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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">vdgtu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Дагестанского государственного технического университета. Технические науки</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of Dagestan State Technical University. Technical Sciences</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6185</issn><issn pub-type="epub">2542-095X</issn><publisher><publisher-name>Daghestan State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21822/2073-6185-2025-52-1-113-121</article-id><article-id custom-type="elpub" pub-id-type="custom">vdgtu-1705</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>ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И ТЕЛЕКОММУНИКАЦИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION TECHNOLOGY AND TELECOMMUNICATIONS</subject></subj-group></article-categories><title-group><article-title>Оценивание вероятности доставки сообщений в IoМT-системе</article-title><trans-title-group xml:lang="en"><trans-title>Estimating the probability of messages delivery in an IoT system</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>Польщиков</surname><given-names>К. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Polshchykov</surname><given-names>K. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Польщиков Константин Александрович, доктор технических наук, доцент, профессор кафедры информационных и робототехнических систем,</p><p>308015, г. Белгород, ул. Победы, 85</p></bio><bio xml:lang="en"><p>Konstantin A. Polshchykov, Dr. Sci. (Eng), Prof., Assoc. Prof., Prof., Department of Information and Robotic Systems,</p><p>85 Pobeda St., Belgorod 308015</p></bio><email xlink:type="simple">polshchykov@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Махди</surname><given-names>Т. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Mahdi</surname><given-names>T. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Махди Тарек Нассер, аспирант кафедры прикладной информатики и информационных технологий,</p><p>308015, г. Белгород, ул. Победы, 85</p></bio><bio xml:lang="en"><p>Mahdi Tarek Nasser, Graduate student, Department of Applied Informatics and Information Technologies,</p><p>85 Pobeda St., Belgorod 308015</p></bio><email xlink:type="simple">tareq.nasser.m@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белгородский государственный национальный исследовательский университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Belgorod National Research University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>18</day><month>04</month><year>2025</year></pub-date><volume>52</volume><issue>1</issue><fpage>113</fpage><lpage>121</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Польщиков К.А., Махди Т.Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Польщиков К.А., Махди Т.Н.</copyright-holder><copyright-holder xml:lang="en">Polshchykov K.A., Mahdi T.N.</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.dgtu.ru/jour/article/view/1705">https://vestnik.dgtu.ru/jour/article/view/1705</self-uri><abstract><sec><title>Цель</title><p>Цель. Целью исследования является разработка модели для оценивания вероятности доставки сообщений в системе Интернета вещей медицинского назначения (IoМT-системе) и исследования зависимости этой величины от числа повторных передач, применяемых для восполнения искаженных или потерянных телеметрических данных.</p></sec><sec><title>Метод</title><p>Метод. Передача телеметрических сообщений осуществляется в соответствии с протоколом MQTT-SN. Доставка сообщений выполняется с использованием сервера как устройства-посредника, к которому подключаются устройства-клиенты, т.е. сенсорные устройства, передающие измеряемые данные, и беспроводные устройства медработников, принимающие эти данные. Для разработки модели доставки сообщений предложено применение аппарата вероятностных графов. Проверка адекватности модели выполнялась на основе проведения вычислительных экспериментов.</p></sec><sec><title>Результат</title><p>Результат. Разработана математическая модель процесса доставки телеметрических сообщений в IoМT-системе, которая адекватно отражает зависимость вероятности доставки сообщений от характеристик беспроводных каналов, параметров передаваемых пакетов и подтверждений, а также разрешенного числа повторных передач.</p></sec><sec><title>Вывод</title><p>Вывод. Результаты вычислительных экспериментов, выполненных на основе применения разработанной модели, показали, что модель может быть использована для оценивания вероятности доставки сообщения в системе Интернета вещей медицинского назначения. Применение модели предоставляет возможность выбрать теоретически обоснованные значения допустимого числа повторных передач, устанавливаемого для достижения требуемых значений вероятности доставки сообщений в условиях текущего уровня интенсивности битовых ошибок в беспроводных каналах.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objective</title><p>Objective. The aim of the study is to develop a model for estimating the probability of message delivery in a medical Internet of Things (IoMT) system and to study the dependence of this value on the number of retransmissions used to compensate for distorted or lost telemetry data.</p></sec><sec><title>Method</title><p>Method. The transmission of telemetry messages is carried out in accordance with the MQTT-SN protocol. Message delivery is performed using the server as an intermediary device to which client devices connect, i.e. sensor devices that transmit measured data, and wireless devices for healthcare workers that receive this data. To develop a message delivery model, it is proposed to use the apparatus of probabilistic graphs. The adequacy of the model was verified based on computational experiments.</p></sec><sec><title>Result</title><p>Result. A mathematical model of the process of delivering telemetry messages in an IoT system has been developed, which adequately reflects the dependence of the probability of message delivery on the characteristics of wireless channels, parameters of transmitted packets and acknowledgments, as well as the allowed number of retransmissions.</p></sec><sec><title>Conclusion</title><p>Conclusion. The model can be used to estimate the probability of message delivery in the medical Internet of Things system. The use of the model makes it possible to select theoretically justified values of the permissible number of retransmissions, established to achieve the required values of message delivery probability under the current level of bit error rate in wireless channels.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>IoМT</kwd><kwd>протокол MQTT-SN</kwd><kwd>сенсорное устройство</kwd><kwd>вероятность доставки телеметрических сообщений</kwd><kwd>повторные передачи</kwd><kwd>BER</kwd></kwd-group><kwd-group xml:lang="en"><kwd>IoT</kwd><kwd>MQTT-SN protocol</kwd><kwd>sensor device</kwd><kwd>telemetry message delivery probability</kwd><kwd>retransmissions</kwd><kwd>BER</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">Wang N., He J., Xiang S., Yang J. 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