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Power distribution systems (PDS) serve as the backbone of our modern society, ensuring electricity reaches homes, businesses, and critical infrastructure. However, the increasing digitization and interconnectivity of these systems have…

信号处理 · 电气工程与系统科学 2025-01-22 Mitikiri Sagar Babu , Victor Sam Moses Babu , Vedantham Lakshmi Srinivas , Pratyush Chakraborty , Mayukha Pal

The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors of systems. In particular, it provides an interesting…

概率论 · 数学 2011-07-08 Jean-Luc Marichal , Pierre Mathonet , Tamás Waldhauser

The aim of this study is to present an overview of current research on modelling, evaluation, and optimization methods for improving the reliability of Cyber-Physical System (CPS). Three major modelling approaches, namely analytical,…

系统与控制 · 电气工程与系统科学 2025-03-17 Moslem Uddin , Huadong Mo , Daoyi Dong

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

最优化与控制 · 数学 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative…

统计方法学 · 统计学 2025-01-15 Christian Acal , Juan Eloy Ruiz-Castro , David Maldonado , Juan B. Roldán

This paper presents a new methodology for structural reliability analysis via stochastic finite element method (SFEM). A novel sample-based SFEM is firstly used to compute structural stochastic responses of all spatial points at the same…

计算物理 · 物理学 2020-08-19 Zhibao Zheng

Cyber Physical Systems solve complex problems through their tight integration between the physical and computational components. Therefore, the reliability of a complex system is the most critical requirement for the cyber physical system…

软件工程 · 计算机科学 2020-10-13 Nazakat Ali , Manzoor Hussain , Youngjae Kim , Jang-Eui Hong

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

最优化与控制 · 数学 2020-12-08 Andrey Tremba

Semantic segmentation networks (SSNs) are central to safety-critical applications such as medical imaging and autonomous driving, where robustness under uncertainty is essential. However, existing probabilistic verification methods often…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Navid Hashemi , Samuel Sasaki , Diego Manzanas Lopez , Lars Lindemann , Ipek Oguz , Meiyi Ma , Taylor T. Johnson

Survival analysis is central to clinical research, informing patient prognoses, guiding treatment decisions, and optimising resource allocation. Accurate time-to-event predictions not only improve quality of life but also reveal risk…

This paper develops a Multiset Rewriting language with explicit time for the specification and analysis of Time-Sensitive Distributed Systems (TSDS). Goals are often specified using explicit time constraints. A good trace is an infinite…

计算复杂性 · 计算机科学 2021-09-16 Max Kanovich , Tajana Ban Kirigin , Vivek Nigam , Andre Scedrov , Carolyn Talcott

System reliability analysis aims at computing the probability of failure of an engineering system given a set of uncertain inputs and limit state functions. Active-learning solution schemes have been shown to be a viable tool but as of yet…

统计方法学 · 统计学 2024-05-10 Maliki Moustapha , Pietro Parisi , Stefano Marelli , Bruno Sudret

This work presents a novel surface decomposition method for the sensitivity analysis of first-passage dynamic reliability of linear systems subjected to Gaussian random excitations. The method decomposes the sensitivity of first-passage…

统计方法学 · 统计学 2026-03-09 Jianhua Xian , Sai Hung Cheung , Cheng Su

It is known that the Barlow-Proschan index of a system with i.i.d. component lifetimes coincides with the Shapley value, a concept introduced earlier in cooperative game theory. Due to a result by Owen, this index can be computed…

概率论 · 数学 2012-12-21 Jean-Luc Marichal , Pierre Mathonet

A semicoherent system can be described by its structure function or, equivalently, by a lattice polynomial function expressing the system lifetime in terms of the component lifetimes. In this paper we point out the parallelism between the…

概率论 · 数学 2008-09-09 Alexander Dukhovny , Jean-Luc Marichal

Maintainability analysis is a cornerstone of reliability engineering. While the Markov approach is the classical analytical foundation, its reliance on the exponential distribution for failure and repair times is a major and often…

应用统计 · 统计学 2026-02-10 Afshin Yaghoubi

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

统计计算 · 统计学 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

As machine learning (ML) systems increasingly permeate high-stakes settings such as healthcare, transportation, military, and national security, concerns regarding their reliability have emerged. Despite notable progress, the performance of…

机器学习 · 计算机科学 2023-08-01 Anthony Corso , David Karamadian , Romeo Valentin , Mary Cooper , Mykel J. Kochenderfer

In the complex multi-state system (MSS), reliability analysis is a significant research content, both for equipment design, manufacturing, usage and maintenance. Universal Generating Function (UGF) is an important method in the reliability…

系统与控制 · 电气工程与系统科学 2024-09-30 Xu Liu , Wen Yao , Xiaohu Zheng , Yingchun Xu

We consider systems whose lifetime is measured by the time of physical degradation of components, as well as the degree of power each component contributes to the system. The lifetimes of the components of the system are random variables.…

概率论 · 数学 2025-01-27 Ismihan Bayramoglu