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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">Informacionnye Tehnologii</journal-id><journal-title-group><journal-title xml:lang="en">Informacionnye Tehnologii</journal-title><trans-title-group xml:lang="ru"><trans-title>Информационные технологии</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1684-6400</issn><publisher><publisher-name xml:lang="en">New Technologies Publishing House</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">707315</article-id><article-id pub-id-type="doi">10.17587/it.32.236-242</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Modeling and optimization</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Моделирование и оптимизация</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">Application of computational graph to scheduling problems under uncertainty</article-title><trans-title-group xml:lang="ru"><trans-title>Применение вычислительного графа для решения задач планирования в условиях неопределенности</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Knyazeva</surname><given-names>M. V.</given-names></name><name xml:lang="ru"><surname>Князева</surname><given-names>М. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Cand. of Tech. Sc.,<bold> </bold>Assistant Professor</p></bio><bio xml:lang="ru"><p>канд. техн. наук, доц.</p></bio><email>mknyazeva@sfedu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Bozhenyuk</surname><given-names>A. V.</given-names></name><name xml:lang="ru"><surname>Боженюк</surname><given-names>А. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Dr. of Tech. Sc.,<bold> </bold>Professor</p></bio><bio xml:lang="ru"><p>д-р техн. наук, проф.</p></bio><email>avbozhenyuk@sfedu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Rozenberg</surname><given-names>I. N.</given-names></name><name xml:lang="ru"><surname>Розенберг</surname><given-names>И. Н.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Dr. of Tech. Sc.,<bold> </bold>Professor</p></bio><bio xml:lang="ru"><p>д-р техн. наук, проф.</p></bio><email>avb@itt.net.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Southern Federal University, Taganrog</institution></aff><aff><institution xml:lang="ru">Южный федеральный университет, Таганрог</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Russian University of Transport (MIIT)</institution></aff><aff><institution xml:lang="ru">Российский университет транспорта (МИИТ)</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2026-05-09" publication-format="electronic"><day>09</day><month>05</month><year>2026</year></pub-date><volume>32</volume><issue>5</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>236</fpage><lpage>242</lpage><history><date date-type="received" iso-8601-date="2026-05-08"><day>08</day><month>05</month><year>2026</year></date><date date-type="accepted" iso-8601-date="2026-05-08"><day>08</day><month>05</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2026, Informacionnye Tehnologii</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2026, Информационные технологии</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="en">Informacionnye Tehnologii</copyright-holder><copyright-holder xml:lang="ru">Информационные технологии</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/1684-6400/article/view/707315">https://journals.eco-vector.com/1684-6400/article/view/707315</self-uri><abstract xml:lang="en"><p>This paper considers the problem of deploying a computational graph under uncertainty for an example production scheduling problem with time intervals. An estimated level of demand for the product is given for each planning period, and the level of production during time interval t can be used to cover the demand, which may differ for different time periods. The approach proposed in the work allows developing a production program that minimizes the total cost of production, and satisfies demand fully and on time.</p></abstract><trans-abstract xml:lang="ru"><p>Рассматривается проблема построения вычислительного графа в условиях неопределенности для решения задачи планирования производства с временными интервалами. Предложенный в работе подход позволяет разработать такую производственную программу, при которой минимизируется общая себестоимость продукции, а спрос удовлетворяется полностью и своевременно.</p></trans-abstract><kwd-group xml:lang="en"><kwd>computational graph</kwd><kwd>time modeling</kwd><kwd>operation planning</kwd><kwd>uncertainty</kwd><kwd>optimization</kwd><kwd>dynamic planning</kwd><kwd>scheduling</kwd><kwd>recursive relations</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>вычислительный граф</kwd><kwd>временное моделирование</kwd><kwd>планирование операций</kwd><kwd>неопределенность</kwd><kwd>оптимизация</kwd><kwd>динамическое планирование</kwd><kwd>сетевое планирование</kwd><kwd>рекурсивные отношения</kwd></kwd-group><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Министерство транспорта Российской Федерации</institution></institution-wrap><institution-wrap><institution xml:lang="en">Ministry of Transport of the Russian Federation</institution></institution-wrap></funding-source><award-id>103-00001-26-00</award-id></award-group><funding-statement xml:lang="en">This work has been supported by the Ministry of Transport of the Russian Federation under Project #103-00001-26-00 "Development and research of the methodology of intelligent geoinformation modeling of transport processes in conditions of incomplete information".</funding-statement><funding-statement xml:lang="ru">Работа выполнена при поддержке Министерства транспорта Российской Федерации в рамках проекта № 103-00001-26-00 "Разработка и исследование методологии интеллектуального геоинформационного моделирования транспортных процессов в условиях неполноты информации".</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Brucker P., Drex A., Möhring R., Neumann K., Pesch E. 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