Formation of a Confidence Absorbing Set in the Task of Wind Speed Prediction

 
Audio is AI-generated
72

Abstract

The article researches the problem of determining the set of allowable forecast wind speed vectors measured before the departure of the aircraft at which the wind speed by the time of landing will be within allowable limits with a given probability. Deviations of the wind direction and modulus from the forecast ones are supposed to be random. The case when the destination airport has two runways located at an angle to each other is considered. The problem is reduced to the problem of determining the isoquant for the probability function of a special kind. A numerical algorithm for constructing an approximation of the isoquant is proposed. Numerical examples are given, showing the dependence of the required set shape on the task parameters.

General Information

Keywords: confidence absorbing set, probability function, smooth approximation of the probability function, isoquant of the probability function

Journal rubric: Mathematical Modelling

OpenAlex citations: 0

OpenAlex trends: Energy Load and Power Forecasting, Wind and Air Flow Studies, Geodetic Measurements and Engineering Structures

Information about the work in OpenAlex

Number of citations: 0

Topics

Energy Load and Power Forecasting

This cluster of papers focuses on the methods and techniques for forecasting electricity prices and load demand, with an emphasis on short-term forecasting using neural networks, ARIMA models, and probabilistic approaches. The cluster also covers topics related to wind power generation, deep learning applications, and renewable energy forecasting.

Number of works: 70189  |  Total number of citations: 936499

Topic detailsв OpenAlex

Wind and Air Flow Studies

This cluster of papers focuses on the modeling and simulation of urban wind environments, air quality, and atmospheric dispersion. It covers topics such as CFD simulation, urban microclimate, pedestrian wind comfort, turbulent flow, building ventilation, and boundary layer dynamics.

Number of works: 73600  |  Total number of citations: 914536

Topic detailsв OpenAlex

Geodetic Measurements and Engineering Structures

This cluster of papers focuses on geodetic engineering, infrastructure monitoring, and the use of advanced technologies such as total stations, laser scanning, and digital terrain models. It also covers topics related to foundation slabs, BIM for roads, and the environmental impact of construction projects.

Number of works: 56012  |  Total number of citations: 30577

Topic detailsв OpenAlex

Work details in OpenAlex

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2025150108

Received 19.02.2025

Accepted

Published

For citation: Sklezneva, X.A., Sobol, V.R. (2025). Formation of a Confidence Absorbing Set in the Task of Wind Speed Prediction. Modelling and Data Analysis, 15(1), 145–157. (In Russ.). https://doi.org/10.17759/mda.2025150108

© Sklezneva X.A., Sobol V.R., 2025

License: CC BY-NC 4.0

References

  1. Malyshev V.V., Kibzun A.I. Analiz i sintez vysokotochnogo upravleniya letatel'nymi apparatami // M.: Mashinostroenie, 1987 – 302 s.
  2. Kan Yu.S., Kibzun A.I. Zadachi stohasticheskogo programmirovaniya s veroyatnostnymi kriteriyami // M.: Fizmatlit, 2009. - 372 s.
  3. Kibzun A.I., Malyshev V.V. Obobshchennyj minimaksnyj podhod k resheniyu zadach s veroyatnostnymi ogranicheniyami // Izv. AN SSSR. Tekhnicheskaya kibernetika. 1984. № 1. S. 20–29.
  4. Sobol V.R., Torishnyy R.O., Pokhvalenskaya A.M. Application of the smooth approximation of the probability function in some applied stochastic programming problems // Vestn. YuUrGU. Ser. Matem. Modelirovanie i programmirovanie. 14:3. 2021. S. 33-45.
  5. Kibzun A.I., Ivanov S.V., Stepanova A.S. Postroenie doveritel'nogo mnozhestva pogloshcheniya v zadachah analiza stohasticheskih sistem // Avtomat. i telemekh., 2020, S. 21-36.
  6. Kibzun A.I., Ivanov S.V. Postroenie doveritel'nyh mnozhestv pogloshcheniya s pomoshch'yu statisticheskih metodov // Avtomat. i telemekh., 2020, S. 82-99.
  7. Sobol' V.R., Torishnyj R.O. O gladkoj approksimacii veroyatnostnyh kriteriev v zadachah stohasticheskogo programmirovaniya // Tr. SPIIRAN, 2020 – 38 s.
  8. Kibzun A.I., Tret'yakov G.L. Differenciruemost' funkcii veroyatnosti // Doklady Akademii nauk, 1997, S. 159-161.
  9. Uryasev S.. Derivatives of probability functions and some applications. // Annals of Operations Research. 1995, Vol. 56. № 1. pp. 287–311.
  10. Torishnyj R.O. Programmnyj kompleks dlya analiza zadach stohasticheskogo programmirovaniya s veroyatnostnym kriteriem // M.: VKiT, 2022 – 12 s.

Information About the Authors

Xenia A. Sklezneva, student of the Department of Probability Theory and Computer Modeling, Moscow Aviation Institute (National Research University) (MAI), Moscow, Russian Federation, e-mail: xenia.sklezneva@gmail.com

Vitalyi R. Sobol, Candidate of Science (Physics and Matematics), Associate Professor, Department 804 "Probability Theory and Computer Modeling", Moscow Aviation Institute (National Research University) (MAI), Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-1275-0445, e-mail: vitsobol@mail.ru

Metrics

 Web Views

Whole time: 267
Previous month: 14
Current month: 11

 PDF Downloads

Whole time: 72
Previous month: 6
Current month: 7

 Total

Whole time: 339
Previous month: 20
Current month: 18