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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">44851</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2025-26-1-52-62</article-id><article-id pub-id-type="edn">KECVOZ</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Mathematical Modeling of Organizational Project Management</article-title><trans-title-group xml:lang="ru"><trans-title>Математическое моделирование управления организационными проектами</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9116-3897</contrib-id><contrib-id contrib-id-type="spin">9852-6322</contrib-id><name-alternatives><name xml:lang="en"><surname>Podkin</surname><given-names>Kirill I.</given-names></name><name xml:lang="ru"><surname>Подкин</surname><given-names>Кирилл Игоревич</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD student of the Department of Innovation Management in Industries, Academy of Engineering</p></bio><bio xml:lang="ru"><p>аспирант кафедры инновационного менеджмента в отраслях промышленности, инженерная академия</p></bio><email>1142220974@pfur.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5017-0281</contrib-id><contrib-id contrib-id-type="spin">8702-4283</contrib-id><name-alternatives><name xml:lang="en"><surname>Nazarova</surname><given-names>Yulia A.</given-names></name><name xml:lang="ru"><surname>Назарова</surname><given-names>Юлия Александровна</given-names></name></name-alternatives><bio xml:lang="en"><p>Ph.D. in Economics, Associate Professor of the Department of Innovation Management in Industries, Academy of Engineering</p></bio><bio xml:lang="ru"><p>кандидат экономических наук, доцент кафедры инновационного менеджмента в отраслях промышленности, инженерная академия</p></bio><email>j.a.nazarova@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">RUDN University</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-06-02" publication-format="electronic"><day>02</day><month>06</month><year>2025</year></pub-date><volume>26</volume><issue>1</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>52</fpage><lpage>62</lpage><history><date date-type="received" iso-8601-date="2025-07-04"><day>04</day><month>07</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Podkin K.I., Nazarova Y.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Подкин К.И., Назарова Ю.А.</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Podkin K.I., Nazarova Y.A.</copyright-holder><copyright-holder xml:lang="ru">Подкин К.И., Назарова Ю.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/engineering-researches/article/view/44851">https://journals.rudn.ru/engineering-researches/article/view/44851</self-uri><abstract xml:lang="en"><p>A new mathematical model is presented aimed at improving the accuracy of forecasting and the effectiveness of managing organizational projects in conditions of uncertainty. The relevance of the study stems from the growing complexity of projects and the need to develop tools to minimize risks and optimize resources. The aim of the study is to create a mathematical apparatus that allows assessing the influence of various factors on the dynamics of the project and developing management mechanisms that are resistant to external influences. To achieve this goal, an analysis of existing approaches to project management was conducted, a mathematical model was developed based on systems theory and control theory. A systematic approach was used to build the model, which helped to account for the interrelationships between the various elements of the project. The model takes into account such factors as uncertainty, resource constraints and process dynamics. The results of the study allowed us to create a tool for forecasting and optimizing project management. The model helps to identify potential risks and develop effective strategies to minimize them. The scientific novelty of the work lies in the development of a new mathematical model that takes into account the specifics of organizational projects in order to accurately predict their results. The practical significance of the study lies in the possibility of using the developed model to improve the efficiency of project management in various organizations.</p></abstract><trans-abstract xml:lang="ru"><p>Представлена новая математическая модель, направленная на повышение точности прогнозирования и эффективности управления организационными проектами в условиях неопределенности. Актуальность исследования обусловлена растущей сложностью проектов и необходимостью разработки инструментов для минимизации рисков и оптимизации ресурсов. Цель исследования - создание математического аппарата для оценки влияния различных факторов на динамику выполнения проекта и разработка механизмов управления, устойчивых к внешним воздействиям. Проведен анализ существующих подходов к управлению проектами, разработана математическая модель на основе теории систем и теории управления. Для построения модели использовался системный подход, который помог учесть взаимосвязи между различными элементами проекта. Модель учитывает такие факторы, как неопределенность, ресурсные ограничения и динамику процессов. Результатом исследования стал инструмент для прогнозирования и оптимизации управления проектами. Модель помогает идентифицировать потенциальные риски и разрабатывать эффективные стратегии их минимизации. Научная новизна работы заключается в разработке новой математической модели, учитывающей специфику организационных проектов для точного прогнозирования их результатов. Практическая значимость исследования заключается в возможности применения разработанной модели для повышения эффективности управления проектами в различных организациях.</p></trans-abstract><kwd-group xml:lang="en"><kwd>mathematical model</kwd><kwd>project management</kwd><kwd>projects</kwd><kwd>uncertainty</kwd><kwd>dynamic systems</kwd><kwd>optimization</kwd><kwd>forecasting</kwd><kwd>resource constraints</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>математическая модель</kwd><kwd>управление проектами</kwd><kwd>динамические системы</kwd><kwd>оптимизация</kwd><kwd>прогнозирование</kwd><kwd>ресурсные ограничения</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Williams T. The contribution of mathematical modelling to the practice of project management. 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