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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">madi</journal-id><journal-title-group><journal-title xml:lang="ru">Автомобиль. Дорога. Инфраструктура. = Avtomobil'. Doroga. Infrastruktura.</journal-title><trans-title-group xml:lang="en"><trans-title>Avtomobil'. Doroga. Infrastruktura.</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2409-7217</issn><publisher><publisher-name>МАДИ</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">madi-1308</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>2.9.9. Логистические транспортные системы</subject></subj-group></article-categories><title-group><article-title>Решение задачи транспортного планирования путем формирования маршрутов модифицированным муравьиным алгоритмом  при внедрении стохастических популяций</article-title><trans-title-group xml:lang="en"><trans-title>Solving the transport planning problem by generating routes using  a modified ant algorithm when introducing stochastic populations</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-8051-840X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Асманов</surname><given-names>Иван Алексеевич</given-names></name><name name-style="western" xml:lang="en"><surname>Asmanov</surname><given-names>Ivan A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>студент</p></bio><bio xml:lang="en"><p>student</p></bio><email xlink:type="simple">Asmanovvvvv@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>Александров</surname><given-names>Сергей Борисович</given-names></name><name name-style="western" xml:lang="en"><surname>Alexandrov</surname><given-names>Sergey B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук, доц.</p></bio><bio xml:lang="en"><p>Candidate of Sciences (Technical), associate professor</p></bio><email xlink:type="simple">a_s_b@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>Макурина</surname><given-names>Варвара Михайловна</given-names></name><name name-style="western" xml:lang="en"><surname>Makurina</surname><given-names>Varvara M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант</p></bio><bio xml:lang="en"><p>postgraduate</p></bio><email xlink:type="simple">v.makurina@madi.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">МАДИ<country>Россия</country></aff><aff xml:lang="en">MADI<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>13</day><month>06</month><year>2024</year></pub-date><volume>0</volume><issue>2(40)</issue><fpage>19</fpage><lpage>19</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Асманов И.А., Александров С.Б., Макурина В.М., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Асманов И.А., Александров С.Б., Макурина В.М.</copyright-holder><copyright-holder xml:lang="en">Asmanov I.A., Alexandrov S.B., Makurina V.M.</copyright-holder><license 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.adi-madi.ru/madi/article/view/1308">https://www.adi-madi.ru/madi/article/view/1308</self-uri><abstract><p>Одним из методов решения транспортных задач является муравьиный алгоритм. Вопросы транспортного характера обладают многофакторностью, при этом не всегда имеется возможность решить поставленные задачи оптимизации на практике. В данной работе предложен модифицированный муравьиный алгоритм с применением стохастической популяции, позволяющий предотвратить возможность застревания на локальных экстремумах, что сделает решение задачи более эффективной. Написан программный код муравьиного алгоритма с модификацией и без модификации. Произведено сравнение по результатам работы двух алгоритмов.</p></abstract><trans-abstract xml:lang="en"><p>One of the methods for solving transport problems is the ant algorithm. Transport issues are multifactorial, and it is not always possible to solve the optimization problems in practice. In this paper, a modified ant algorithm using a stochastic population is proposed to prevent the possibility of getting stuck at local extrema, which will make solving the problem more efficient. The program code for the ant algorithm was written with and without modification. A comparison was made based on the results of the two algorithms.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>муравьиный алгоритм</kwd><kwd>роевой интеллект</kwd><kwd>задачи маршрутизации транспорта.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>ant algorithm</kwd><kwd>swarm intelligence</kwd><kwd>transport routing problems</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">Чернышев, Ю. О. Обзор динамических задач маршрутизации транспорта / Ю. О. Чернышев, В. Н. 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