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A real-time optimal dispatch method for unbundle electricity markets is proposed in this paper. With this method, pool energy auction market, ancillary services market, and bilateral contract market can be coordinated by the ISO through a…

Optimization and Control · Mathematics 2016-07-28 Barati Masoud , Shayanfar Heidar Ali , Kazemi Ahad

The decarbonization of the power sector plays a pivotal role in economy-wide decarbonization to set the world on track to limit warming to 1.5{\deg}C by 2050. Carbon emission markets can play a significant role in this transition by putting…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Yijie Yang , Jian Shi , Dan Wang , Chenye Wu , Zhu Han

We characterize the value of swing contracts in continuous time as the unique viscosity solution of a Hamilton-Jacobi-Bellman equation with suitable boundary conditions. The case of contracts with penalties is straightforward, and in that…

Optimization and Control · Mathematics 2013-07-05 M. Basei , A. Cesaroni , T. Vargiolu

At present, electricity markets largely ignore the fact that renewable power producers impose significant externalities on non-renewable energy producers. This is because consumers are generally guaranteed electricity within certain load…

Optimization and Control · Mathematics 2016-11-28 Ashkan Zeinalzadeh , Indraneel Chakraborty , Vijay Gupta

We consider the problem of regulating products with negative externalities to a third party that is neither the buyer nor the seller, but where both the buyer and seller can take steps to mitigate the externality. The motivating example to…

Computer Science and Game Theory · Computer Science 2023-10-31 Tithi Chattopadhyay , Nick Feamster , Matheus V. X. Ferreira , Danny Yuxing Huang , S. Matthew Weinberg

We develop a model based on mean-field games of competitive firms producing similar goods according to a standard AK model with a depreciation rate of capital generating pollution as a byproduct. Our analysis focuses on the widely-used…

Mathematical Finance · Quantitative Finance 2024-07-18 Gianmarco Del Sarto , Marta Leocata , Giulia Livieri

The main goal of a sequential two-stage electricity market -- e.g., day-ahead and real-time markets -- is to operate efficiently. However, the price difference across stages due to inadequate competition and unforeseen circumstances leads…

Optimization and Control · Mathematics 2023-09-19 Rajni Kant Bansal , Yue Chen , Pengcheng You , Enrique Mallada

In this paper, we apply a dynamic game-theoretic model and analyze the problem of pollution control in Eastern Siberia region of Russia. When carrying out the analysis we use real numerical values of parameters. It is shown that cooperation…

Optimization and Control · Mathematics 2020-05-19 Ekaterina V. Gromova , Anna V. Tur , Polina I. Barsuk

In this paper investigations by the same authors on environmental issues concerning the control of the pollution produced by human activities have been extended to include costs related to environmental interventions. The proposed model…

Numerical Analysis · Mathematics 2025-11-03 Sebastian Anita , Vincenzo Capasso , Simone Scacchi

We introduce a method for approximating viscosity solutions of stationary degenerate elliptic Hamilton--Jacobi--Bellman equations on bounded domains arising in stochastic exit-time control. Viscosity enforcement is formulated as a min--max…

Optimization and Control · Mathematics 2026-05-18 Alen E. Golpashin , Gokul Puthumanaillam , Melkior Ornik , Bruce A. Conway

In this paper we consider an energy storage optimization problem in finite time in a model with partial information that allows for a changing economic environment. The state process consists of the storage level controlled by the storage…

Mathematical Finance · Quantitative Finance 2016-06-21 Anton A. Shardin , Michaela Szölgyenyi

We study a stochastic control problem on a bounded domain, which arises from a continuous-time optimal management model. Via the corresponding Hamilton-Jacobi-Bellman equation the value function is shown to be jointly continuous and to…

Probability · Mathematics 2017-10-24 Ruoting Gong , Christian Houdré

Network neutrality and the role of regulation on the Internet have been heavily debated in recent times. Amongst the various definitions of network neutrality, we focus on the one which prohibits paid prioritization of content and we…

Networking and Internet Architecture · Computer Science 2011-07-04 Richard T. B. Ma , Vishal Misra

We discuss the problems arising when computing eigenvalues of self-adjoint operators which lie in a gap between two parts of the essential spectrum. Spectral pollution, i.e. the apparent existence of eigenvalues in numerical computations,…

Spectral Theory · Mathematics 2007-05-23 E B Davies , M Plum

From a multi-input-multi-output (MIMO) discrete-time linear system, we collect input-output data affected by noise in the form of an unknown exosignal and, from these data points (without knowledge of the system model), we design a feedback…

Optimization and Control · Mathematics 2026-05-22 Andrea Bisoffi , Wenjie Liu , Zhongjie Hu , Claudio De Persis

\noindent We address the issue of market making on electronic markets when taking into account the clustering and long memory properties of market order flows. We consider a market model with one market maker and order flows driven by…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Paul Jusselin

In this paper, we aim to develop the theory of optimal stochastic control for branching diffusion processes where both the movement and the reproduction of the particles depend on the control. More precisely, we study the problem of…

Probability · Mathematics 2016-09-19 Julien Claisse

With increasing renewable penetration in power systems, a prominent challenge in efficient and reliable power system operation is handling the uncertainties inherent in the renewable generation. In this paper, we propose a simple…

Computer Science and Game Theory · Computer Science 2019-12-03 Hossein Khazaei , X. Andy Sun , Yue Zhao

The coordinated operation of interconnected but locally controlled electricity markets is generally referred to as a "coupling". In this paper we propose a new mechanism design for efficient coupling of independent electricity markets. The…

Optimization and Control · Mathematics 2021-01-13 Alfredo Garcia , Roohallah Khatami , Ceyhun Eksin , Furkan Sezer

The electricity industry has been one of the first to face technological changes motivated by sustainability concerns. Whilst efficiency aspects of market design have tended to focus upon market power concerns, the new policy challenges…

Theoretical Economics · Economics 2023-04-06 Lamia Varawala , Mohammad Reza Hesamzadeh , György Dán , Derek Bunn , Juan Rosellón