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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">10.21822/2073-6185-2025-52-3-86-94</article-id><article-id custom-type="elpub" pub-id-type="custom">vdgtu-1842</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>Асимметричные S-кривые для прогнозирования динамики распространения новых технологий</article-title><trans-title-group xml:lang="en"><trans-title>Asymmetric S-curves for predicting the dynamics of new technology diffusion</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2621-3680</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мандрик</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Mandrik</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Антон Викторович Мандрик - старший преподаватель Высшей школы проектной деятельности и инноваций в промышленности, Институт машиностроения, материалов и транспорта.</p><p>1195251, Санкт-Петербург, ул. Политехническая, д. 29 литера Б</p></bio><bio xml:lang="en"><p>Anton V. Mandrik - Senior Lecturer, Higher School of Project Activity and Industrial Innovation, Institute of Mechanical Engineering, Materials, and Transport.</p><p>129 Politekhnicheskaya St., Building B, St. Petersburg 195251</p></bio><email xlink:type="simple">mandryk.av@spbstu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0897-8690</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Глуханов</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Glukhanov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Сергеевич Глуханов - кандидат технических наук, доцент, доцент кафедры «Техносферная безопасность».</p><p>2190005, Санкт-Петербург, 2-я Красноармейская ул., д. 4</p></bio><bio xml:lang="en"><p>Alexander S. Glukhanov - Сand. Sci. (Eng.), Assoc. Prof., Assoc. Prof., Department of Technosphere Safety.</p><p>2 4 2-ya Krasnoarmeyskaya St., St. Petersburg 190005</p></bio><email xlink:type="simple">promo19_78@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский политехнический университет Петра Великого</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Peter the Great St. Petersburg Polytechnic University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный архитектурно-строительный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg State University of Architecture and Civil Engineering</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>10</day><month>11</month><year>2025</year></pub-date><volume>52</volume><issue>3</issue><fpage>86</fpage><lpage>94</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мандрик А.В., Глуханов А.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Мандрик А.В., Глуханов А.С.</copyright-holder><copyright-holder xml:lang="en">Mandrik A.V., Glukhanov A.S.</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/1842">https://vestnik.dgtu.ru/jour/article/view/1842</self-uri><abstract><sec><title>Цель</title><p>Цель. Цель исследования заключается в разработке нового метода расчета динамики распространения новой технологии с применением асимметричных s-кривых, учитывающего взаимодействие обмен информацией об успешности внедрения новой технологии между активными и потенциальными пользователями новой технологии.</p></sec><sec><title>Метод</title><p>Метод. Используются методы математического анализа, теории вероятностей, разрабатывается новый математический аппарат на основе рекуррентных методов расчета, результаты расчета подтверждаются имитационной моделью. Оценка работоспособности разработанных методов производится посредством сравнения прогнозируемых значений с реальными данными о динамике распространения новой технологии.</p></sec><sec><title>Результат</title><p>Результат. В работе произведена оценка точности прогноза, а также произведен анализ необходимого соотношения между объемом анализируемых данных и точности прогноза роста доли активных пользователей. Предлагаемый метод позволяет также оценить интенсивность взаимодействия между потребителями новой технологии.</p></sec><sec><title>Вывод</title><p>Вывод. Полученные результаты могут быть использованы для повышения точности прогнозирования динамики внедрения новых технологий на рынке. Это достигается путем применения рекуррентных уравнений, предназначенных для расчета коэффициента, отражающего интенсивность взаимодействия между пользователями. Использование данных уравнений позволяет более детально оценить влияние межличностных связей на распространение инноваций.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objective</title><p>Objective. The objective of the study is to develop a new method for calculating the dynamics of new technology diffusion using asymmetric s-curves that takes into account the interaction and exchange of information on the success of new technology implementation between active and potential users of the new technology.</p></sec><sec><title>Method</title><p>Method. The methods of mathematical analysis and probability theory are used, a new mathematical apparatus is developed based on recurrent calculation methods, the calculation results are confirmed by a simulation model. The performance of the developed methods is assessed by comparing the predicted values with real data on the dynamics of new technology diffusion.</p></sec><sec><title>Result</title><p>Result. The paper assesses the accuracy of the forecast, and also analyzes the required relationship between the volume of analyzed data and the accuracy of the forecast for the growth in the share of active users. The proposed method also allows us to estimate the intensity of interaction between consumers of the new technology.</p></sec><sec><title>Conclusion</title><p>Conclusion. The results obtained can be used to improve the accuracy of forecasting the dynamics of new technology implementation on the market. This is achieved through the use of recurrent equations designed to calculate the coefficient reflecting the intensity of interaction between users. The use of these equations allows for a more detailed assessment of the impact of interpersonal relationships on the diffusion of innovations.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>s-кривые</kwd><kwd>s-образные кривые</kwd><kwd>прогнозирование распространения инноваций</kwd><kwd>рекуррентное соотношение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>s-curves</kwd><kwd>s-shaped curves</kwd><kwd>forecasting the spread of innovations</kwd><kwd>recurrence relation</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">Rogers, E.M. Diffusion of innovation (4th ed.) New York: The free press, 1995</mixed-citation><mixed-citation xml:lang="en">Rogers, E.M. Diffusion of innovation (4th ed.) New York: The free press, 1995.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Donald N. 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