Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena

A self-adjusting zero-order Brown’s model has been devised. This model makes it possible to predict with high accuracy not only fires in the premises but also irreversible processes and phenomena of a random and chaotic nature under actual conditions. The essence of the self-adjusting model is that,...

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Autores principales: Boris Pospelov, Vladimir Andronov, Evgenіy Rybka, Olekcii Krainiukov, Nadiya Maksymenko, Igor Biryukov, Maxim Zhuravskij, Yuliia Bezuhla, Ihor Morozov, Ihor Yevtushenko
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UK
Publicado: PC Technology Center 2021
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Acceso en línea:https://doaj.org/article/fd3d6e3a4958440581f65355a9c38cba
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spelling oai:doaj.org-article:fd3d6e3a4958440581f65355a9c38cba2021-11-04T14:13:29ZDevising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena1729-37741729-406110.15587/1729-4061.2021.241474https://doaj.org/article/fd3d6e3a4958440581f65355a9c38cba2021-10-01T00:00:00Zhttp://journals.uran.ua/eejet/article/view/241474https://doaj.org/toc/1729-3774https://doaj.org/toc/1729-4061A self-adjusting zero-order Brown’s model has been devised. This model makes it possible to predict with high accuracy not only fires in the premises but also irreversible processes and phenomena of a random and chaotic nature under actual conditions. The essence of the self-adjusting model is that, based on Kalman’s approach, it is proposed to set the smoothing parameter for each time moment. Such a parameter is determined depending on the resulting current forecast error, taking into consideration the real and unknown dynamics of the studied series and noise. That does not require the selection of the smoothing parameter characteristic of known models. In addition, the proposed Brown’s model, unlike the known modifications, does not require setting a dynamics model of the level of the examined time series. The self-adjusting model provides negligible errors and efficiency of the forecast. The operability of the devised model was checked using an example of the experimental time series for the current measure of the recurrence of the increments of the state of the air medium in the laboratory chamber during alcohol combustion. As quantitative indicators of the quality of the forecast error, the current values for the square and absolute values were considered. It has been established that the current square of the forecast error is more than six orders of magnitude smaller compared to the case of a fixed smoothing parameter from a beyond-the-limit set. However, the current square of the forecast error for abrupt changes in the dynamics of the series level is half that of the fixed parameter of the beyond-the-limit set. It is noted that the results confirm the feasibility of the proposed self-adjusting Brown’s modelBoris PospelovVladimir AndronovEvgenіy RybkaOlekcii KrainiukovNadiya MaksymenkoIgor BiryukovMaxim ZhuravskijYuliia BezuhlaIhor MorozovIhor YevtushenkoPC Technology Centerarticlefire forecastingself-adjusting brown’s modelignitionair environmentcurrent measure of recurrenceTechnology (General)T1-995IndustryHD2321-4730.9ENRUUKEastern-European Journal of Enterprise Technologies, Vol 5, Iss 10 (113), Pp 40-47 (2021)
institution DOAJ
collection DOAJ
language EN
RU
UK
topic fire forecasting
self-adjusting brown’s model
ignition
air environment
current measure of recurrence
Technology (General)
T1-995
Industry
HD2321-4730.9
spellingShingle fire forecasting
self-adjusting brown’s model
ignition
air environment
current measure of recurrence
Technology (General)
T1-995
Industry
HD2321-4730.9
Boris Pospelov
Vladimir Andronov
Evgenіy Rybka
Olekcii Krainiukov
Nadiya Maksymenko
Igor Biryukov
Maxim Zhuravskij
Yuliia Bezuhla
Ihor Morozov
Ihor Yevtushenko
Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena
description A self-adjusting zero-order Brown’s model has been devised. This model makes it possible to predict with high accuracy not only fires in the premises but also irreversible processes and phenomena of a random and chaotic nature under actual conditions. The essence of the self-adjusting model is that, based on Kalman’s approach, it is proposed to set the smoothing parameter for each time moment. Such a parameter is determined depending on the resulting current forecast error, taking into consideration the real and unknown dynamics of the studied series and noise. That does not require the selection of the smoothing parameter characteristic of known models. In addition, the proposed Brown’s model, unlike the known modifications, does not require setting a dynamics model of the level of the examined time series. The self-adjusting model provides negligible errors and efficiency of the forecast. The operability of the devised model was checked using an example of the experimental time series for the current measure of the recurrence of the increments of the state of the air medium in the laboratory chamber during alcohol combustion. As quantitative indicators of the quality of the forecast error, the current values for the square and absolute values were considered. It has been established that the current square of the forecast error is more than six orders of magnitude smaller compared to the case of a fixed smoothing parameter from a beyond-the-limit set. However, the current square of the forecast error for abrupt changes in the dynamics of the series level is half that of the fixed parameter of the beyond-the-limit set. It is noted that the results confirm the feasibility of the proposed self-adjusting Brown’s model
format article
author Boris Pospelov
Vladimir Andronov
Evgenіy Rybka
Olekcii Krainiukov
Nadiya Maksymenko
Igor Biryukov
Maxim Zhuravskij
Yuliia Bezuhla
Ihor Morozov
Ihor Yevtushenko
author_facet Boris Pospelov
Vladimir Andronov
Evgenіy Rybka
Olekcii Krainiukov
Nadiya Maksymenko
Igor Biryukov
Maxim Zhuravskij
Yuliia Bezuhla
Ihor Morozov
Ihor Yevtushenko
author_sort Boris Pospelov
title Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena
title_short Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena
title_full Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena
title_fullStr Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena
title_full_unstemmed Devising a self-adjusting zero-order Brown’s model for predicting irreversible processes and phenomena
title_sort devising a self-adjusting zero-order brown’s model for predicting irreversible processes and phenomena
publisher PC Technology Center
publishDate 2021
url https://doaj.org/article/fd3d6e3a4958440581f65355a9c38cba
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