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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">8315</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</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">An Analytical Model of Load Distribution Schemes in LTE Heterogeneous Networks</article-title><trans-title-group xml:lang="ru"><trans-title>Аналитическая модель схем распределения нагрузки в сетях LTE с разнородными узлами связи</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Eﬁmushkina</surname><given-names>T V</given-names></name><name xml:lang="ru"><surname>Ефимушкина</surname><given-names>Татьяна Владимировна</given-names></name></name-alternatives><bio xml:lang="en">Telecommunication Systems Department</bio><bio xml:lang="ru">Кафедра систем телекоммуникаций</bio><email>tveﬁmushkina@gmail</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Samuylov</surname><given-names>K E</given-names></name><name xml:lang="ru"><surname>Самуйлов</surname><given-names>Константин Евгеньевич</given-names></name></name-alternatives><bio xml:lang="en">Telecommunication Systems Department</bio><bio xml:lang="ru">Кафедра систем телекоммуникаций</bio><email>ksam@sci.pfu.edu.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2013-01-15" publication-format="electronic"><day>15</day><month>01</month><year>2013</year></pub-date><issue>1</issue><issue-title xml:lang="en">NO1 (2013)</issue-title><issue-title xml:lang="ru">№1 (2013)</issue-title><fpage>37</fpage><lpage>44</lpage><history><date date-type="received" iso-8601-date="2016-09-08"><day>08</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="ru">Copyright ©; 2013, Ефимушкина Т.В., Самуйлов К.Е.</copyright-statement><copyright-year>2013</copyright-year><copyright-holder xml:lang="ru">Ефимушкина Т.В., Самуйлов К.Е.</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/8315">https://journals.rudn.ru/miph/article/view/8315</self-uri><abstract xml:lang="en">The resource allocation problem in Orthogonal Frequency Division Multiple Access relay-enhanced heterogeneous cellular networks is studied. An analytical model of the downlink channel in discrete time is suggested. We derive and analyze various resource allocation algorithms. In order to evaluate the role of diﬀerent resource allocation schemes we obtain blocking probabilities and other performance metrics of interest.</abstract><trans-abstract xml:lang="ru">Проведено исследование технологии беспроводного доступа LTE на основе ортогонального частотного мультиплексирования OFDM. Разработана и проанализирована аналитическая модель функционирования гетерогенной сети LTE для нисходящего канала. Получены формулы для основных ВВХ функционирования модели гетерогенной сети.</trans-abstract><kwd-group xml:lang="en"><kwd>LTE-Advanced</kwd><kwd>OFDMA</kwd><kwd>relay station</kwd><kwd>analytical model</kwd><kwd>performance metrics</kwd><kwd>LTE-Advanced</kwd><kwd>OFDMA</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>ретрансляционная станция</kwd><kwd>аналитическая модель</kwd><kwd>вероятностно-временные характеристики</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Long Term Evolution (LTE): Overview of LTE Air-Interface. White Paper. — Motorola, 2007.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>REPORT ITU-R M.2134. Requirements Related to Technical Performance for IMT-Advanced Radio Interface(s). — 2008.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Wang L. 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