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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">dan</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады Национальной академии наук Беларуси</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady of the National Academy of Sciences of Belarus</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8323</issn><issn pub-type="epub">2524-2431</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-8323-2018-62-2-147-150</article-id><article-id custom-type="elpub" pub-id-type="custom">dan-501</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>ИНФОРМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATICS</subject></subj-group></article-categories><title-group><article-title>АБСОЛЮТНАЯ УСТОЙЧИВОСТЬ В ЗАДАЧАХ ОПТИМАЛЬНОГО ВЫБОРА С ФИКСИРОВАННЫМ ПРОШЛЫМ</article-title><trans-title-group xml:lang="en"><trans-title>ABSOLUTE ROBUSTNESS FOR OPTIMAL SELECTION PROBLEMS WITH FIXED PAST</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>Ковалев</surname><given-names>М. Я.</given-names></name><name name-style="western" xml:lang="en"><surname>Kovalyov</surname><given-names>M. Ya.</given-names></name></name-alternatives><bio xml:lang="ru"><p>член-корреспондент, д-р физ.-мат. наук, профессор, заместитель генерального директора по научной работе</p></bio><bio xml:lang="en"><p>Corresponding Member, D. Sc. (Physics and Mathematics), Professor, Deputy General Director for Research</p></bio><email xlink:type="simple">kovalyov_my@newman.bas-net.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Объединенный институт проблем информатики Национальной академии наук Беларуси, Минск</institution></aff><aff xml:lang="en"><institution>United Institute of Informatics Problems of the National Academy of Sciences of Belarus</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>20</day><month>05</month><year>2018</year></pub-date><volume>62</volume><issue>2</issue><fpage>147</fpage><lpage>150</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ковалев М.Я., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Ковалев М.Я.</copyright-holder><copyright-holder xml:lang="en">Kovalyov M.Y.</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://doklady.belnauka.by/jour/article/view/501">https://doklady.belnauka.by/jour/article/view/501</self-uri><abstract><p>Описывается новый подход к решению задач оптимального выбора в условиях динамической неопределенности, называемый абсолютной устойчивостью с фиксированным прошлым. Предлагается эффективный алгоритм решения основной задачи и некоторых ее вариантов. Подход может быть использован для решения других задач комбинаторной оптимизации в условиях динамической неопределенности.</p></abstract><trans-abstract xml:lang="en"><p>A novel approach to solving optimal selection problems under dynamic uncertainty is described. The approach is called absolute robustness with fixed past. An efficient algorithm is presented for the main problem and several its variants. The approach can be employed for solving other combinatorial optimization problems under dynamic uncertainty.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>исследование операций</kwd><kwd>математическое программирование</kwd><kwd>устойчивость</kwd><kwd>полиномиальный алгоритм</kwd></kwd-group><kwd-group xml:lang="en"><kwd>operations research</kwd><kwd>mathematical programming</kwd><kwd>robustness</kwd><kwd>polynomial algorithm</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">Robust algorithms and price of robustness in shunting problems / S. Cicerone [et al.] // Proceedings of the 7th workshop on algorithmic approaches for transportation modeling, optimization, and systems (ATMOS07). – Berlin, 2007. – P. 175–190.</mixed-citation><mixed-citation xml:lang="en">Cicerone S., D’Angelo G., Stefano G. D., Frigioni D., Navarra A. 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