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Earthquake research in the last few decades has led to considerable advances in seismic hazard and risk modeling across academia, industry, and government. Technological advances such as high performance computing and visualization can…

Human-Computer Interaction · Computer Science 2019-10-15 Hamed Nikbakht

Markov decision processes (MDPs) are the defacto frame-work for sequential decision making in the presence ofstochastic uncertainty. A classical optimization criterion forMDPs is to maximize the expected discounted-sum pay-off, which…

Artificial Intelligence · Computer Science 2020-02-28 Tomas Brazdil , Krishnendu Chatterjee , Petr Novotny , Jiri Vahala

Reliable, risk-averse design of complex engineering systems with optimized performance requires dealing with uncertainties. A conventional approach is to add safety margins to a design that was obtained from deterministic optimization.…

Optimization and Control · Mathematics 2024-06-18 Anirban Chaudhuri , Boris Kramer , Matthew Norton , Johannes O. Royset , Karen Willcox

Probabilistic model checking is a useful technique for specifying and verifying properties of stochastic systems including randomized protocols and reinforcement learning models. Existing methods rely on the assumed structure and…

Cryptography and Security · Computer Science 2022-08-02 Lisa Oakley , Alina Oprea , Stavros Tripakis

Computation of optimal recovery decisions for community resilience assurance post-hazard is a combinatorial decision-making problem under uncertainty. It involves solving a large-scale optimization problem, which is significantly aggravated…

Optimization and Control · Mathematics 2018-12-19 Yugandhar Sarkale , Saeed Nozhati , Edwin K. P. Chong , Bruce Ellingwood , Hussam Mahmoud

In this paper, we consider an integrated MSP-MDP framework which captures features of Markov decision process (MDP) and multistage stochastic programming (MSP). The integrated framework allows one to study a dynamic decision-making process…

Optimization and Control · Mathematics 2025-09-29 Zhiyao Yang , Zhiping Chen , Huifu Xu

Power system robustness against high impact low probability events is becoming a major concern. To depict distinct phases of a system response during these disturbances, an irregular polygon model is derived from the conventional trapezoid…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Giritharan Vijay Iswaran , Ramin Vakili , Mojdeh Khorsand

This paper considers a risk-constrained infinite-horizon optimal control problem and proposes to solve it in an iterative manner. Each iteration of the algorithm generates a trajectory from the starting point to the target equilibrium state…

Optimization and Control · Mathematics 2021-11-29 Alireza Zolanvari , Ashish Cherukuri

A growing demand for handling uncertainties and risks in performance-driven building design decision-making has challenged conventional design methods. Thus, researchers in this field lean towards viable alternatives to using deterministic…

Numerical Analysis · Mathematics 2021-09-20 Fatemeh Shahsavari , Jeffrey D. Hart , Wei Yan

Disaster management is a complex problem demanding sophisticated modeling approaches. We propose utilizing a hybrid method involving inverse optimization to parameterize the cost functions for a road network's traffic equilibrium problem…

Optimization and Control · Mathematics 2021-10-04 Stephanie Allen , Daria Terekhov , Steven A. Gabriel

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

A scenario-based Neo-Deterministic approach to Seismic Hazard Assessment (NDSHA) is available nowadays, which permits considering a wide range of possible seismic sources as the starting point for deriving scenarios by means of full…

Post-earthquake recovery of electric power networks (EPNs) is critical to community resilience. Traditional recovery processes often rely on prolonged and imprecise manual inspections for damage diagnosis, leading to suboptimal repair…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Huangbin Liang , Beatriz Moya , Francisco Chinesta , Eleni Chatzi

With a changing climate, the frequency and intensity of extreme weather events are likely to increase, posing a threat to infrastructure systems' resilience. The response of infrastructure systems to localised failures depends on whether…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Qianqian Li , Giuliano Punzo , Craig Robson , Hadi Arbabi , Martin Mayfield

Earthquake-induced secondary ground failure hazards, such as liquefaction and landslides, result in catastrophic building and infrastructure damage as well as human fatalities. To facilitate emergency responses and mitigate losses, the U.S.…

Computational Engineering, Finance, and Science · Computer Science 2022-04-19 Susu Xu , Joshua Dimasaka , David J. Wald , Hae Young Noh

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Current approaches to design flood-sensitive infrastructure typically assume a stationary rainfall distribution and neglect many uncertainties. These assumptions are inconsistent with observations that suggest intensifying extreme…

Applications · Statistics 2022-01-11 Sanjib Sharma , Ben Seiyon Lee , Robert E. Nicholas , Klaus Keller

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

Optimization and Control · Mathematics 2022-07-27 Francesco Micheli , John Lygeros

This paper introduces a new modeling framework for optimization under uncertainty, called Probable Event Constrained Optimization (PECO). Unlike conventional chance-constrained formulations, which only limit the probability of constraint…

Optimization and Control · Mathematics 2026-04-22 Qifeng Li
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