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<article article-type="research-article" dtd-version="1.2" xml:lang="ru" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><front><journal-meta><journal-id journal-id-type="issn">2518-1092</journal-id><journal-title-group><journal-title>Научный результат. Информационные технологии</journal-title></journal-title-group><issn pub-type="epub">2518-1092</issn></journal-meta><article-meta><article-id pub-id-type="doi">10.18413/2518-1092-2024-9-3-0-3</article-id><article-id pub-id-type="publisher-id">3557</article-id><article-categories><subj-group subj-group-type="heading"><subject>ИНФОРМАЦИОННЫЕ СИСТЕМЫ И ТЕХНОЛОГИИ</subject></subj-group></article-categories><title-group><article-title>&lt;strong&gt;МАТЕМАТИЧЕСКАЯ МОДЕЛЬ ПРОЦЕССА ДОСТАВКИ ТЕЛЕМЕТРИЧЕСКИХ СООБЩЕНИЙ В СИСТЕМЕ МЕДИЦИНСКОГО ИНТЕРНЕТА ВЕЩЕЙ&lt;/strong&gt;</article-title><trans-title-group xml:lang="en"><trans-title>&lt;strong&gt;MATHEMATICAL MODEL OF THE DELIVERY PROCESS OF TELEMETRY MESSAGES IN THE MEDICAL INTERNET OF THINGS SYSTEM&lt;/strong&gt;</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Махди</surname><given-names>Тарек Нассер</given-names></name><name xml:lang="en"><surname>Mahdi</surname><given-names>Tareq Nasser</given-names></name></name-alternatives><email>tareq.nasser.m@gmail.com</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Польщиков</surname><given-names>Константин Александрович</given-names></name><name xml:lang="en"><surname>Polshchykov</surname><given-names>Konstantin Alexandrovich</given-names></name></name-alternatives><email>polshchikov@bsu.edu.ru</email></contrib></contrib-group><pub-date pub-type="epub"><year>2024</year></pub-date><volume>9</volume><issue>3</issue><fpage>0</fpage><lpage>0</lpage><self-uri content-type="pdf" xlink:href="/media/information/2024/3/НР_ИТ_9_3_3.pdf" /><abstract xml:lang="ru"><p>В настоящее время актуальны исследования и разработки, направленные на повышение оперативности передачи телеметрических сообщений в беспроводных системах удаленного мониторинга, используемых медицинскими работниками для своевременного оказания помощи находящимся под наблюдением пациентам. Техническую основу передачи таких сообщений составляют системы медицинского Интернета вещей. Статья посвящена разработке математической модели процесса доставки телеметрических сообщений в такой системе. В ходе исследования получены аналитические выражения, дающие возможность оценить среднее время доставки сообщений от сенсорного устройства пациента к беспроводному устройству медработника в зависимости от интервалов срабатывания таймеров повторной передачи, установленных в приемо-передающих элементах системы. Полученные результаты позволяют теоретически обосновать выбор значений тайм-аутов повторных передач, обеспечивающий минимизацию среднего времени доставки сообщений при текущем уровне интенсивности битовых ошибок.</p></abstract><trans-abstract xml:lang="en"><p>Currently, research and development are relevant aimed at increasing the efficiency of transmission of telemetry messages in wireless remote monitoring systems used by medical workers to provide timely assistance to patients under observation. The technical basis for transmitting such messages is provided by medical Internet of Things systems. The article is devoted to the development of a mathematical model of the process of delivering telemetric messages in such a system. In the course of the study, analytical expressions were obtained that make it possible to estimate the average delivery time of messages from the patient&amp;rsquo;s sensory device to the healthcare worker&amp;rsquo;s wireless device, depending on the response intervals of the retransmission timers installed in the transmitting and receiving elements of the system. The results obtained allow us to theoretically substantiate the choice of retransmission timeout values that ensure minimization of the average message delivery time at the current level of bit error intensity.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>медицинский Интернет вещей</kwd><kwd>IoMT</kwd><kwd>протокол MQTT-SN</kwd><kwd>телеметрические сообщения</kwd><kwd>задержки доставки</kwd><kwd>таймер повторной передачи</kwd><kwd>битовые ошибки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>medical Internet of things</kwd><kwd>IoMT</kwd><kwd>MQTT-SN protocol</kwd><kwd>telemetry messages</kwd><kwd>delivery delays</kwd><kwd>retransmission timer</kwd><kwd>bit errors</kwd></kwd-group></article-meta></front><back><ref-list><title>Список литературы</title><ref id="B1"><mixed-citation>1.&amp;nbsp; Razdan S., Sharma S. Internet of Medical Things (IoMT): Overview, Emerging Technologies, and Case Studies // IETE Technical Review. &amp;ndash; 2021. &amp;ndash; No. 39(4). 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