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We study a family of optimal control problems under a set of controlled-loss constraints holding at different deterministic dates. The characterization of the associated value function by a Hamilton-Jacobi-Bellman equation usually calls for…

Optimization and Control · Mathematics 2020-07-27 Geraldine Bouveret , Athena Picarelli

We use an evolutionary game model to study the interplay between corporate environmental compliance and enforcement promoted by the policy maker in a country facing a pollution trap, i.e., a scenario in which the vast majority of firms do…

Physics and Society · Physics 2018-02-27 Gabriel Meyer Salomão , André Barreira da Silva Rocha

The manufacturing industry is under growing pressure to enhance sustainability while preserving economic competitiveness. As a result, manufacturers have been trying to determine how to integrate onsite renewable energy and real-time…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Hongliang Li , Herschel C. Pangborn , Ilya Kovalenko

This paper considers the control of uncertain systems that are operated under limited resource factors, such as battery life or hardware longevity. We consider here resource-aware self-triggered control techniques that schedule system…

Systems and Control · Electrical Eng. & Systems 2021-03-11 Yingzhao Lian , Yuning Jiang , Naomi Stricker , Lothar Thiele , Colin N. Jones

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

With the fragmentation of electronic markets, exchanges are now competing in order to attract trading activity on their platform. Consequently, they developed several regulatory tools to control liquidity provision / consumption on their…

Optimization and Control · Mathematics 2022-10-17 Bastien Baldacci , Philippe Bergault

Machine learning has been successful in building control policies to drive a complex system to desired states in various applications (e.g. games, robotics, etc.). To be specific, a number of parameters of policy can be automatically…

Artificial Intelligence · Computer Science 2025-03-28 Yongshuai Liu , Taeyeong Choi , Xin Liu

We consider the problem of how to regulate an oligopoly when firms have private information about their costs. In the environment, consumers make discrete choices over goods, and minimal structure is placed on the manner in which firms…

Theoretical Economics · Economics 2024-02-14 Kai Hao Yang , Alexander K. Zentefis

We consider a deterministic continuous time model of monopolistic firm, which chooses production and pricing strategies of a single good. Firm's goal is to maximize the discounted profit over infinite time horizon. The no-backlogging…

Optimization and Control · Mathematics 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

``When in a difficult situation, it is sometimes better to give up and start all over again''. While this empirical truth has been regularly observed in a wide range of circumstances, quantifying the effectiveness of such a heuristic…

Statistical Mechanics · Physics 2023-02-20 Benjamin De Bruyne , Francesco Mori

The stochastic knapsack has been used as a model in wide ranging applications from dynamic resource allocation to admission control in telecommunication. In recent years, a variation of the model has become a basic tool in studying problems…

Pricing of Securities · Quantitative Finance 2008-12-02 Grace Lin , Yingdong Lu , David Yao

With the increasing integration of power plants into the frequency-regulation markets, the importance of optimal trading has grown substantially. This paper conducts an in-depth analysis of their optimal trading behavior in sequential…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Saeed Nordin , Abolfazl Khodadadi , Priyanka Shinde , Evelin Blom , Mohammad Reza Hesamzadeh , Lennart Söder

To tackle the difficulties faced by both stochastic dynamic programming and scenario tree methods, we present some variational approach for numerical solution of stochastic optimal control problems. We consider two different interpretations…

Optimization and Control · Mathematics 2009-07-28 Pierre Carpentier , Guy Cohen , Anes Dallagi

We consider a two-road dynamic routing game where the state of one of the roads (the "risky road") is stochastic and may change over time. This generates room for experimentation. A central planner may wish to induce some of the (finite…

Computer Science and Game Theory · Computer Science 2020-01-13 Emily Meigs , Francesca Parise , Asuman Ozdaglar , Daron Acemoglu

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

Battery participants in performance-based frequency regulation markets must consider the cost of battery aging in their operating strategies to maximize market profits. In this paper we solve this problem by proposing an optimal control…

Optimization and Control · Mathematics 2018-06-12 Bolun Xu , Yuanyuan Shi , Daniel S. Kirschen , Baosen Zhang

In this paper, we consider a domestic standalone microgrid equipped with local renewable energy generation such as photovoltaic panels, consumption units, and battery storage to balance supply and demand and investigate the stochastic…

Optimization and Control · Mathematics 2025-11-04 Paul Honore Takam , Nathalie Fruiba

In this paper, we provide an integrated systems modeling approach to analyzing global externalities from a microeconomic perspective. Various forms of policy (fiscal, monetary, etc.) have addressed flaws and market failures in models, but…

Economics · Quantitative Finance 2017-10-10 Agnibho Roy , Abhishek Mohan

SREC markets are a relatively novel market-based system to incentivize the production of energy from solar means. A regulator imposes a floor on the amount of energy each regulated firm must generate from solar power in a given period and…

Mathematical Finance · Quantitative Finance 2020-04-07 Arvind Shrivats , Sebastian Jaimungal

We consider the problem of designing an expected-revenue maximizing mechanism for allocating multiple non-perishable goods of $k$ varieties to flexible consumers over $T$ time steps. In our model, a random number of goods of each variety…

Computer Science and Game Theory · Computer Science 2020-07-08 Shiva Navabi , Ashutosh Nayyar
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