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In this paper, we study option pricing under Vasicek Model by a Hamiltonian approach. Since the interest rate changes with time, we split the time to maturity into infinite steps, and the matrix element during each step could be calculated…

证券定价 · 定量金融 2024-12-09 Chao Guo , Ning Yao

We introduce a class of models for multidimensional control problems which we call skip-free Markov decision processes on trees. We describe and analyse an algorithm applicable to Markov decision processes of this type that are skip-free in…

最优化与控制 · 数学 2013-11-11 E. J. Collins

Mathematical modelling and defining useful recommendations for construction and regimes of exploitation for hot water solar installation with thermal stratification is the main purpose of this work. A special experimental solar module for…

计算工程、金融与科学 · 计算机科学 2007-05-23 Stanko Vl. Shtrakov , Anton Stoilov

For a long time interest-rate models were built on a single yield curve used both for discounting and forwarding. However, the crisis that has affected financial markets in the last years led market players to revise this assumption and…

证券定价 · 定量金融 2010-11-04 Nicola Moreni , Andrea Pallavicini

Energy storage is a fundamental component for the development of sustainable and environment-aware technologies. One of the critical challenges that needs to be overcome is preserving the State of Health (SoH) in energy harvesting systems,…

系统与控制 · 计算机科学 2015-11-24 Roberto Valentini , Nga Dang , Marco Levorato , Eli Bozorgzadeh

Our paper aims to model supply and demand curves of electricity day-ahead auction in a parsimonious way. Our main task is to build an appropriate algorithm to present the information about electricity prices and demands with far less…

证券定价 · 定量金融 2020-02-04 Mariia Soloviova , Tiziano Vargiolu

We propose a novel machine learning approach for probabilistic forecasting of hourly day-ahead electricity prices. In contrast with the recent advances in data-rich probabilistic forecasting, which approximates distributions with few…

综合经济学 · 经济学 2025-07-04 Jozef Barunik , Lubos Hanus

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Mean payoff (or long-run average reward) provides a mathematically elegant formalism to express performance related…

性能 · 计算机科学 2017-09-08 Jan Křetínský , Tobias Meggendorfer

Industrial and power systems rely on engineering predictions of the flow properties of working fluids. The paper proposes a way of the utilization of the vapor quality values along the new retrograde condensation curve in the generation of…

流体动力学 · 物理学 2014-02-14 Mark S. Labinov

Long-term planning of a robust power system requires the understanding of changing demand patterns. Electricity demand is highly weather sensitive. Thus, the supply side variation from introducing intermittent renewable sources, juxtaposed…

机器学习 · 计算机科学 2022-09-13 Reshmi Ghosh , Michael Craig , H. Scott Matthews , Constantine Samaras , Laure Berti-Equille

The main result is a doubly exponential decision procedure for the first-order equality theory of streams with both arithmetic and control-oriented stream operations. This stream logic is expressive for elementary problems of stream…

计算机科学中的逻辑 · 计算机科学 2024-01-05 Harald Ruess

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic…

统计金融 · 定量金融 2011-05-26 H. Quevedo , M. N. Quevedo

Steam power turbine-based power plant approximately contributes 90% of the total electricity produced in the United States. Mainly steam turbine consists of multiple types of turbine, boiler, attemperator, reheater, etc. Power is produced…

应用统计 · 统计学 2021-04-13 Prama Debnath , Mithun Ghosh

Birth and death Markov processes can model stochastic physical systems from percolation to disease spread and, in particular, wildfires. We introduce and analyze a birth-death-suppression Markov process as a model of controlled culling of…

适应与自组织系统 · 物理学 2023-10-11 George Hulsey , David L. Alderson , Jean Carlson

We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework and exhibits similar properties such as energy dissipation as…

数值分析 · 数学 2024-12-10 R. Altmann , P. Schulze

Markov models are widely used to describe processes of stochastic dynamics. Here, we show that Markov models are a natural consequence of the dynamical principle of Maximum Caliber. First, we show that when there are different possible…

统计力学 · 物理学 2015-05-28 Hao Ge , Steve Presse , Kingshuk Ghosh , Ken Dill

A two-stage multi-period mixed-integer linear stochastic programming model is proposed to assist qualified operators in long-term generation and transmission expansion planning of electricity and gas systems to meet policy objectives. The…

最优化与控制 · 数学 2025-05-22 Giovanni Micheli , Maria Teresa Vespucci , Alessia Cortazzi , Cinzia Puglisi

Modeling wind speed is one of the key element when dealing with the production of energy through wind turbines. A good model can be used for forecasting, site evaluation, turbines design and many other purposes. In this work we are…

数据分析、统计与概率 · 物理学 2015-02-12 G. D'Amico , F. Petroni , F. Prattico

Energy system models are increasingly being used to explore scenarios with large shares of variable renewables. This requires input data of high spatial and temporal resolution and places a considerable preprocessing burden on the modeling…

物理与社会 · 物理学 2020-03-04 Niclas Mattsson , Vilhelm Verendel , Fredrik Hedenus , Lina Reichenberg

Time homogeneous polynomial processes are Markov processes whose moments can be calculated easily through matrix exponentials. In this work, we develop a notion of time inhomogeneous polynomial processes where the coeffiecients of the…

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