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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">702440</article-id><article-id pub-id-type="doi">10.17587/it.30.617-621</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">Optimization of decision making when controlling in a digitalized system based on a multi-stage block programming procedure</article-title><trans-title-group xml:lang="ru"><trans-title>Оптимизация принятия решений при управлении в цифровизированной системе на основе многоэтапной процедуры блочного программирования</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Gusev</surname><given-names>P. Y.</given-names></name><name xml:lang="ru"><surname>Гусев</surname><given-names>П. Ю.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>PhD, Associate Professor</p></bio><bio xml:lang="ru"><p>канд. техн. наук, доц.</p></bio><email>gusevpvl@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Lvovich</surname><given-names>Ya. E.</given-names></name><name xml:lang="ru"><surname>Львович</surname><given-names>Я. Е.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Dr. Tech. Sc., Professor</p></bio><bio xml:lang="ru"><p>д-р техн. наук, проф.</p></bio><email>ya.lvovich@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Voronezh State Technical University</institution></aff><aff><institution xml:lang="ru">Воронежский государственный технический университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2024</year></pub-date><volume>30</volume><issue>12</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>615</fpage><lpage>621</lpage><history><date date-type="received" iso-8601-date="2026-02-09"><day>09</day><month>02</month><year>2026</year></date><date date-type="accepted" iso-8601-date="2026-02-09"><day>09</day><month>02</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Informacionnye Tehnologii</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Информационные технологии</copyright-statement><copyright-year>2024</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/702440">https://journals.eco-vector.com/1684-6400/article/view/702440</self-uri><abstract xml:lang="en"><p>The article discusses the process of formulating optimization models and a multi-stage decision-making procedure when managing the disaggregation of resources and volumes of activity in a digitalized system with a multi-layer structure. A general formulation of the control optimization problem is given within the framework of the theory of potential efficiency of complex systems. The possibility of transforming the optimal condition for the disaggregation of resources and activity volumes into related block linear programming problems is shown. Optimization models are formulated in which the extreme and boundary requirements of the general formulation of the optimization problem are divided into blocks. In the problem of resource disaggregation, the first block optimization model is based on the requirements of the control environment, supplemented by transfer environments — resource and digital, the second on the requirements of the effective functioning of the activity environment. When disaggregating activity volumes, block optimization models are built in the reverse order. An algorithmic scheme for a multi-stage optimization procedure is proposed that ensures coordination of solutions at two levels: between the blocks of each disaggregation problem, and between tasks. The algorithms of the Dantzig-Wolff and Kornai-Litak methods have been modified by adapting to the peculiarities of decision-making problems when managing a digitalized system with a multilayer structure.</p></abstract><trans-abstract xml:lang="ru"><p>Рассматривается процесс формулирования оптимизационных моделей и многоэтапной процедуры принятия решений при управлении дезагрегацией ресурсов и объемов деятельности в цифровизированной системе с многослойной структурой.</p></trans-abstract><kwd-group xml:lang="en"><kwd>digitalized system</kwd><kwd>management</kwd><kwd>disaggregation of resources and activity volumes</kwd><kwd>optimization</kwd><kwd>block linear programming</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>цифровизированная система</kwd><kwd>управление</kwd><kwd>дезагрегация ресурсов и объемов деятельности</kwd><kwd>оптимизация</kwd><kwd>блочное линейное программирование</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Rykov A. 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