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A study of time homogeneous, real valued Markov processes with a special property and a non-atomic initial distribution is provided. The new notion of a function of evolution of distribution which determines the dependency between one…

Probability · Mathematics 2022-07-04 Tomasz Bielecki , Jacek Jakubowski , Maciej Wiśniewolski

Utilizing solar energy to meet space heating and domestic hot water demand is very efficient (in terms of environmental footprint as well as cost), but in order to ensure that user demand is entirely covered throughout the year needs to be…

Machine Learning · Computer Science 2024-05-17 Tatiana Boura , Natalia Koliou , George Meramveliotakis , Stasinos Konstantopoulos , George Kosmadakis

Optimal scheduling of hydrogen production in dynamic pricing power market can maximize the profit of hydrogen producer; however, it highly depends on the accurate forecast of hydrogen consumption. In this paper, we propose a deep leaning…

Machine Learning · Computer Science 2018-08-23 Yusheng Luo , Min Xian , Manish Mohanpurkar , Bishnu P. Bhattarai , Anudeep Medam , Rahul Kadavil , Rob Hovsapian

This article presents a Hawkes process model with Markovian baseline intensities for high-frequency order book data modeling. We classify intraday order book trading events into a range of categories based on their order types and the price…

Trading and Market Microstructure · Quantitative Finance 2022-01-07 Philip Protter , Qianfan Wu , Shihao Yang

To operate process engineering systems in a safe and reliable manner, predictive models are often used in decision making. In many cases, these are mechanistic first principles models which aim to accurately describe the process. In…

Machine Learning · Computer Science 2022-05-20 Timur Bikmukhametov , Johannes Jäschke

Currently waste of energy is one of the most important issues, power plants are encountered all over the world. In this study, two mathematical programming models are presented to formulate solar power plants pertinent to the design of a…

Signal Processing · Electrical Eng. & Systems 2020-09-25 Mohsen MomeniTabar , Zhila Dehdari Ebrahimi , Mohammad Arani

This paper proposes a hydraulic model based on the Euler turbine equations suitable for the purpose of grid integration studies of variable speed hydropower (VSHP). The work was motivated by the need to assess how the dynamic performance…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Tor Inge Reigstad , Kjetil Uhlen

Generative probabilistic forecasting produces future time series samples according to the conditional probability distribution given past time series observations. Such techniques are essential in risk-based decision-making and planning…

Machine Learning · Computer Science 2024-02-22 Xinyi Wang , Lang Tong , Qing Zhao

This paper considers a distributed decision-making approach for manufacturing task assignment and condition-based machine health maintenance. Our approach considers information sharing between the task assignment and health management…

Artificial Intelligence · Computer Science 2025-10-22 Ali Nasir , Samir Mekid , Zaid Sawlan , Omar Alsawafy

Accurate forecasts for day-ahead photovoltaic (PV) power generation are crucial to support a high PV penetration rate in the local electricity grid and to assure stability in the grid. We use state-of-the-art tree-based machine learning…

Machine Learning · Computer Science 2023-12-04 Nick Berlanger , Noah van Ophoven , Tim Verdonck , Ines Wilms

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

Machine Learning · Computer Science 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

For a simple model of price-responsive demand, we consider a deregulated electricity marketplace wherein the grid (ISO, retailer-distributor) accepts bids per-unit supply from generators (simplified herein neither to consider…

Computer Science and Game Theory · Computer Science 2014-08-29 Yuquan Shan , Jayaram Raghuram , George Kesidis , Christopher Griffin , Karl Levitt , David J. Miller , Jeffry Rowe , Anna Scaglione

We consider a piecewise deterministic Markov decision process, where the expected exponential utility of total (nonnegative) cost is to be minimized. The cost rate, transition rate and post-jump distributions are under control. The state…

Optimization and Control · Mathematics 2017-11-22 Xin Guo , Yi Zhang

Hidden Markov Processes (HMP) is one of the basic tools of the modern probabilistic modeling. The characterization of their entropy remains however an open problem. Here the entropy of HMP is calculated via the cycle expansion of the…

Information Theory · Computer Science 2009-11-13 Armen E. Allahverdyan

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

The future energy system will largely depend on volatile renewable energy sources and temperature-dependent loads, which makes the weather a central influencing factor. This article presents a novel approach for simulating weather scenarios…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jan Peper , David Kröger , Jonathan Kipp , Florian Ziel , Christian Rehtanz

Given a batch of human computation tasks, a commonly ignored aspect is how the price (i.e., the reward paid to human workers) of these tasks must be set or varied in order to meet latency or cost constraints. Often, the price is set…

Computer Science and Game Theory · Computer Science 2014-08-28 Yihan Gao , Aditya Parameswaran

The intermittent nature of renewable energy resources such as wind and solar causes the energy supply to be less predictable leading to possible mismatches in the power network. To this end, hydrogen production and storage can provide a…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Arjen T. Veenstra , Albert H. Schrotenboer , Michiel A. J. Uit het Broek , Evrim Ursavas

This paper describes a model for generating time series which exhibit the statistical phenomenon known as long-range dependence (LRD). A Markov Modulated Process based upon an infinite Markov chain is described. The work described is…

Networking and Internet Architecture · Computer Science 2011-11-10 Richard G. Clegg , Maurice Dodson

This project attempts to address the problem of asset pricing in a financial market, where the interest rates and volatilities exhibit regime switching. This is an extension of the Black-Scholes model. Studies of Markov-modulated regime…

Mathematical Finance · Quantitative Finance 2016-09-19 Tanmay S. Patankar