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Accurate predictions of when a component will fail are crucial when planning maintenance, and by modeling the distribution of these failure times, survival models have shown to be particularly useful in this context. The presented…

Machine Learning · Computer Science 2024-03-28 Olov Holmer , Mattias Krysander , Erik Frisk

Model-based safety analysis approaches aim at finding critical failure combinations by analysis of models of the whole system (i.e. software, hardware, failure modes and environment). The advantage of these methods compared to traditional…

Logic in Computer Science · Computer Science 2010-06-29 Matthias Güdemann , Frank Ortmeier

Software reliability models are an important tool in quality management and release planning. There is a large number of different models that often exhibit strengths in different areas. This paper proposes a model that is based on a…

Software Engineering · Computer Science 2016-12-13 Stefan Wagner , Helmut Fischer

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

Methodology · Statistics 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

An imprecise Bayesian nonparametric approach to system reliability with multiple types of components is developed. This allows modelling partial or imperfect prior knowledge on component failure distributions in a flexible way through…

Methodology · Statistics 2016-09-19 Gero Walter , Louis J. M. Aslett , Frank P. A. Coolen

In this paper, we first propose a new extended mixture model of residual lifetime distributions. We show that this model is suitable in modeling residual lifetime in some practical situations. Several closure properties of some well-known…

Methodology · Statistics 2014-12-31 M. Kayid , S. Izadkhah

Emergent design failures are ubiquitous in complex systems, and often arise when system elements cluster. Approaches to systematically reduce clustering could improve a design's resilience, but reducing clustering is difficult if it is…

Physics and Society · Physics 2023-08-22 Pheerawich Chitnelawong , Andrei A. Klishin , Norman MacKay , David J. Singer , Greg van Anders

We consider a model of contagion in financial networks recently introduced in the literature, and we characterize the effect of a few features empirically observed in real networks on the stability of the system. Notably, we consider the…

General Finance · Quantitative Finance 2011-09-07 Fabio Caccioli , Thomas A. Catanach , J. Doyne Farmer

This work considers stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is…

Statistics Theory · Mathematics 2021-12-17 Arindam Panja , Pradip Kundu , Biswabrata Pradhan

We propose a generalized extreme shock model with a possibly increasing failure threshold. While standard models assume that the crucial threshold for the system may only decrease over time, because of weakening shocks and obsolescence, we…

Statistics Theory · Mathematics 2010-10-21 Pasquale Cirillo , Jürg Hüsler

We propose new concepts in order to analyze and model the dependence structure between two time series. Our methods rely exclusively on the order structure of the data points. Hence, the methods are stable under monotone transformations of…

Statistics Theory · Mathematics 2015-02-02 Alexander Schnurr , Herold Dehling

Physical infrastructure systems supply crucial resources to residential, commercial, and industrial activities. These infrastructure systems generally consist of multiple types of infrastructure assets that are interdependent. In the event…

Optimization and Control · Mathematics 2024-07-25 Yijiang Li , Kibaek Kim , Sven Leyffer , Matt Menickelly , Lawrence Paul Lewis , Joshua Bergerson

An optimization model has been formulated and solved to determine on-condition failure thresholds and inspection intervals for multi-component systems with each component experiencing multiple failure processes due to simultaneous exposure…

Optimization and Control · Mathematics 2019-12-20 Sanling Song , Nooshin Yousefi , David W. Coit , Qianmei Feng

Component-based systems evolve as a new component is added or an existing one is replaced by a newer version. Hence, it is appealing to assure the new system still preserves its safety properties. However, instead of inspecting the new…

Formal Languages and Automata Theory · Computer Science 2017-09-14 Rosa Abbasi , Fatemeh Ghassemi , Ramtin Khosravi

The nature of information security has been, and probably will continue to be, marked by the asymmetric competition of attackers and defenders over the control of an uncertain environment. The reduction of this degree of uncertainty via an…

Software Engineering · Computer Science 2024-07-11 Marius-Constantin Ilau , Tristan Caulfield , David Pym

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component structures like series, parallel, and k-out-of-n systems. A…

Statistics Theory · Mathematics 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra

Mechanical components that are exposed to cyclic mechanical loading fail at loads that are well below the ultimate tensile strength. This process is known as fatigue. The failure time, that is the time when a first crack forms, is highly…

Optimization and Control · Mathematics 2016-02-29 L. Bittner , H. Gottschalk , M. Gröger , N. Moch , M. Saadi , S. Schmitz

This paper investigates dual sourcing problems with supply mode dependent failure rates, particularly relevant in managing spare parts for downtime-critical assets. To enhance resilience, businesses increasingly adopt dual sourcing…

Machine Learning · Computer Science 2025-04-14 Fabian Akkerman , Nils Knofius , Matthieu van der Heijden , Martijn Mes

Large-scale computing systems today are assembled by numerous computing units for massive computational capability needed to solve problems at scale, which enables failures common events in supercomputing scenarios. Considering the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-07 Li Tan , Nathan DeBardeleben

Achieving safety is a critical aspect of attaining autonomy in a platoon of autonomous vehicles. In this paper, we propose a distributionally robust risk framework to investigate cascading failures in platoons. To examine the impact of…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Vivek Pandey , Guangyi Liu , Arash Amini , Nader Motee