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Related papers: Gas Storage valuation with regime switching

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In this paper, we address an optimal management problem of community energy storage in the real-time electricity market under a stochastic renewable environment. In a real-time electricity market, complete market information may not be…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Lirong Deng , Xuan Zhang , Tianshu Yang , Hongbin Sun , Shmuel S. Oren

This paper presents an analytical method for calculating the operational value of an energy storage device under multi-stage price uncertainties. Our solution calculates the storage value function from price distribution functions directly…

Optimization and Control · Mathematics 2024-03-29 Bolun Xu , Audun Botterud , Magnus Korpas

This paper focuses on the valuation and hedging of gas storage facilities, using a spot-based valuation framework coupled with a financial hedging strategy implemented with futures contracts. The first novelty consist in proposing a model…

Pricing of Securities · Quantitative Finance 2014-06-30 Patrick Henaff , Ismail Laachir , Francesco Russo

To the best of our knowledge, the application of deep learning in the field of quantitative risk management is still a relatively recent phenomenon. In this article, we utilize techniques inspired by reinforcement learning in order to…

Computational Finance · Quantitative Finance 2021-03-08 Nicolas Curin , Michael Kettler , Xi Kleisinger-Yu , Vlatka Komaric , Thomas Krabichler , Josef Teichmann , Hanna Wutte

In this paper, we propose a mathematical formulation for the management of an oil production network as a multistage optimization problem. The reservoir is modeled as a controlled dynamical system by using material balance equations. We use…

In this work we analyse a stochastic control problem for the valuation of a natural gas power station while taking into account operating characteristics. Both electricity and gas spot price processes exhibit mean-reverting spikes and…

Mathematical Finance · Quantitative Finance 2016-08-02 Nemat Safarov , Colin Atkinson

A new stochastic control problem of a dam-reservoir system installed in a river is analyzed both mathematically and numerically. Water balance dynamics of the reservoir are piece-wise deterministic and are driven by a stochastic…

Systems and Control · Electrical Eng. & Systems 2020-05-04 H. Yoshioka , Y. Yoshioka

The mathematical problem concerning intrinsic storage optimisation is formulated and solved by means of variational analysis. The solution, though obtained in implicit form, still sheds light on many important features of the optimal…

Optimization and Control · Mathematics 2015-06-24 Dmitry Lesnik

This paper investigates methods for estimating the optimal stochastic control policy for a Markov Decision Process with unknown transition dynamics and an unknown reward function. This form of model-free reinforcement learning comprises…

Machine Learning · Computer Science 2019-12-06 Brandon Trabucco , Albert Qu , Simon Li , Ganeshkumar Ashokavardhanan

This paper applies computational techniques of convex stochastic optimization to optimal operation and valuation of electricity storages in the face of uncertain electricity prices. Our valuations are based on the indifference pricing…

We consider infinite-horizon stationary $\gamma$-discounted Markov Decision Processes, for which it is known that there exists a stationary optimal policy. Using Value and Policy Iteration with some error $\epsilon$ at each iteration, it is…

Machine Learning · Computer Science 2012-11-30 Bruno Scherrer , Boris Lesner

We find the variance-optimal equivalent martingale measure when multivariate assets are modeled by a regime-switching geometric Brownian motion, and the regimes are represented by a homogeneous continuous time Markov chain. Under this new…

Probability · Mathematics 2023-09-14 Bruno Remillard , Sylvain Rubenthaler

The fluctuations of electricity prices in demand response schemes and intermittency of renewable energy supplies necessitate the adoption of energy storage in microgrids. However, it is challenging to design effective real-time energy…

Data Structures and Algorithms · Computer Science 2017-09-25 Chi-Kin Chau , Guanglin Zhang , Minghua Chen

This paper applies computational techniques of convex stochastic optimization to optimal operation and valuation of electricity storages in the face of uncertain electricity prices. Our approach is applicable to various specifications of…

Optimization and Control · Mathematics 2025-04-22 Jean-Philippe Chancelier , Michel De Lara , François Pacaud , Teemu Pennanen , Ari-Pekka Perkkiö

We develop a quadratic regularization approach for the solution of high-dimensional multistage stochastic optimization problems characterized by a potentially large number of time periods/stages (e.g. hundreds), a high-dimensional resource…

Optimization and Control · Mathematics 2017-02-28 Tsvetan Asamov , Warren B. Powell

We propose a numerical procedure to solve an inverse problem that estimates the state of a magma reservoir from observed surface displacement of a volcano. Our variational approach aims to find the minimizer of a cost function consisting of…

Numerical Analysis · Mathematics 2026-05-04 Shungo Kun Tonoyama , Atsushi Suzuki , Takemasa Miyoshi

In this paper, we provide a novel algorithm for solving planning and learning problems of Markov decision processes. The proposed algorithm follows a policy iteration-type update by using a rank-one approximation of the transition…

Optimization and Control · Mathematics 2025-10-23 Arman Sharifi Kolarijani , Tolga Ok , Peyman Mohajerin Esfahani , Mohamad Amin Sharif Kolarijani

This paper presents a computation-efficient stochastic dynamic programming algorithm for solving energy storage price arbitrage considering variable charge and discharge efficiencies. We formulate the price arbitrage problem using…

Optimization and Control · Mathematics 2022-07-08 Ningkun Zheng , Joshua Jaworski , Bolun Xu

We introduce a new method to price American-style options on underlying investments governed by stochastic volatility (SV) models. The method does not require the volatility process to be observed. Instead, it exploits the fact that the…

Computational Finance · Quantitative Finance 2012-07-26 Bhojnarine R. Rambharat , Anthony E. Brockwell

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
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