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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">20226</article-id><article-id pub-id-type="doi">10.22363/2312-9735-2018-26-4-371-382</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Computer Science</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Информатика и вычислительная техника</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">Computational and Simulation Models of the Control System on Modelica</article-title><trans-title-group xml:lang="ru"><trans-title>Вычислительная и имитационная модели системы с управлением на Modelica</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Apreutesey</surname><given-names>Anne-Marie Yu</given-names></name><name xml:lang="ru"><surname>Апреутесей</surname><given-names>Анна Мария Юрьевна</given-names></name></name-alternatives><bio xml:lang="en"><p>student of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University)</p></bio><bio xml:lang="ru"><p>студент кафедры прикладной информатики и теории вероятностей РУДН</p></bio><email>miphj@rudn.university</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Zavozina</surname><given-names>Anna V</given-names></name><name xml:lang="ru"><surname>Завозина</surname><given-names>Анна Васильевна</given-names></name></name-alternatives><bio xml:lang="en"><p>student of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University)</p></bio><bio xml:lang="ru"><p>студент кафедры прикладной информатики и теории вероятностей РУДН</p></bio><email>miphj@rudn.university</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Korolkova</surname><given-names>Anna V</given-names></name><name xml:lang="ru"><surname>Королькова</surname><given-names>Анна Владиславовна</given-names></name></name-alternatives><bio xml:lang="en"><p>Associate Professor, Candidate of Sciences in Physics and Mathematics, Associate Professor of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University)</p></bio><bio xml:lang="ru"><p>доцент, кандидат физико-математических наук, доцент кафедры прикладной информатики и теории вероятностей РУДН</p></bio><email>miphj@rudn.university</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kulyabov</surname><given-names>Dmitry S</given-names></name><name xml:lang="ru"><surname>Кулябов</surname><given-names>Дмитрий Сергеевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Associate Professor, Doctor of Sciences in Physics and Mathematics, Associate Professor of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University)</p></bio><bio xml:lang="ru"><p>доцент, доктор физико-математических наук, доцент кафедры прикладной информатики и теории вероятностей РУДН</p></bio><email>miphj@rudn.university</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></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><aff-alternatives id="aff2"><aff><institution xml:lang="en">Joint Institute for Nuclear Research</institution></aff><aff><institution xml:lang="ru">Объединённый институт ядерных исследований</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2018-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2018</year></pub-date><volume>26</volume><issue>4</issue><issue-title xml:lang="en">VOL 26, NO4 (2018)</issue-title><issue-title xml:lang="ru">ТОМ 26, №4 (2018)</issue-title><fpage>371</fpage><lpage>382</lpage><history><date date-type="received" iso-8601-date="2018-12-21"><day>21</day><month>12</month><year>2018</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2018, Apreutesey A.Y., Zavozina A.V., Korolkova A.V., Kulyabov D.S.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2018, Апреутесей А.Ю., Завозина А.В., Королькова А.В., Кулябов Д.С.</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="en">Apreutesey A.Y., Zavozina A.V., Korolkova A.V., Kulyabov D.S.</copyright-holder><copyright-holder xml:lang="ru">Апреутесей А.Ю., Завозина А.В., Королькова А.В., Кулябов Д.С.</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/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/20226">https://journals.rudn.ru/miph/article/view/20226</self-uri><abstract xml:lang="en"><p>When modeling network protocols, the choice of a model approach and a software implementation tool is a problem. The specificity of this subject area is that for the description of protocols usually the discrete-event approach is used. However, the discrete model approach has several disadvantages. It is poorly scalable, not well suited for describing dynamic systems. As an alternative to the discrete approach, a continuous approach is usually considered. But when modeling discrete events, continuous description becomes unnecessarily complicated and heavy. Events take the form of some restrictions on the continuous system, which are often not explicitly included in the continuous model, but have the form of additional semantic descriptions. The authors propose to use a hybrid (continuous-discrete) approach when modeling such systems. In the framework of the hybrid approach, the discrete system is recorded in a continuous form, and the events take the form of discrete transitions inherent in the approach. In addition, if it is based on the description of events, a simulation model can be obtained on the basis of a hybrid approach. This paper demonstrates the use of a hybrid approach to describe systems with control by the example of the interaction of the TCP protocol and the RED algorithm. The simplicity of creating both computational and simulation models of the system is demonstrated. The Modelica language is used as the implementation language.</p></abstract><trans-abstract xml:lang="ru"><p>При моделировании сетевых протоколов является проблемой выбор модельного подхода и средства программной реализации. Специфика данной предметной области состоит в том, что для описания протоколов обычно используют дискретно-событийный подход. Однако дискретный модельный подход имеет ряд недостатков. Он плохо масштабируем, недостаточно хорошо подходит для описания динамических систем. Как альтернативу дискретному подходу обычно рассматривают непрерывный подход. Но при моделировании дискретных событий непрерывное описание становится излишне сложным и тяжеловесным. События принимают форму некоторых ограничений на непрерывную систему, которые зачастую не входят явно в непрерывную модель, а имеют форму дополнительных семантических описаний. Авторы предлагают использовать при моделировании подобных систем гибридный (непрерывно-дискретный) подход. В рамках гибридного подхода дискретная система записывается в непрерывном виде, а события принимают вид присущих подходу дискретных переходов. Кроме того, если брать за основу именно описание событий, на основе гибридного подхода можно получить и имитационную модель. В работе демонстрируется применение гибридного подхода для описания системы с управлением на примере взаимодействия протокола TCP и алгоритма RED. Демонстрируется простота создания как вычислительной, так и имитационных моделей системы. В качестве языка реализации используется язык Modelica.</p></trans-abstract><kwd-group xml:lang="en"><kwd>Modelica</kwd><kwd>Random Early Detection (RED)</kwd><kwd>active queue management</kwd><kwd>simulation</kwd><kwd>hybrid modeling</kwd><kwd>Modelica</kwd><kwd>Random Early Detection (RED)</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>активное управление трафиком</kwd><kwd>имитационное моделирование</kwd><kwd>гибридное моделирование</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">S. Floyd, V. Jacobson, Random Early Detection Gateways for Congestion Avoidance, IEEE/ACM Transactions on Networking 1 (4) (1993) 397–413. doi:10.1109/90.251892.</mixed-citation><mixed-citation xml:lang="ru">Floyd S., Jacobson V. 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