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This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

Optimization and Control · Mathematics 2011-02-25 Traian A Pirvu , Huayue Zhang

In this paper we consider the problem of pricing multiple differentiated products. This is challenging as a price change in one product, not only changes the demand of that particular product, but also the demand for the other products. To…

Optimization and Control · Mathematics 2017-10-27 Ruben van de Geer , Sandjai Bhulai

An informed seller designs a dynamic mechanism to sell an experience good. The seller has partial information about the product match, which affects the buyer's private consumption experience. We characterize equilibrium mechanisms of this…

Theoretical Economics · Economics 2025-06-24 Tan Gan , Nicholas Wu

In this paper analytic formulas for electricity derivatives are calculated. To this end, we assume that electricity spot prices follow a 3-regime Markov regime-switching model with independent spikes and drops and periodic transition…

Pricing of Securities · Quantitative Finance 2012-03-27 Joanna Janczura

In this paper an adaptive load management system that uses predictive control optimization is introduced. This price elastic system is able to optimize the consumption of power and is fully autonomous and responsive to market clearing…

Systems and Control · Computer Science 2018-09-24 Muneer Mohammad

Data centers are becoming a major consumer of electricity on the grid, with cooling accounting for about 40\% of that energy. As electricity prices vary throughout the day and year, there is a need for cooling strategies that adapt to these…

Optimization and Control · Mathematics 2025-09-15 Arash Khojaste , Jonathan Pearce , Golbon Zakeri , Yuanrui Sang

We formulate the optimal energy arbitrage problem for a piecewise linear cost function for energy storage devices using linear programming (LP). The LP formulation is based on the equivalent minimization of the epigraph. This formulation…

Systems and Control · Electrical Eng. & Systems 2019-08-19 Md Umar Hashmi , Arpan Mukhopadhyay , Ana Bušić , Jocelyne Elias , Diego Kiedanski

The time at which renewable (e.g., solar or wind) energy resources produce electricity cannot generally be controlled. In many settings, however, consumers have some flexibility in their energy consumption needs, and there is growing…

Optimization and Control · Mathematics 2025-03-14 Mohammad Mehrabi , Omer Karaduman , Stefan Wager

Volatile electrical energy prices are a challenge and an opportunity for small and medium-size companies in energy-intensive industries. By using electrical energy storage and/or an adaptation of production processes, companies can…

Optimization and Control · Mathematics 2023-11-21 Michael Stiglmayr , Svenja Uhlemeyer , Björn Uhlemeyer , Markus Zdrallek

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

Mathematical Finance · Quantitative Finance 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

We propose two parametric approaches to evaluate swing contracts with firm constraints. Our objective is to define approximations for the optimal control, which represents the amounts of energy purchased throughout the contract. The first…

Mathematical Finance · Quantitative Finance 2024-06-13 Vincent Lemaire , Gilles Pagès , Christian Yeo

This paper studies the problem of procuring diverse resources in a forward market to cover a set $\bf{E}$ of uncertain demand signals $\bf{e}$. We consider two scenarios: (a) $\bf{e}$ is revealed all at once by an oracle (b) $\bf{e}$…

Optimization and Control · Mathematics 2019-06-10 Sen Li , Akhil Shetty , Kameshwar Poolla , Pravin Varaiya

Optimizing the total cost of power systems is a common tool for network operation and planning. Besides valuable information about how to run and possibly expand a power system, the optimization provides an optimal Locational Marginal Price…

Physics and Society · Physics 2022-03-18 Fabian Hofmann , Markus Schlott

The rapid deployment of distributed energy resources (DERs) is one of the essential efforts to mitigate global climate change. However, a vast number of small-scale DERs are difficult to manage individually, motivating the introduction of…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Tao Tan , Rui Xie , Meng Yang , Yue Chen

In this study, an optimization problem is proposed in order to obtain the maximum economic benefit from wind farms with variable and intermittent energy generation in the day ahead and balancing electricity markets. This method, which is…

Econometrics · Economics 2018-06-15 Akın Taşcikaraoğlu , Ozan Erdinç

Electricity price prediction plays a vital role in energy storage system (ESS) management. Current prediction models focus on reducing prediction errors but overlook their impact on downstream decision-making. So this paper proposes a…

Machine Learning · Computer Science 2023-05-02 Linwei Sang , Yinliang Xu , Huan Long , Qinran Hu , Hongbin Sun

Efficient markets are characterised by profit-driven participants continuously refining their positions towards the latest insights. Margins for profit generation are generally small, shaping a difficult landscape for automated trading…

Computational Engineering, Finance, and Science · Computer Science 2025-04-16 Robin Bruneel , Mathijs Schuurmans , Panagiotis Patrinos

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

We adopt the perspective of an aggregator, which seeks to coordinate its purchase of demand reductions from a fixed group of residential electricity customers, with its sale of the aggregate demand reduction in a two-settlement wholesale…

Systems and Control · Computer Science 2017-12-29 Kia Khezeli , Eilyan Bitar