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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">ntv</journal-id><journal-title-group><journal-title xml:lang="ru">Научно-технический вестник информационных технологий, механики и оптики</journal-title><trans-title-group xml:lang="en"><trans-title>Scientific and Technical Journal of Information Technologies, Mechanics and Optics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-1494</issn><issn pub-type="epub">2500-0373</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2226-1494-2022-22-6-1178-1186</article-id><article-id custom-type="elpub" pub-id-type="custom">ntv-352</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>КОМПЬЮТЕРНЫЕ СИСТЕМЫ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>COMPUTER SCIENCE</subject></subj-group></article-categories><title-group><article-title>Мультиагентная адаптивная маршрутизация агентами-клонами на основе многоголового внутреннего внимания с использованием обучения с подкреплением</article-title><trans-title-group xml:lang="en"><trans-title>Multi-agent adaptive routing by multi-head-attention-based twin agents using reinforcement learning</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1151-3405</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Грибанов</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Gribanov</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Грибанов Тимофей Александрович – студент</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Timofey A. Gribanov – Student</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">t.hrybanau@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1133-8432</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фильченков</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Filchenkov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Фильченков Андрей Александрович – кандидат физико-математических наук, инженер</p><p>Санкт-Петербург, 197101</p><p>sc 55507568200</p></bio><bio xml:lang="en"><p>Andrey A. Filchenkov – PhD (Physics &amp; Mathematics), Engineer</p><p>Saint Petersburg, 197101</p><p>sc 55507568200</p></bio><email xlink:type="simple">afilchenkov@itmo.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/0000-0003-3240-597X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Азаров</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Azarov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Азаров Артур Александрович – кандидат технических наук, научный сотрудник; заместитель директора</p><p>Санкт-Петербург, 197101;</p><p>Санкт-Петербург, 199178</p><p>sc 56938354700</p></bio><bio xml:lang="en"><p>Artur A. Azarov – PhD, Scientific Researcher; Deputy Director</p><p>Saint Petersburg, 197101;</p><p>Saint Petersburg, 199178</p><p>sc 56938354700</p></bio><email xlink:type="simple">artur-azarov@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2723-2077</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шалыто</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Shalyto</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шалыто Анатолий Абрамович – доктор технических наук, профессор, главный научный сотрудник</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Anatoly A. Shalyto – D. Sc., Professor, Chief Reseacher</p><p>Saint Petersburg, 197101</p><p>sc 56131789500</p></bio><email xlink:type="simple">shalyto@mail.ifmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Университет ИТМО; Северо-Западный институт управления – филиал РАНХиГС</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University; North-West Institute of Management – branch of the Russian Presidential Academy of National Economy and Public Administration</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>19</day><month>12</month><year>2024</year></pub-date><volume>22</volume><issue>6</issue><fpage>1178</fpage><lpage>1186</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Грибанов Т.А., Фильченков А.А., Азаров А.А., Шалыто А.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Грибанов Т.А., Фильченков А.А., Азаров А.А., Шалыто А.А.</copyright-holder><copyright-holder xml:lang="en">Gribanov T.A., Filchenkov A.A., Azarov A.A., Shalyto 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://ntv.elpub.ru/jour/article/view/352">https://ntv.elpub.ru/jour/article/view/352</self-uri><abstract><sec><title>Предмет исследования</title><p>Предмет исследования. Регулярным условием, характерным для пакетной маршрутизации, а также задач транспортировки грузов и управления потоками, является изменчивость графа, на котором осуществляется маршрутизация. Это условие учитывают алгоритмы адаптивной маршрутизации, использующие обучение с подкреплением. Однако при значительных изменениях графа существующим алгоритмам маршрутизации требуется полное переобучение.</p></sec><sec><title>Метод</title><p>Метод. Предложен новый метод, основанный на мультиагентном моделировании с агентами-клонами, с использованием новой архитектуры нейронной сети с многоголовым внутренним вниманием, которая предобучена в рамках парадигмы обучения с нескольких взглядов. Агент в такой парадигме использует вершину как вход, а его клоны помещены в вершины графа и осуществляют выбор соседа, которому следует передать объект. Основные результаты. Выполнен сравнительный анализ с существующим алгоритмом мультиагентной маршрутизации DQN-LE-routing по следующим этапам: предобучение и симуляция. Для каждого этапа рассмотрены запуски с помощью изменения топологии в процессе тестирования или симуляции. Эксперименты показали, что предложенный метод повышения адаптивности обеспечивает глобальную адаптивность, увеличивая время доставки при глобальных изменениях не более чем на 14,5 % от оптимального.</p></sec><sec><title>Практическая значимость</title><p>Практическая значимость. Предложенный метод может быть использован для решения задач маршрутизации со сложными функциями оценки пути и динамически меняющимися топологиями графов, например, в транспортной логистике и для управления конвейерными лентами на производстве.</p></sec></abstract><trans-abstract xml:lang="en"><p>A regular condition, typical for packet routing, for the problem of cargo transportation, and for the problem of flow control, is the variability of the graph. Reinforcement learning based adaptive routing algorithms are designed to solve the routing problem with this condition. However, with significant changes in the graph, the existing routing algorithms require complete retraining. To handle this challenge, we propose a novel method based on multi-agent modeling with twin-agents for which new neural network architecture with multi-headed internal attention is proposed, pre-trained within the framework of the multi-view learning paradigm. An agent in such a paradigm uses a vertex as an input, twins of the main agent are placed at the vertices of the graph and select a neighbor to which the object should be transferred. We carried out a comparative analysis with the existing DQN-LE-routing multi-agent routing algorithm on two stages: pre-training and simulation. In both cases, launches were considered by changing the topology during testing or simulation. Experiments have shown that the proposed adaptability enhancement method provides global adaptability by increasing delivery time only by 14.5 % after global changes occur. The proposed method can be used to solve routing problems with complex path evaluation functions and dynamically changing graph topologies, for example, in transport logistics and for managing conveyor belts in production.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>маршрутизация</kwd><kwd>мультиагентное обучение</kwd><kwd>обучение с подкреплением</kwd><kwd>адаптивная маршрутизация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>routing</kwd><kwd>multi-agent learning</kwd><kwd>reinforcement learning</kwd><kwd>adaptive routing</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счет гранта Российского научного фонда (проект № 20-19-00700).</funding-statement><funding-statement xml:lang="en">The study was supported by the grant from the Russian Science Foundation (project № 20-19-00700).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Toth P., Vigo D. 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