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We present a numerical scheme for approximating the incompressible Navier-Stokes equations based on an auxiliary variable associated with the total system energy. By introducing a dynamic equation for the auxiliary variable and…

Fluid Dynamics · Physics 2019-05-01 Lianlei Lin , Suchuan Dong

Energy arbitrage is one of the most profitable sources of income for battery operators, generating revenues by buying and selling electricity at different prices. Forecasting these revenues is challenging due to the inherent uncertainty of…

Machine Learning · Computer Science 2024-10-29 Manuel Sage , Joshua Campbell , Yaoyao Fiona Zhao

The proliferation of ride sharing systems is a major drive in the advancement of autonomous and electric vehicle technologies. This paper considers the joint routing, battery charging, and pricing problem faced by a profit-maximizing…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Berkay Turan , Ramtin Pedarsani , Mahnoosh Alizadeh

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

This paper presents a novel decision-focused framework integrating the physical energy storage model into machine learning pipelines. Motivated by the model predictive control for energy storage, our end-to-end method incorporates the prior…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Ming Yi , Saud Alghumayjan , Bolun Xu

The large integration of variable energy resources is expected to shift a large part of the energy exchanges closer to real-time, where more accurate forecasts are available. In this context, the short-term electricity markets and in…

Trading and Market Microstructure · Quantitative Finance 2020-04-14 Ioannis Boukas , Damien Ernst , Thibaut Théate , Adrien Bolland , Alexandre Huynen , Martin Buchwald , Christelle Wynants , Bertrand Cornélusse

We study and formulate arbitrage in display advertising. Real-Time Bidding (RTB) mimics stock spot exchanges and utilises computers to algorithmically buy display ads per impression via a real-time auction. Despite the new automation, the…

Computer Science and Game Theory · Computer Science 2015-06-15 Weinan Zhang , Jun Wang

Convergence (virtual) bidding is an important part of two-settlement electric power markets as it can effectively reduce discrepancies between the day-ahead and real-time markets. Consequently, there is extensive research into the bidding…

Optimization and Control · Mathematics 2023-02-09 Letif Mones , Sean Lovett

This paper presents a framework for simultaneous bidding and pricing strategy for wholesale market participation of electric vehicle (EV) charging stations aggregator. The proposed framework incorporates the EV charging stations' technical…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Mohammad Mousavi , Li "Lisa" Qi , Alexander Brissette , Meng Wu

Sharpe ratio (also known as reward-to-variability ratio) is a widely-used metric in finance, which measures the additional return at the cost of per unit of increased risk (standard deviation of return). However, the optimization of Sharpe…

Artificial Intelligence · Computer Science 2025-09-03 Shuai Ma , Guangwu Liu , Li Xia

This paper is devoted to the price-storage dynamics in natural gas markets. A novel stochastic path-dependent volatility model is introduced with path-dependence in both price volatility and storage increments. Model calibrations are…

Mathematical Finance · Quantitative Finance 2025-07-22 Jinniao Qiu , Antony Ware , Yang Yang

The most common approaches for solving multistage stochastic programming problems in the research literature have been to either use value functions ("dynamic programming") or scenario trees ("stochastic programming") to approximate the…

Optimization and Control · Mathematics 2022-01-04 Warren B Powell , Saeed Ghadimi

This paper proposes a method for the stochastic estimation of Charging Stations prices based on dual decomposition. Prices are determined so as to minimize the social cost of the EVs while satisfying their constraints in expectation

Computer Science and Game Theory · Computer Science 2019-02-26 Georgios Tsaousoglou , Konstantinos Steriotis , Emmanouel Varvarigos

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error.…

Computational Finance · Quantitative Finance 2016-04-13 Christophe Michel , Victor Reutenauer , Denis Talay , Etienne Tanré

In this paper, we design an efficient algorithm for the energy-aware profit maximizing scheduling problem, where the high performance computing system administrator is to maximize the profit per unit time. The running time of the proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-23 Weidong Li , Xi Liu , Xuejie Zhang , Xiaobo Cai

Multi-time-scale stochastic approximation is an iterative algorithm for finding the fixed point of a set of $N$ coupled operators given their noisy samples. It has been observed that due to the coupling between the decision variables and…

Optimization and Control · Mathematics 2024-09-13 Sihan Zeng , Thinh T. Doan

Recently, Sidford, Wang, Wu and Ye (2018) developed an algorithm combining variance reduction techniques with value iteration to solve discounted Markov decision processes. This algorithm has a sublinear complexity when the discount factor…

Optimization and Control · Mathematics 2019-09-16 Marianne Akian , Stéphane Gaubert , Zheng Qu , Omar Saadi

This paper introduces and rationalizes a new model for bidding and clearing energy storage resources in wholesale energy markets. Charge and discharge bids in this model depend on the storage state-of-charge (SoC). In this setting, storage…

Systems and Control · Electrical Eng. & Systems 2023-01-27 Ningkun Zheng , Xin Qin , Di Wu , Gabe Murtaugh , Bolun Xu

The increasing penetration of renewable energy requires greater use of storage resources to manage system intermittency. As a result, there is growing interest in evaluating the opportunity cost of stored energy, or usage values, which can…

Optimization and Control · Mathematics 2025-12-05 Camila Martinez Parra , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier , Jean-Marc Janin

The rapid growth of weather-dependent renewable generation increases price volatility and imbalance penalty risk in power markets, creating the need for advanced quantitative trading strategies. We develop a data-driven continuous-time…

Mathematical Finance · Quantitative Finance 2026-05-01 Chiheb Ben Hammouda , Michael Samet , Raúl Tempone