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We examine a constrained Markov decision process under uncertain transition probabilities, with the uncertainty modeled as deviations from observed transition probabilities. We construct the uncertainty set associated with the deviations…

Optimization and Control · Mathematics 2025-04-15 V Varagapriya

Motion planning is a fundamental problem and focuses on finding control inputs that enable a robot to reach a goal region while safely avoiding obstacles. However, in many situations, the state of the system may not be known but only…

Robotics · Computer Science 2021-08-30 Lars Lindemann , Matthew Cleaveland , Yiannis Kantaros , George J. Pappas

We consider the problem of steering a system with unknown, stochastic dynamics to satisfy a rich, temporally layered task given as a signal temporal logic formula. We represent the system as a Markov decision process in which the states are…

Systems and Control · Computer Science 2015-10-23 Austin Jones , Derya Aksaray , Zhaodan Kong , Mac Schwager , Calin Belta

The goal of robust motion planning consists of designing open-loop controls which optimally steer a system to a specific target region while mitigating uncertainties and disturbances which affect the dynamics. Recently, stochastic optimal…

Optimization and Control · Mathematics 2023-03-03 Clara Leparoux , Riccardo Bonalli , Bruno Hérissé , Frédéric Jean

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

We consider a robust approach to address uncertainty in model parameters in Markov Decision Processes (MDPs), which are widely used to model dynamic optimization in many applications. Most prior works consider the case where the uncertainty…

Optimization and Control · Mathematics 2021-09-02 Vineet Goyal , Julien Grand-Clément

Uncertainties in core quality condition, return quantity and timing can propagate and accumulate in process cost and complicate cost assessments. However, regardless of cost assessment complexities, accurate cost models are required for…

Applications · Statistics 2018-02-01 Saeed Z. Gavidel , Jeremy L. Rickli

This paper proposes risk-averse and risk-agnostic formulations to robust design in which solutions that satisfy the system requirements for a set of scenarios are pursued. These scenarios, which correspond to realizations of uncertain…

Optimization and Control · Mathematics 2025-11-07 Luis G. Crespo , Bret Stanford , Natalia Alexandrov

Robots operate under significant uncertainty, from quantifiable noise to unquantifiable unknowns, and must account for strict operational constraints, such as limited resources. In this paper, we consider the problem of synthesizing robust…

Robotics · Computer Science 2026-05-08 Yihao Yin , Pian Yu , Andrea Turrini , Zhiming Chi , Yong Li , Lijun Zhang

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

Computation · Statistics 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

The growing uncertainty from renewable power and electricity demand brings significant challenges to unit commitment (UC). While various advanced forecasting and optimization methods have been developed to predict better and address this…

Optimization and Control · Mathematics 2025-09-30 Rui Xie , Yue Chen , Pierre Pinson

We consider the problem of optimally designing a system for repeated use under uncertainty. We develop a modeling framework that integrates design and operational phases, which are represented by a mixed-integer program and discounted-cost…

Optimization and Control · Mathematics 2024-03-25 Seth Brown , Saumya Sinha , Andrew J Schaefer

Economists often estimate economic models on data and use the point estimates as a stand-in for the truth when studying the model's implications for optimal decision-making. This practice ignores model ambiguity, exposes the decision…

Econometrics · Economics 2021-10-07 Maximilian Blesch , Philipp Eisenhauer

In this paper, we propose a data-driven robust safety verification framework for stochastic dynamical systems modeled as Markov decision processes with time-varying and uncertain transition probabilities. Rather than assuming access to the…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Abhijit Mazumdar , Manuela L. Bujorianu , Rafal Wisniewski

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

In the era of industrial big data, prognostics and health management is essential to improve the prediction of future failures to minimize inventory, maintenance, and human costs. Used for the 2021 PHM Data Challenge, the new Commercial…

Machine Learning · Computer Science 2024-03-28 Joseph Cohen , Xun Huan , Jun Ni

Robots incurring component failures ought to adapt their behavior to best realize still-attainable goals under reduced capacity. We formulate the problem of planning with actuators known a priori to be susceptible to failure within the…

Robotics · Computer Science 2024-05-21 Kyle Baldes , Diptanil Chaudhuri , Jason M. O'Kane , Dylan A. Shell

Electric truck operations require routing decisions that remain feasible under limited battery range, long charging times, travel and energy consumption, and competition for shared charging infrastructure. These features make electric truck…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Stavros Orfanoudakis , Ziyan Li , Ruixiao Yang , Nikolay Aristov , Pedro P. Vergara , Chuchu Fan , Elenna Dugundji

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

Machine Learning · Computer Science 2022-01-03 Tien Mai , Patrick Jaillet

Because failures in distribution systems caused by extreme weather events directly result in consumers' outages, this paper proposes a state-based decision-making model with the objective of mitigating loss of load to improve the…

Optimization and Control · Mathematics 2019-04-02 Chong Wang , Ping Ju , Shunbo Lei , Zhaoyu Wang , Yunhe Hou
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