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Inspired by Shapiro et al.~\cite{shapiro2023episodic}, we consider a stochastic optimal control (SOC) and Markov decision process (MDP) where the risks arising from epistemic and aleatoric uncertainties are assessed using Bayesian composite…

Optimization and Control · Mathematics 2025-09-01 Wentao Ma , Zhiping Chen , Huifu Xu

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

By building on a recently introduced genetic-inspired attribute-based conceptual framework for safety risk analysis, we propose a novel methodology to compute construction univariate and bivariate construction safety risk at a situational…

Applications · Statistics 2016-09-27 Antoine J. -P. Tixier , Matthew R. Hallowell , Balaji Rajagopalan

Understanding and predicting the duration or "return-to-normal" time of traffic incidents is important for system-level management and optimisation of road transportation networks. Increasing real-time availability of multiple data sources…

Applications · Statistics 2021-02-18 Kieran Kalair , Colm Connaughton

We formulate a probabilistic Markov property in discrete time under a dynamic risk framework with minimal assumptions. This is useful for recursive solutions to risk-sensitive versions of dynamic optimisation problems such as optimal…

Optimization and Control · Mathematics 2022-09-05 Tomasz Kosmala , Randall Martyr , John Moriarty

A seismic fragility curve expresses the probability of failure of a structure conditional to an intensity measure (IM) derived from seismic signals. When only limited data is available, the practitioner often refers to the probit-lognormal…

Applications · Statistics 2025-12-17 Antoine Van Biesbroeck , Clément Gauchy , Cyril Feau , Josselin Garnier

To date, the prospect of using real-time hybrid simulation (RTHS) to study the effects of long-term or 'wear-and-tear' loads, such as exposure to harmful environmental conditions or fatigue, has remained underexplored. This study presents a…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Manuel Salmeron , Herta Montoya , Edwin Patino , Ingrid E. Madera Sierra , Shirley J. Dyke

A geometric model of a physical network affected by a disaster is proposed and analyzed using integral geometry (geometric probability). This analysis provides a theoretical method of evaluating performance metrics, such as the probability…

Networking and Internet Architecture · Computer Science 2013-12-30 Hiroshi Saito

The increasing reliance on cyber physical infrastructure in modern power systems has amplified the risk of targeted cyber attacks, necessitating robust and adaptive resilience strategies. This paper presents a mathematically rigorous game…

Systems and Control · Electrical Eng. & Systems 2025-09-11 S Krishna Niketh , Sagar Babu Mitikiri , V Vignesh , Vedantham Lakshmi Srinivas , Mayukha Pal

The State of Tripura lies in northeast India which is considered to be one of the most seismically active regions of the world. In the present study, a realistic Probabilistic Seismic Hazard Assessment (PSHA) of Tripura State based on…

Geophysics · Physics 2022-12-23 Suman Sinha , S. Selvan

The hazard function is central to the formulation of commonly used survival regression models such as the proportional hazards and accelerated failure time models. However, these models rely on a shared baseline hazard, which, when…

Methodology · Statistics 2025-12-19 J. A. Christen , F. J. Rubio

Failures in complex systems often emerge through gradual degradation and the propagation of stress across interacting components rather than through isolated shocks. Democratic systems exhibit similar dynamics, where weakening institutions…

Machine Learning · Computer Science 2026-05-18 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

This chapter addresses the increasing vulnerability of coastal regions to typhoons and the consequent power outages, emphasizing the critical role of power transmission systems in disaster resilience. It introduces a framework for assessing…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Yang Li

One of the most important tasks of urban and hazard planning is to mitigate the damages and minimize the costs of the recovery process after catastrophic events. The rapidity and the efficiency of the recovery process are commonly referred…

Physics and Society · Physics 2013-08-02 D. Asprone , M. Cavallaro , V. Latora , G. Manfredi , V. Nicosia

Various simulation-based and analytical methods have been developed to evaluate the seismic fragilities of individual structures. However, a community's seismic safety and resilience are substantially affected by network reliability,…

Applications · Statistics 2025-04-22 Dongkyu Lee , Ziqi Wang , Junho Song

Resilience in cyber-physical systems of systems (CPSoS) is often assessed using static indices or point-in-time metrics that do not adequately account for the temporal evolution of risk following a disruption. This paper formalizes…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Elisabeth Vogel , Peter Langendörfer

Complex, interdependent systems are necessary to the delivery of goods and services critical to societal function. Here we demonstrate how interdependent systems respond to disruptions. Specifically, we change the spatial arrangement of a…

Physics and Society · Physics 2019-04-12 Benjamin Rachunok , Roshanak Nateghi

Dynamic control is emerging as an effective methodology for operating stormwater systems under stress from rapidly evolving weather patterns. Informed by rainfall predictions and real-time sensor measurements, control assets in the…

Machine Learning · Computer Science 2023-05-31 Abhiram Mullapudi , Branko Kerkez

This work establishes a crucial step toward advancing data-driven trajectory-based methods for stochastic systems with unknown mathematical dynamics. In contrast to scenario-based approaches that rely on independent and identically…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Abolfazl Lavaei

Engineered and infrastructure systems deteriorate (e.g., loss capacity) as a result of adverse environmental or external conditions. Modeling deterioration is essential to define optimum design strategies and inspection and maintenance…

Optimization and Control · Mathematics 2014-09-19 Mauricio Junca , Mauricio Sanchez-Silva