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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">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">32205</article-id><article-id pub-id-type="doi">10.22363/2658-4670-2022-30-3-244-257</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</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">Development and analysis of models for service migration to the MEC server based on hysteresis approach</article-title><trans-title-group xml:lang="ru"><trans-title>Разработка и анализ моделей гистерезисного управления миграцией сервисов на сервер граничных вычислений</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4246-8483</contrib-id><name-alternatives><name xml:lang="en"><surname>Poluektov</surname><given-names>Dmitry S.</given-names></name><name xml:lang="ru"><surname>Полуэктов</surname><given-names>Д. С.</given-names></name></name-alternatives><bio xml:lang="en"><p>postgraduate student of Department of Applied Probability and Informatics</p></bio><email>poluektov-ds@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2362-3270</contrib-id><name-alternatives><name xml:lang="en"><surname>Khakimov</surname><given-names>Abdukodir A.</given-names></name><name xml:lang="ru"><surname>Хакимов</surname><given-names>А. А.</given-names></name></name-alternatives><bio xml:lang="en"><p>Researcher of Department of Applied Probability and Informatics</p></bio><email>khakimov-aa@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia (RUDN University)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2022-10-05" publication-format="electronic"><day>05</day><month>10</month><year>2022</year></pub-date><volume>30</volume><issue>3</issue><issue-title xml:lang="en">VOL 30, NO3 (2022)</issue-title><issue-title xml:lang="ru">ТОМ 30, №3 (2022)</issue-title><fpage>244</fpage><lpage>257</lpage><history><date date-type="received" iso-8601-date="2022-10-05"><day>05</day><month>10</month><year>2022</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2022, Poluektov D.S., Khakimov A.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2022, Полуэктов Д.С., Хакимов А.А.</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="en">Poluektov D.S., Khakimov A.A.</copyright-holder><copyright-holder xml:lang="ru">Полуэктов Д.С., Хакимов А.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/32205">https://journals.rudn.ru/miph/article/view/32205</self-uri><abstract xml:lang="en"><p style="text-align: justify;">Online video services are among the most popular ways of content consumption. Video hosting servers have a very high load every day, which we propose to reduce by migrating the application with the video content in demand to the local Multi-access Edge Computing (MEC) server of the target. This makes it possible to improve the quality of services (QoS) provided to users by reducing the transmission delay. Therefore, an architecture has been proposed that allows, at times of increased demand for the same video content, to migrate the video service application to the edge servers of the network operator. To evaluate the performance of this approach, a mathematical model was developed in the form of a queuing system. The results of the numerical experiment make it possible to optimize the time of using local MEC servers to provide video content.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">Сервисы онлайн-видео являются одними из самых популярных способов потребления контента. На серверы видео хостинга приходится ежедневно колоссальная нагрузка, которую нами предложено снизить за счёт миграции приложения востребованным видеоконтентом на локальный сервер MEC целевой зоны. Это позволит повысить качество предоставляемых услуг пользователям за счёт сокращения задержки на передачу. Поэтому предложена архитектура, дающая возможность в моменты повышенного спроса на одинаковый видеоконтент производить миграцию приложения видеосервиса на граничные серверы оператора сети. Для оценки показателей эффективности такого подхода была построена математическая модель в виде системы массового обслуживания. Результаты численного эксперимента позволяют произвести оптимизацию времени использования локальных серверов MEC для предоставления видеоконтента.</p></trans-abstract><kwd-group xml:lang="en"><kwd>queuing system</kwd><kwd>service migration</kwd><kwd>MEC</kwd><kwd>Markov process</kwd><kwd>truncated Markov process</kwd><kwd>video content</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>миграция сервисов</kwd><kwd>граничные вычисления</kwd><kwd>MEC</kwd><kwd>марковский процесс</kwd><kwd>онлайн-видео</kwd><kwd>усечённый марковский процесс</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The reported study was funded by RFBR, project number 20-37-90131 (recipient Dmitry Poluektov).</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>A. Khan, M. Othman, S. A. Madani, and S. U. 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