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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">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">kaz29-266</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>ИНФОКОММУНИКАЦИОННЫЕ СЕТИ И КИБЕРБЕЗОПАСНОСТЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFOCOMMUNICATION NETWORKS AND CYBERSECURITY</subject></subj-group></article-categories><title-group><article-title>СРАВНИТЕЛЬНЫЙ АНАЛИЗ МАТЕМАТИЧЕСКИХ МОДЕЛЕЙ ТРАФИКА М2М</article-title><trans-title-group xml:lang="en"><trans-title>COMPARATIVE ANALYSIS OF MATHEMATICAL MODELS OF M2M TRAFFIC</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мухамеджанова</surname><given-names>А. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Mukhamejanova</surname><given-names>A. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>докторант</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Туманбаева</surname><given-names>К. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Tumanbayeva</surname><given-names>К. К.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к. т. н., профессор</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Алматинский университет энергетики и связи<country>Казахстан</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>14</day><month>11</month><year>2021</year></pub-date><volume>16</volume><issue>3</issue><fpage>150</fpage><lpage>156</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мухамеджанова А.Д., Туманбаева К.Х., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Мухамеджанова А.Д., Туманбаева К.Х.</copyright-holder><copyright-holder xml:lang="en">Mukhamejanova A.D., Tumanbayeva К.К.</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://vestnik.kbtu.edu.kz/jour/article/view/266">https://vestnik.kbtu.edu.kz/jour/article/view/266</self-uri><abstract><p>Число соединений в виде межмашинного взаимодействия или соединений «машина с машиной» (M2M) в сети мобильной связи стремительно возрастает. Растущий М2М трафик оказывает существенное влияние на качество обслуживания пользователей в мобильных сетях связи и на процессы их эксплуатации. Кроме того в экстремальных случаях (стихийные бедствия, пожары) одновременное срабатывание активных М2М-устройств приводит к всплеску трафика в сети. Для определения эффективных характеристик сети, оценки параметров качества обслуживания (QoS) в сети мобильной связи и оценки использования ресурсов сети необходимо применить математическое моделирование. При этом важную роль играет разработка математической модели трафика М2М. В работе сделан сравнительный анализ разработанных моделей трафика. Рассмотрены два подхода к моделированию трафика М2М: разработка модели агрегированного трафика от всех М2М-устройств и разработка модели трафика М2М-устройств с учетом его типа, характеристик и функций. Рассмотрены модели трафиков, разработанных для конкретных сетей мобильной связи т(LTE, 5G). При моделировании трафика М2М используются методы теории массового обслуживания. В рассмотренных работах поток заявок, поступающих в систему массового обслуживания (СМО), рассматривается как MMPP (Markov Modulated Poisson Process), пуассоновский поток, в котором заявки образуют «кластеры». Для наглядной интерпретации особенностей поведения трафика в пакетных сетях в некоторых работах выбрано моделирование трафика типа ON/OFF, который ис­пользован при описании пульсирующей структуры трафика. Выявлены преимущества и недостатки каждого из рассмотренных методов моделирования трафика М2М.</p></abstract><trans-abstract xml:lang="en"><p>The number of machine-to-machine (M2M) connections in the mobile network is increasing rapidly. The growing M2M traffic has a significant impact on the quality of user service in mobile networks and on the processes of their operation. In addition, in extreme cases (natural disasters, fires), simultaneous operation of active M2M devices leads to a surge of traffic in the network. To determine the effective characteristics of the network, assess the quality of service (QoS) parameters in the mobile network, and assess the use of network resources, you must apply mathematical modeling. An important role is played by the development of a mathematical model of M2M traffic. The paper presents a comparative analysis of the developed traffic models. Two approaches to modeling M2M traffic are considered: the development of a model of aggregated traffic from all M2M devices and the development of a traffic model of M2M devices taking into account its type, characteristics and functions. Traffic models developed for specific mobile networks (LTE, 5G) are considered. When modeling M2M traffic, methods of Queuing theory are used. In the considered works, the flow of applications to the Queuing system (QS) is considered as MMPP (Markov Modulated Poisson Process), a Poisson flow in which applications form “clusters”. For a visual interpretation of the features of the behavior of traffic in packet networks in some works, the modeling of traffic type ON/OFF, which is used in the description of the pulsating traffic structure, is chosen. The advantages and disadvantages of each of the considered methods of modeling M2M traffic are revealed.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>межмашинное взаимодействие</kwd><kwd>М2М трафик</kwd><kwd>устройство</kwd><kwd>мобильная сеть</kwd><kwd>математическая модель</kwd><kwd>имитационная модель</kwd><kwd>качество обслуживания</kwd></kwd-group><kwd-group xml:lang="en"><kwd>machine-to-machine interaction</kwd><kwd>М2М traffic</kwd><kwd>device</kwd><kwd>mobile network</kwd><kwd>mathematical model</kwd><kwd>simulation model</kwd><kwd>quality of service</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Tikhvinsky V. O., Bochechka G. S., Nurgozhin B. S., Aitmagambetov A. Z. 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