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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">firesmi</journal-id><journal-title-group><journal-title xml:lang="ru">Пожаровзрывобезопасность/Fire and Explosion Safety</journal-title><trans-title-group xml:lang="en"><trans-title>Pozharovzryvobezopasnost/Fire and Explosion Safety</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7493</issn><issn pub-type="epub">2587-6201</issn><publisher><publisher-name>ФГБОУ ВО «Национальный исследовательский Московский государственный строительный университет»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18322/pvb.2018.27.6.18-30</article-id><article-id custom-type="elpub" pub-id-type="custom">firesmi-681</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>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ, ЧИСЛЕННЫЕ МЕТОДЫ И КОМПЛЕКСЫ ПРОГРАММ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL MODELING, NUMERICAL METHODS AND PROGRAM COMPLEXES</subject></subj-group></article-categories><title-group><article-title>Модели оптимального распределения кадровых ресурсов противопожарной службы на основе типологизации территорий по пожарным рискам</article-title><trans-title-group xml:lang="en"><trans-title>Models of optimal allocation of fire service human resources on the basis of territories fire risks typology</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>Минаев</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Minaev</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, профессор, заслуженный работник высшей школы РФ, ведущий научный сотрудник Учебно-научного центра "Безопасность"</p><p>105005, г.Москва, ул. 2-я Бауманская, 5, стр. 1</p></bio><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor, Honoured Worker of Higher School of Russian Federation, Leading Researcher of Educational and Scientific Center "Security"</p><p>2-ya Baumanskaya St., 5/1, Moscow, 105005</p></bio><email xlink:type="simple">m1va@yandex.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>Топольский</surname><given-names>Н. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Topolskiy</surname><given-names>N. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, профессор, заслуженный деятель науки РФ, профессор кафедры информационных технологий</p><p>129366, г. Москва, ул. Бориса Галушкина, 4</p></bio><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor, Honoured Scientist of Russian Federation, Professor of Information Technologies Department </p><p>Borisa Galushkina St., 4, Moscow, 129366</p></bio><email xlink:type="simple">ntopolskii@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коробец</surname><given-names>Б. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Korobets</surname><given-names>B. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, доцент, проректор</p></bio><bio xml:lang="en"><p>Doctor of Technical Sciences, Docent, Vice-Rector</p><p>2-ya Baumanskaya St., 5/1, Moscow, 105005</p></bio><email xlink:type="simple">korobetz@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>Дао Ань Туан</surname><given-names>.</given-names></name><name name-style="western" xml:lang="en"><surname>Dao Anh Tuan</surname><given-names>.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Заместитель начальника кафедры пожарной тактики. Институт пожарной безопасности</p></bio><bio xml:lang="en"><p>Deputy Chief of the Fire Tactics Department, Fire Safety Institute of the Public Safety</p><p>Huat Zuyu Tyen St., 243, Tkhan Suan Area, Hanoi, 100000</p></bio><email xlink:type="simple">tuan_pccc@yahoo.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>МГТУ им. Н. Э. Баумана</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Bauman Moscow State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Академия ГПС МЧС России</institution><country>Россия</country></aff><aff xml:lang="en"><institution>State Fire Academy of Emercom of Russia</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Министерство общественной безопасности Социалистической Республики Вьетнам</institution><country>Вьетнам</country></aff><aff xml:lang="en"><institution>Ministry of the Socialist Republic of Vietnam</institution><country>Viet Nam</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>03</day><month>10</month><year>2018</year></pub-date><volume>27</volume><issue>6</issue><fpage>18</fpage><lpage>30</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Минаев В.А., Топольский Н.Г., Коробец Б.Н., Дао Ань Туан .., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Минаев В.А., Топольский Н.Г., Коробец Б.Н., Дао Ань Туан ..</copyright-holder><copyright-holder xml:lang="en">Minaev V.A., Topolskiy N.G., Korobets B.N., Dao Anh Tuan ..</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://www.fire-smi.ru/jour/article/view/681">https://www.fire-smi.ru/jour/article/view/681</self-uri><abstract><p>Рассматривается решение взаимосвязанных задач: оценка интегральных пожарных рисков; типологизация территорий по состоянию пожарной обстановки на основе кластерного анализа; оптимальное распределение кадровых ресурсов противопожарной службы по территориальным кластерам, которое базируется на принципах теории активных систем. Исследование проведено на материалах Вьетнама. При решении задачи типологизации учтен комплекс факторов, отражающих экономические, социальные, демографические, климатические показатели, а также показатели, учитывающие процессы урбанизации, электрификации, развития торговли и транспорта, обеспеченность противопожарных служб персоналом и техническими средствами, характеристики пожаров и борьбы с пожарами. Задача типологизации провинций Вьетнама по характеристикам пожарной опасности решалась с помощью статистического программного пакета Statistica 12. Исследованы удельные показатели деятельности противопожарной службы в зависимости от реальной нагрузки на пожарных. Сформирован комплексный удельный показатель, который учитывает число как погибших, так и травмированных на пожарах и на основе которого построена целевая функция территориальных противопожарных служб и системная целевая функция, отражающие эффективность использования кадровых ресурсов. Найдены аналитические зависимости для оптимального распределения кадровых ресурсов по кластерам.</p></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The article is devoted to solving the interrelated problems of assessing the territorial situation of fires based on the approaches of the integral fire risks theory, the typology of territories on fire situation based on cluster analysis, the optimal distribution of human resources of the fire service in territorial clusters. The optimal distribution is based on the principles of the active systems theory.</p></sec><sec><title>Methods</title><p>Methods. The study was conducted on the materials ofVietnam as a rapidly developing country with a fire situation that is complicated over time and has significant territorial differences. When solving the problem of typology takes into account the complex of factors reflecting economic, social, demographic, climatic indicators as well as indicators that account for the processes of urbanization, electrification, the development of trade and transport, provision of fire services personnel and technical means, characteristics of fires and fire fighting. The problem of typologization ofVietnam’s provinces on characteristics of fire danger is given and its solution with the help of statistical software package Statistica 12 is found. An algorithm for solving the problem of territories typology by complex characteristics of fire danger is presented.</p></sec><sec><title>Results</title><p>Results. The selected clusters satisty three conditions: compact location inVietnam; similarity of socio-economic conditions and fire situation; similarity of their forces and means parameters. Specific performance indicators of fire service depending on the actual load on firefighter were investigated.</p></sec><sec><title>Discussion</title><p>Discussion. The complex specific indicator is formed, taking into account both the dead and injured in fires, which explains 82 % of the statistical data. Based on this indicator the goal function of territorial fire services and system target function that reflect efficiency of use of human resources is offered. Analytical dependences for the optimal distribution of human resources in clusters are found.</p></sec><sec><title>Conclusions</title><p>Conclusions. Computational experiments have shown that the use of the human resources optimal allocation method developed in the article would reduce the complex specific indicator of the number of deaths and injuries in fires by about 10 12 % compared to the real situation.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>управление</kwd><kwd>кадровые ресурсы</kwd><kwd>противопожарная служба</kwd><kwd>моделирование</kwd><kwd>оптимизация</kwd><kwd>типологизация</kwd><kwd>кластерный анализ</kwd><kwd>пожарный риск</kwd></kwd-group><kwd-group xml:lang="en"><kwd>management</kwd><kwd>human resources</kwd><kwd>fire service</kwd><kwd>modeling</kwd><kwd>optimization</kwd><kwd>typology</kwd><kwd>cluster analysis</kwd><kwd>fire risk</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">Негреева В. В., Чан Тхань Туан. Экономическое развитие Вьетнама // Научный журнал НИУ ИТМО. 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