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This paper proposes an analytical framework for modelling resource contention in multi-robot systems, where the travel times and task durations are uncertain. It uses several approximation methods to quickly and accurately calculate the…

Multiagent Systems · Computer Science 2020-03-17 Andrew W. Palmer , Andrew J. Hill , Steven J. Scheding

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

Digital twin technology has a huge potential for widespread applications in different industrial sectors such as infrastructure, aerospace, and automotive. However, practical adoptions of this technology have been slower, mainly due to a…

Machine Learning · Statistics 2020-06-16 Souvik Chakraborty , Sondipon Adhikari

We propose a \textit{guided multi-fidelity Bayesian optimization} framework for data-efficient controller tuning that integrates corrected digital twin simulations with real-world measurements. The method targets closed-loop systems with…

Robotics · Computer Science 2025-10-21 Mahdi Nobar , Jürg Keller , Alessandro Forino , John Lygeros , Alisa Rupenyan

This paper addresses a long-standing gap in natural hazard modeling by unifying physics-based fragility functions with real-time post-disaster observations. It introduces a Bayesian framework that continuously refines regional vulnerability…

Applications · Statistics 2026-01-21 Abdullah M. Braik , Maria Koliou

The introduction of assistive construction robots can significantly alleviate physical demands on construction workers while enhancing both the productivity and safety of construction projects. Leveraging a Building Information Model (BIM)…

Robotics · Computer Science 2024-06-11 Xi Wang , Hongrui Yu , Wes McGee , Carol C. Menassa , Vineet R. Kamat

Most classical scheduling formulations assume a fixed and known duration for each activity. In this paper, we weaken this assumption, requiring instead that each duration can be represented by an independent random variable with a known…

Artificial Intelligence · Computer Science 2011-10-13 J. C. Beck , N. Wilson

This work presents a probabilistic digital twin framework for response prediction in dynamical systems governed by misspecified physics. The approach integrates Gaussian Process Latent Force Models (GPLFM) and Bayesian Neural Networks…

Machine Learning · Computer Science 2025-12-01 Sahil Kashyap , Rajdip Nayek

It is proposed in the literature that in some complicated problems maximum likelihood estimates (MLE) are not suitable or even do not exist. An alternative to MLE for estimation of the parameters is the Bayesian method. The Markov chain…

Applications · Statistics 2019-10-08 Ali Reza Fotouhi

The reliable operation of modern power grids requires probabilistic load forecasts with well-calibrated uncertainty estimates. However, existing deep learning models produce overconfident point predictions that fail catastrophically under…

Machine Learning · Computer Science 2026-03-10 Sajib Debnath , Md. Uzzal Mia

Safety assurance is critical in the planning and control of robotic systems. For robots operating in the real world, the safety-critical design often needs to explicitly address uncertainties and the pre-computed guarantees often rely on…

Robotics · Computer Science 2024-07-09 Hao Zhou , Yanze Zhang , Wenhao Luo

Load forecasting is essential for the efficient, reliable, and cost-effective management of power systems. Load forecasting performance can be improved by learning the similarities among multiple entities (e.g., regions, buildings).…

Machine Learning · Statistics 2025-02-07 Onintze Zaballa , Verónica Álvarez , Santiago Mazuelas

This work proposes a mathematical framework to increase the robustness to rare events of digital twins modelled with graphical models. We incorporate probabilistic model-checking and linear programming into a dynamic Bayesian network to…

Numerical Analysis · Mathematics 2024-08-27 Marco Tezzele , Steven Carr , Ufuk Topcu , Karen E. Willcox

Quantifying uncertainty and updating reliability are essential for ensuring the safety and performance of engineering systems. This study develops a hierarchical Bayesian modeling (HBM) framework to quantify uncertainty and update…

Methodology · Statistics 2024-12-31 Xinyu Jia , Weinan Hou , Costas Papadimitriou

Uncertainty of decisions in safety-critical engineering applications can be estimated on the basis of the Bayesian Markov Chain Monte Carlo (MCMC) technique of averaging over decision models. The use of decision tree (DT) models assists…

Artificial Intelligence · Computer Science 2010-12-03 Vitaly Schetinin , Jonathan Fieldsend , Derek Partridge , Wojtek Krzanowski , Richard Everson , Trevor Bailey , Adolfo Hernandez

Real-time dispatch practices for operating the electric grid in an economic and reliable manner are evolving to accommodate higher levels of renewable energy generation. In particular, stochastic optimization is receiving increased…

Optimization and Control · Mathematics 2018-06-28 Ryan N. King , Matthew Reynolds , Devon Sigler , Wesley Jones

In this work, a method is proposed for combining differential and integral benchmark experimental data within a Bayesian framework for nuclear data adjustments and multi-level uncertainty propagation using the Total Monte Carlo method.…

Nuclear Theory · Physics 2019-05-29 E. Alhassan , D. Rochman , H. Sjöstrand , A. Vasiliev , A. J. Koning , H. Ferroukhi

Stochastic simulation is widely used to study complex systems composed of various interconnected subprocesses, such as input processes, routing and control logic, optimization routines, and data-driven decision modules. In practice, these…

Computation · Statistics 2026-02-19 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

Accurate intraday forecasts are essential for power system operations, complementing day-ahead forecasts that gradually lose relevance as new information becomes available. This paper introduces a Bayesian updating mechanism that converts…

Applications · Statistics 2026-03-17 Kutay Bölat , Peter Palensky , Simon Tindemans

Bayesian analysis is widely used in science and engineering for real-time forecasting, decision making, and to help unravel the processes that explain the observed data. These data are some deterministic and/or stochastic transformations of…

Optimization and Control · Mathematics 2020-02-24 Jiangjiang Zhang , Jasper A. Vrugt , Xiaoqing Shi , Guang Lin , Lingzao Zeng , Laosheng Wu