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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">gscience</journal-id><journal-title-group><journal-title xml:lang="en">Mining Science and Technology (Russia)</journal-title><trans-title-group xml:lang="ru"><trans-title>Горные науки и технологии</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2500-0632</issn><publisher><publisher-name>The National University of Science and Technology MISiIS (NUST MISIS)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/2500-0632-2025-03-401</article-id><article-id custom-type="elpub" pub-id-type="custom">gscience-1031</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MINING MACHINERY, TRANSPORT, AND MECHANICAL ENGINEERING</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ГОРНЫЕ МАШИНЫ, ТРАНСПОРТ И МАШИНОСТРОЕНИЕ</subject></subj-group></article-categories><title-group><article-title>Reliability analysis of mine ventilation fans based on Markov process theory</article-title><trans-title-group xml:lang="ru"><trans-title>Исследование надежности шахтных вентиляторов на основе теории марковских процессов</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0001-2477-4436</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Вяткин</surname><given-names>П. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Vyatkin</surname><given-names>P. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Павел Владимирович Вяткин – генеральный директор</p><p>г. Артемовский</p></bio><bio xml:lang="en"><p>Pavel V. Vyatkin – General Director</p><p>Artemovsky</p></bio><email xlink:type="simple">vyatkinpv@ventprom.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5556-2217</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Валиев</surname><given-names>Н. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Valiev</surname><given-names>N. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нияз Гадым-оглы Валиев – доктор технических наук, профессор, заведующий кафедрой горного дела</p><p>г. Екатеринбург</p><p>Scopus ID 55749527900</p></bio><bio xml:lang="en"><p>Niyaz G. Valiev – Dr. Sci. (Eng.), Professor, Head of the Department of Mining Engineering</p><p>Yekaterinburg</p><p>Scopus ID 55749527900</p><p>AuthorID 284710</p></bio><email xlink:type="simple">Niyaz.Valiev@m.ursmu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6095-0073</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Симисинов</surname><given-names>Д. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Simisinov</surname><given-names>D. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Денис Иванович Симисинов – доктор технических наук, доцент, заведующий кафедрой эксплуатации горного оборудования</p><p>г. Екатеринбург</p><p>Scopus ID 6505975115</p><p> </p></bio><bio xml:lang="en"><p>Denis I. Simisinov – Dr. Sci. (Eng.), Associate Professor, Head of the Department of Mining Equipment Operation</p><p>Yekaterinburg</p><p>Scopus ID 6505975115</p><p>AuthorID 435571</p></bio><email xlink:type="simple">7sinov@m.ursmu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8313-3137</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Волков</surname><given-names>Е. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Volkov</surname><given-names>E. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евгений Борисович Волков – кандидат технических наук, доцент, заведующий кафедрой технической механики</p><p>г. Екатеринбург</p><p>Scopus ID  57220450540</p></bio><bio xml:lang="en"><p>Evgenii B. Volkov – Cand. Sci. (Eng.), Associate Professor, Head of the Department of Technical Mechanics</p><p>Yekaterinburg</p><p>Scopus ID  57220450540</p><p>AuthorID 795310</p></bio><email xlink:type="simple">gmf.tm@ursmu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">АО «АМЗ «Вентпром»<country>Россия</country></aff><aff xml:lang="en">AMZ Ventprom JSC<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Уральский государственный горный университет<country>Россия</country></aff><aff xml:lang="en">Ural State Mining University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>13</day><month>10</month><year>2025</year></pub-date><volume>10</volume><issue>3</issue><fpage>289</fpage><lpage>297</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Vyatkin P.V., Valiev N.G., Simisinov D.I., Volkov E.B., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Вяткин П.В., Валиев Н.Г., Симисинов Д.И., Волков Е.Б.</copyright-holder><copyright-holder xml:lang="en">Vyatkin P.V., Valiev N.G., Simisinov D.I., Volkov E.B.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://mst.misis.ru/jour/article/view/1031">https://mst.misis.ru/jour/article/view/1031</self-uri><abstract><p>The reliability of mine ventilation fans plays a crucial role in aerological systems and is determined by a combination of various geological, mining-technological, and structural factors, most of which are stochastic in nature. The problem of quantifying the reliability indicators of mine fan installations is addressed using various mathematical methods for modeling random processes. This study considers the possibility of applying Markov process theory to develop a methodology for calculating the operational reliability of centrifugal main mine ventilation fans, using the VShTs-16 as an example. The limitations of applying Markov processes to reliability analysis are demonstrated, particularly due to the condition of stochastic independence of failures. The use of homogeneous Markov processes has its constraints, since the transition intensities between individual system states are not always constant. In such cases, it is impossible to construct a system of differential equations with time-dependent coefficients. When stochastic dependence is present in failure flows of mechanical systems, the application of Markov process theory remains possible, but the most effective tool for reliability analysis in such cases is the Monte Carlo numerical simulation method.</p></abstract><trans-abstract xml:lang="ru"><p>Важнейшую роль в аэрологических системах играет безотказность шахтных вентиляторных установок, надежность которых определяется комплексом различных геологических, горнотехнологических и конструктивных факторов, преимущественно стохастического характера. Задача определения количественных показателей надежности шахтных вентиляторных установок решается с применением различных математических методов моделирования случайных процессов. В работе рассматривается возможность использования теории марковских процессов для разработки методики расчета эксплуатационной надежности шахтных вентиляторных установок на примере вентилятора шахтного центробежного главного проветривания ВШЦ-16. Показана ограниченность применимости марковских процессов к анализу теории надежности по условию стохастической независимости отказов. Использование модели однородных марковских процессов имеет свои границы, т.к. интенсивности переходов между отдельными состояниями системы далеко не всегда являются постоянными величинами. В этом случае невозможно составить систему дифференциальных уравнений с зависящими от времени коэффициентами. При наличии стохастической зависимости в потоках отказов механических систем применение теории марковских процессов возможно, но в этих случаях наилучшим инструментом для анализа надежности является численный метод статистических испытаний Монте-Карло.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>марковские процессы</kwd><kwd>техническая система</kwd><kwd>стохастические процессы</kwd><kwd>надежность</kwd><kwd>корреляционный анализ</kwd><kwd>отказ</kwd><kwd>вентиляторная установка</kwd><kwd>вентилятор шахтный главного проветривания</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Markov processes</kwd><kwd>technical system</kwd><kwd>stochastic processes</kwd><kwd>reliability</kwd><kwd>correlation analysis</kwd><kwd>failure</kwd><kwd>ventilation fans</kwd><kwd>main mine ventilation fan</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ahaiev R., Prytula D., Kliuiev E., et al. 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