffers from competing soft and sudden failures, where…

Probability · Mathematics 2014-09-03 Sophie Mercier , H. H. Pham

We consider a competing risks model, in which system failures are due to one out of two mutually exclusive causes, formulated within the framework of shock models driven by bivariate Poisson process. We obtain the failure densities and the…

Probability · Mathematics 2008-09-02 Antonio Di Crescenzo , Maria Longobardi

We study cascading failures in a system comprising interdependent networks/systems, in which nodes rely on other nodes both in the same system and in other systems to perform their function. The (inter-)dependence among nodes is modeled…

Applications · Statistics 2018-02-13 Richard J. La

We develop a systemic risk framework to explore cascading systemic failures in networked control systems. A time-delayed version of the vehicle platooning problem is used as a benchmark to study the interplay among network connectivity,…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Guangyi Liu , Christoforos Somarakis , Nader Motee

In this paper, we study a fault-tolerant control for systems consisting of multiple homogeneous components such as parallel processing machines. This type of system is often more robust to uncertainty compared to those with a single…

Optimization and Control · Mathematics 2020-12-03 Jalal Arabneydi , Amir G. Aghdam

Parameter sharing has proven to be a parameter-efficient approach. Previous work on Transformers has focused on sharing parameters in different layers, which can improve the performance of models with limited parameters by increasing model…

Machine Learning · Computer Science 2023-06-19 Ye Lin , Mingxuan Wang , Zhexi Zhang , Xiaohui Wang , Tong Xiao , Jingbo Zhu

Probabilistic model-based diagnosis computes the posterior probabilities of failure of components from the prior probabilities of component failure and observations of system behavior. One problem with this method is that such priors are…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas

We study failure rate monotonicity and generalized convex transform stochastic ordering properties of random variables, with a concern on applications. We are especially interested in the effect of a tail weight iteration procedure to…

Probability · Mathematics 2026-01-14 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

Identifying drawbacks or insufficiencies in terms of safety is important also in early development stages of safety critical systems. In industry, development artefacts such as components or units, are often reused from existing artefacts…

Software Engineering · Computer Science 2021-06-03 Kai Hoefig , Marc Zeller , Reiner Heilmann