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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mgssuvest</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник МГСУ</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik MGSU</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1997-0935</issn><issn pub-type="epub">2304-6600</issn><publisher><publisher-name>Moscow State University of Civil Engineering (National Research University) (MGSU)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/1997-0935.2024.12.2001-2013</article-id><article-id custom-type="elpub" pub-id-type="custom">mgssuvest-453</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="ru"><subject>Технология и организация строительства. Экономика и управление в строительстве</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Technology and organization of construction. Economics and management in construction</subject></subj-group></article-categories><title-group><article-title>Планирование системы снабжения строительства в стесненных условиях методом динамического программирования</article-title><trans-title-group xml:lang="en"><trans-title>Planning of construction supply system in constrained conditions using the dynamic programming method</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0004-5827-0238</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Агеева</surname><given-names>Я. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Ageeva</surname><given-names>Ya. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ярослава Дмитриевна Агеева — ассистент кафедры технологии и организации строительства</p><p>630008, г. Новосибирск, ул. Ленинградская, д. 113</p></bio><bio xml:lang="en"><p>Yaroslava D. Ageeva — Assistant of the Department of Technology and Organization of Construction</p><p>113 Leningradskaya st., Novosibirsk, 630008</p></bio><email xlink:type="simple">ya.ageyeva@sibstrin.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7128-0757</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чиркунов</surname><given-names>Ю. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Chirkunov</surname><given-names>Yu. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юрий Александрович Чиркунов — доктор физ.-мат. наук, доцент, заведующий кафедрой высшей математики</p><p>630008, г. Новосибирск, ул. Ленинградская, д. 113</p><p>Scopus: 18433752300</p></bio><bio xml:lang="en"><p>Yuri A. Chirkunov — Doctor of Physical and Mathematical Sciences, Associate Professor, Head of the Department of Higher Mathematics</p><p>113 Leningradskaya st., Novosibirsk, 630008</p><p>Scopus: 18433752300</p></bio><email xlink:type="simple">chr102@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7846-5770</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лапидус</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Lapidus</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Азарий Абрамович Лапидус — д-р техн. наук, профессор, заведующий кафедрой технологии организации строительного производства</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>Scopus: 57192378750</p></bio><bio xml:lang="en"><p>Azariy A. Lapidus — Doctor of Technical Sciences, Professor, Head of the Department of Technology and Organization of Construction Production</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>Scopus: 57192378750</p></bio><email xlink:type="simple">Lapidusaa@mgsu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Новосибирский государственный архитектурно-строительный университет (Сибстрин)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Национальный исследовательский университет Московский государственный университет (НИУ МГСУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow State University of Civil Engineering (National Research University) (MGSU)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>26</day><month>12</month><year>2024</year></pub-date><volume>19</volume><issue>12</issue><fpage>2001</fpage><lpage>2013</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Агеева Я.Д., Чиркунов Ю.А., Лапидус А.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Агеева Я.Д., Чиркунов Ю.А., Лапидус А.А.</copyright-holder><copyright-holder xml:lang="en">Ageeva Y.D., Chirkunov Y.A., Lapidus A.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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://www.vestnikmgsu.ru/jour/article/view/453">https://www.vestnikmgsu.ru/jour/article/view/453</self-uri><abstract><sec><title>Введение</title><p>Введение. Применение метода динамического программирования широко используется для решения оптимизационных задач в строительстве. В зависимости от сложности проекта и условий при возведении зданий и сооружений принятие оптимальных решений может потребовать анализа большого количества данных и вариантов. Динамическое программирование позволяет рассмотреть задачу оптимизации как последовательность подзадач, которые могут быть решены по отдельности и затем объединены в общее решение. Это позволяет упростить процесс планирования и управления проектом, что является актуальным для принятия организационно-технологических решений при материально-техническом снабжении строительства в условиях плотной городской застройки, а также для повышения эффективности и конкурентоспособности строительной отрасли в целом.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. В исследовании применяется метод математической формализации условий, эффективного снабжения ресурсами, метод динамического программирования и метод графовой интерпретации результатов.</p></sec><sec><title>Результаты</title><p>Результаты. Произведена оптимизация системы снабжения строительного производства при многопоточной организации работ, на основе результатов оптимизации было определено оптимальное распределение ресурсов и построен сетевой график движения грузопотоков на протяжении рассматриваемого этапа возведения здания. Разработан алгоритм планирования графика поставок при поточном способе доставки ресурсов на строительную площадку.</p></sec><sec><title>Выводы</title><p>Выводы. При организации ресурсообеспечения строительно-монтажных работ в стесненных условиях важно учитывать ряд ограничений, вызванных данными условиями. Сокращение складских запасов является критическим условием для поддержания системы снабжения в бездефицитном положении. Кроме того, при поточном методе строительства есть риск повышения складских запасов ввиду динамики спроса на материалы и оборудование в то время, когда работы ведутся параллельно. Применение метода динамического программирования позволяет на этапе планирования избежать возникновения дефицита и превышения максимального запаса материальных ресурсов и выбрать их оптимальное распределение на рассматриваемом этапе строительно-монтажных работ.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The application of the dynamic programming method is widely used to solve optimization problems in construction. Depending on the complexity of the project and the conditions during the construction of buildings and structures, making optimal decisions may require the analysis of a large amount of data and options. Dynamic programming allows you to consider an optimization problem as a sequence of subproblems that can be solved separately and then combined into an overall solution. This makes it possible to simplify the process of planning and project management, which is relevant for making organizational and technological decisions in the material and technical supply of construction in dense urban areas, as well as for increasing the efficiency and competitiveness of the construction industry as a whole.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The study uses the method of mathematical formalization of conditions, efficient supply of resources, the method of dynamic programming and the method of graph interpretation of results.</p></sec><sec><title>Results</title><p>Results. The supply system for construction production was optimized for multi-threaded organization of work; based on the optimization results, the optimal distribution of resources was determined and a network diagram of the movement of cargo flows was constructed during the considered stage of building construction. An algorithm was developed for planning the supply schedule for the continuous method of delivering resources to the construction site.</p></sec><sec><title>Conclusions</title><p>Conclusions. The organization of resource support for construction and installation work in cramped conditions must take into account a number of restrictions caused by these conditions. Reducing inventory is critical to maintaining a stock-free supply chain. In addition, with the continuous construction method, there is a risk of increasing inventory due to the dynamics of demand for materials and equipment while work is carried out in parallel. The use of the dynamic programming method made it possible at the planning stage to avoid the occurrence of shortages and exceeding the maximum stock of material resources and to select their optimal distribution at the considered stage of construction and installation work.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>динамическое программирование в строительстве</kwd><kwd>строительство в стесненных условиях</kwd><kwd>математическая формализация производственных ограничений</kwd><kwd>минимизация издержек снабжения</kwd><kwd>принцип оптимальности Беллмана</kwd><kwd>управление снабжением</kwd></kwd-group><kwd-group xml:lang="en"><kwd>dynamic programming in construction</kwd><kwd>construction in constrained conditions</kwd><kwd>mathematical formalization of production constraints</kwd><kwd>minimization of supply costs</kwd><kwd>Bellman’s optimality principle</kwd><kwd>supply management</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">Болодурина И.П., Спешилов Е.А. 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