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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">Computational nanotechnology</journal-id><journal-title-group><journal-title xml:lang="en">Computational nanotechnology</journal-title><trans-title-group xml:lang="ru"><trans-title>Computational nanotechnology</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2313-223X</issn><issn publication-format="electronic">2587-9693</issn><publisher><publisher-name xml:lang="en">YUR-VAK</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">358395</article-id><article-id pub-id-type="doi">10.33693/2313-223X-2025-12-5-179-189</article-id><article-id pub-id-type="edn">FGRCOP</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>INFORMATICS AND INFORMATION PROCESSING</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>ИНФОРМАТИКА И ИНФОРМАЦИОННЫЕ ПРОЦЕССЫ</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">Prioritization algorithms for restoring damaged critical infrastructure facilities</article-title><trans-title-group xml:lang="ru"><trans-title>Алгоритмы приоритизации при восстановлении поврежденных объектов критических инфраструктур</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4343-5448</contrib-id><contrib-id contrib-id-type="scopus">57205435388</contrib-id><contrib-id contrib-id-type="researcherid">B-5260-2018</contrib-id><contrib-id contrib-id-type="spin">3066-2243</contrib-id><name-alternatives><name xml:lang="en"><surname>Sereda</surname><given-names>Leonid А.</given-names></name><name xml:lang="ru"><surname>Середа</surname><given-names>Леонид Анатольевич</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>researcher, Laboratory No. 49</p></bio><bio xml:lang="ru"><p>научный сотрудник, лаборатория № 49</p></bio><email>sereda@ipu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1607-2143</contrib-id><contrib-id contrib-id-type="scopus">59157949900</contrib-id><contrib-id contrib-id-type="researcherid">ABB-3232-2021</contrib-id><contrib-id contrib-id-type="spin">5046-7409</contrib-id><name-alternatives><name xml:lang="en"><surname>Grebenyuk</surname><given-names>Georgy G.</given-names></name><name xml:lang="ru"><surname>Гребенюк</surname><given-names>Георгий Григорьевич</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Dr. Sci. (Eng.), Senior Researcher, chief researcher, Laboratory No. 49</p></bio><bio xml:lang="ru"><p>доктор технических наук, старший научный сотрудник, главный научный сотрудник, лаборатория № 49</p></bio><email>gggrebenuk@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт проблем управления им. В.А. Трапезникова Российской академии наук</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-12-14" publication-format="electronic"><day>14</day><month>12</month><year>2025</year></pub-date><volume>12</volume><issue>5</issue><fpage>179</fpage><lpage>189</lpage><history><date date-type="received" iso-8601-date="2025-12-16"><day>16</day><month>12</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Yur-VAK</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Юр-ВАК</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Yur-VAK</copyright-holder><copyright-holder xml:lang="ru">Юр-ВАК</copyright-holder><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://www.urvak.ru/contacts/</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rcsi.science/2313-223X/article/view/358395">https://journals.rcsi.science/2313-223X/article/view/358395</self-uri><abstract xml:lang="en"><p>The article is devoted to the development of prioritization algorithms for critical engineering infrastructure facilities repair in order to optimize the process of restoring the resource supply to consumers. Damage caused by external influences of various natures, such as intentional impacts and natural phenomena, is considered. The connected power of consumers (or their number in a simplified case) is considered as a criterion for forming the repair sequence of damaged objects, and their importance is also taken into account. The proposed approach analyzes the topology of engineering infrastructures, considering both the own consequences of failed elements and the complex synergistic consequences of these elements’ failures. The application of the developed algorithms for intentional and natural negative impacts is demonstrated. The restoration sequence generation is illustrated via the example of an electrical network, which is a modified 14-bus IEEE test electrical circuit.</p></abstract><trans-abstract xml:lang="ru"><p>Работа посвящена разработке алгоритмов определения приоритетов ремонта объектов критических инженерных инфраструктур с целью оптимизации процесса восстановления снабжения ресурсом потребителей. Рассматриваются повреждения, вызванные внешними воздействиями различной природы, такими как преднамеренные воздействия и природные явления. В качестве критерия формирования последовательности ремонта поврежденных объектов рассматривается присоединенная мощность потребителей (в упрощенном виде – их количество), а также учитывается их важность. В предлагаемом подходе анализируется топология инженерных инфраструктур, учитываются как собственные последствия отказавших элементов, так и синергетические последствия отказа этих элементов в системе. Демонстрируется применение разработанных алгоритмов при формировании последовательности восстановления повреждений, вызванных преднамеренными и природными воздействиями. Работа алгоритмов иллюстрируется на примере электрической сети, представляющей собой модифицированную тестовую электрическую схему 14 шин IEEE.</p></trans-abstract><kwd-group xml:lang="en"><kwd>engineering resilience</kwd><kwd>critical infrastructure</kwd><kwd>recovery</kwd><kwd>prioritization of repairs</kwd><kwd>topological model</kwd><kwd>synergistic consequences</kwd><kwd>negative impacts</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>инженерная устойчивость</kwd><kwd>критическая инфраструктура</kwd><kwd>восстановление</kwd><kwd>приоритизация ремонтов</kwd><kwd>топологическая модель</kwd><kwd>синергетические последствия</kwd><kwd>негативные воздействия</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">Grebenyuk G. Kalyanov G., Sereda L. Operation sustainability of resource supply enterprises resource supply enterprises resilience management. 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