<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">creexp</journal-id><journal-title-group><journal-title xml:lang="ru">Crede Experto: транспорт, общество, образование, язык</journal-title><trans-title-group xml:lang="en"><trans-title>Crede Experto: transport, society, education, language</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2312-1327</issn><publisher><publisher-name>Иркутский филиал ФГБОУ ВО «МГТУ ГА»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.51955/2312-1327_2024_2_77</article-id><article-id custom-type="elpub" pub-id-type="custom">creexp-102</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>АВИОНИКА, АВИАЦИОННЫЕ ЭЛЕКТРОСИСТЕМЫ, ПИЛОТАЖНО НАВИГАЦИОННЫЕ КОМПЛЕКСЫ И МЕТОДЫ ИХ ЭКСПЛУАТАЦИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Avionics, aircraft electrical systems, aircraft navigation complexes and methods for their exploitation</subject></subj-group></article-categories><title-group><article-title>Разработка методики идентификации и разрешения конфликтных ситуаций при оперативном планировании четырехмерной траектории полета</article-title><trans-title-group xml:lang="en"><trans-title>Development of a conflict detection and resolution methodololy used in the operational flight 4D-trajectory planning</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8932-6821</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нгуен</surname><given-names>Тхи Линь Фыонг</given-names></name><name name-style="western" xml:lang="en"><surname>Nguyen</surname><given-names>Thi Linh Phuong</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нгуен Тхи Линь Фыонг, аспирант; преподаватель-исследователь</p><p>Волоколамское ш., д. 4, Москва, 125993</p><p>104 ул. Нгуен Ван Чой, квартал 8, район Фу Нюан Хошимин, Вьетнам</p></bio><bio xml:lang="en"><p>Nguyen Thi Linh Phuong, Ph. D. Student; teacher-researcher</p><p>4, Volokolamskoe shosse, Moscow, 125993</p><p>104 Nguyen Van Troi, Ward 8, Phu Nhuan District, Ho Chi Minh City, Vietnam</p></bio><email xlink:type="simple">phuongntlp@vaa.edu.vn</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0174-8929</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Неретин</surname><given-names>Е. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Neretin</surname><given-names>E. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евгений Сергеевич Неретин, кандидат технических наук, доцент</p><p>Волоколамское ш., д. 4, Москва, 125993</p></bio><bio xml:lang="en"><p>Evgeny S. Neretin, Candidate of Technical Sciences, Associated Professor</p><p>4, Volokolamskoe shosse, Moscow, 125993</p></bio><email xlink:type="simple">neretines@mai.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4176-101X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нгуен</surname><given-names>Ныы Ман</given-names></name><name name-style="western" xml:lang="en"><surname>Nguyen</surname><given-names>Nhu Man</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нгуен Ныы Ман, кандидат технических наук</p><p>Волоколамское ш., д. 4, Москва, 125993</p></bio><bio xml:lang="en"><p>Nguyen Nhu Man, Candidate of Technical Sciences</p><p>4, Volokolamskoe shosse, Moscow, 125993</p></bio><email xlink:type="simple">nguennm@mai.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Московский авиационный институт (национальный исследовательский университет); Вьетнамская Авиационная Академи<country>Россия</country></aff><aff xml:lang="en">Moscow Aviation Institute (National Research University); Vietnam Aviation Institute<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Московский авиационный институт (национальный исследовательский университет)<country>Россия</country></aff><aff xml:lang="en">Moscow Aviation Institute (National Research University)<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>28</day><month>11</month><year>2025</year></pub-date><volume>0</volume><issue>2</issue><fpage>77</fpage><lpage>95</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нгуен Т., Неретин Е.С., Нгуен Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Нгуен Т., Неретин Е.С., Нгуен Н.</copyright-holder><copyright-holder xml:lang="en">Nguyen T., Neretin E.S., Nguyen N.</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://ce.if-mstuca.ru/jour/article/view/102">https://ce.if-mstuca.ru/jour/article/view/102</self-uri><abstract><p>Обнаружение и разрешение конфликтов являются одной из ключевых задач в обеспечении безопасности и эффективности эксплуатации воздушного транспорта. В операциях на основе траекторий (от англ. TBO – Trajectory based operation) воздушным судам (ВС) предоставляется большая гибкость в планировании траекторий на маршруте и большая ответственность за самоэшелонирование друг от друга, при котором пилоту потребуется помощь для безопасного и эффективного выполнения задачи децентрализованного разрешения конфликтов в полете по маршруту. В настоящей работе разрабатывается методика идентификации и разрешения конфликтных ситуаций в крейсерском режиме полета на основе четырехмерных узлов сетки (4D-сетка) и алгоритма поиска кратчайшего пути A-star (далее – A*) для формирования оптимальной четырехмерной траектории (4D-траектория) обхода. Данный новый подход помогает избегать ложных предупреждений о потенциальных конфликтных ситуациях (ПКС) в воздухе из-за возможности своевременного их обнаружения и точного определения расстояния от рассматриваемого ВС до зон опасного сближения (ОС) с запретными для полетов зонами, зонами ограничения полетов, зонами сложных метеоусловий (СМУ) и другими ВС, что и позволяет автономно сформировать временно-пространственную траекторию их обхода. Для демонстрации эффективности предлагаемой методики идентификации и разрешения конфликтов при оперативном планировании 4D-траектории полета с использованием 4D-сетки и алгоритма поиска кратчайшего пути А-star (далее – А*) по заданным критериям оптимизации проведем три эксперимента в различных условиях воздушного пространства (при наличии зон опасного сближения и без них). Результаты проведенных экспериментов доказывают, что потенциальные опасные сближения ВС в полете эффективно идентифицированы и разрешены при применении предлагаемой методики.</p></abstract><trans-abstract xml:lang="en"><p>Conflict detection and resolution is one of the key tasks in ensuring the safety and efficiency of air transport. In Trajectory Based Operation (TBO), aircraft are given greater flexibility in planning trajectories along the route and greater responsibility for self-separation from each other, so the pilot will need assistance to safely and efficiently perform the task of decentralized conflict resolution during the en-route flight. In this work, we develop a method for identifying and resolving conflict situations in cruising phase based on four-dimensional grid nodes (4D-grid) and the A-star shortest path search algorithm (A* for short) to form an optimal four-dimensional trajectory (4D-trajectory) bypass all airspace obstacles. This new approach helps to avoid false warnings about potential conflicts due to the ability to early detect them and accurately determine the distance from aircraft to areas of dangerous proximity (prohibited zones (PZ), zones of bad weather, other aircraft) and then autonomously form a time-spatial trajectory to bypass them. In order to demonstrate the effectiveness of the proposed method, we conduct three experiments in different airspace conditions (with and without the areas of dangerous proximity). The results of the experiments prove that potential dangerous proximities of aircraft in flight are effectively identified and resolved using the proposed methodology.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>обнаружение и разрешение конфликтов</kwd><kwd>самоэшелонирование</kwd><kwd>четырехмерная траектория</kwd><kwd>4D-сетка</kwd><kwd>алгоритм A*</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Conflict detection and resolution</kwd><kwd>self-separation</kwd><kwd>4D trajectory</kwd><kwd>4D-grid</kwd><kwd>algorithm A*</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">Дегтярев О. В. Разработка бортовых алгоритмов обнаружения и децентрализованного разрешения опасных сближений в воздухе, основанных на методе потенциальных полей / О. В. Дегтярев, В. С. Орлов, Б. В. Пучков // Теория и системы управления. 2010. № 5. С. 93.</mixed-citation><mixed-citation xml:lang="en">Acevedo J. J., Castaño Á. R., Andrade-Pineda J. L., Ollero A. (2019). A 4D grid-based approach for efficient conflict detection in large-scale multi-UAV scenarios. 2019 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED UAS). Cranfield, UK, 2019. pp. 18-23. doi: 10.1109/REDUAS47371.2019.8999724.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Исаев В. К. Некоторые задачи 2D-маневрирования самолета с целью обеспечения вихревой безопасности / В. К. Исаев, В. В. Золотухин // Вестник МАИ. 2009. Том 16, № 7. С. 1. EDN LASYGP.</mixed-citation><mixed-citation xml:lang="en">Alonso-Ayuso A., Escudero L. F., Martin-Campo F. J. (2016). Multiobjective optimization for aircraft conflict resolution: A metaheuristic approach. European Journal of Operational Research. 248(2): 691-702.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Кумков С. И. Задача обнаружения и разрешения конфликтных ситуаций в автоматизированной системе управления воздушным движением / С. И. Кумков, С. Г. Пятко // Научный вестник «НИИ Аэронавигации». 2013. № 12. С. 35-46.</mixed-citation><mixed-citation xml:lang="en">Architecture of National Airspace System (NAS). Concepts for Future NAS Operations. Department of Transportation, FAA, USA. 1996.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Петров Н. А. Разработка универсального алгоритма разрешения конфликтных ситуаций в воздушном пространстве при полете магистрального самолета // Научный вестник МГТУ ГА. 2014. № 205. С. 129-136.</mixed-citation><mixed-citation xml:lang="en">Bilimoria K. D. (2000). A Geometric Optimization Approach to Aircraft Conflict Resolution. AIAA Guidance, Navigation and Control Conf. Denver, 2000.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">A 4D grid-based approach for efficient conflict detection in large-scale multi-UAV scenarios / J. J. Acevedo, Á. R. Castaño, J. L. Andrade-Pineda, A. Ollero // 2019 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED UAS). Cranfield, UK, 2019. pp. 18-23. doi: 10.1109/REDUAS47371.2019.8999724.</mixed-citation><mixed-citation xml:lang="en">Bilimoria K. D., Lee H. Q., Mao Z. H. [et al]. (2000). Comparison of centralized and decentralized conflict resolution strategies for multiple-aircraft problems. AIAA Guidance, Navigation, and Control Conf. Denver, 2000.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Alonso-Ayuso A. Multiobjective optimization for aircraft conflict resolution: A metaheuristic approach / A. Alonso-Ayuso, L. F. Escudero, F. J. Martin-Campo // European Journal of Operational Research. 2016. Vol. 248(2). pp. 691-702.</mixed-citation><mixed-citation xml:lang="en">Degtyarev O. V., Orlov V. S., Puchkov B. V. (2010). Development of on-board algorithms for detection and decentralized resolution of dangerous approaches in the air based on the method of potential fields. Theory and control Systems. 5: 93. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Architecture of National Airspace System (NAS). Concepts for Future NAS Operations. Department of Transportation, FAA, USA. 1996.</mixed-citation><mixed-citation xml:lang="en">Eby M. S. (1994). A Self-Organizational Approach for Resolving Air Traffic Conflicts. The Lincoln Laboratory Journal. 7(2): 239-254.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Bilimoria K. D. A Geometric Optimization Approach to Aircraft Conflict Resolution // AIAA Guidance, Navigation and Control Conf. Denver, 2000.</mixed-citation><mixed-citation xml:lang="en">Frazzoli E., Mao Z. H., Oh J. H. [at al.]. (2001). Resolution of Conflicts Involving Many Aircraft via Semi-definite Programming. Journal Guidance, Control and Dynamics. 24(1): 79-86. DOI 10.2514/2.4678.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Comparison of centralized and decentralized conflict resolution strategies for multiple-aircraft problems / K. D. Bilimoria, H. Q. Lee, Z. H. Mao [et al] // AIAA Guidance, Navigation, and Control Conf. Denver, 2000.</mixed-citation><mixed-citation xml:lang="en">Gong H., Zhou X. (2013). Flight short-term collision detection based on control tower simulation system. Computer. Technology and Development. 23(4): 151-154.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Eby M. S. A Self-Organizational Approach for Resolving Air Traffic Conflicts // The Lincoln Laboratory Journal. 1994. Vol. 7, № 2. P. 239-254.</mixed-citation><mixed-citation xml:lang="en">Henk A. P. Blom, Bakker G. J. (2015). Safety evaluation of advanced self-separation under very high en route traffic demand. Journal of Aerospace Information Systems. 12(6): 413-427.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Gong H. Flight short-term collision detection based on control tower simulation system / H. Gong, X. Zhou // Computer. Technology and Development. 2013. Vol. 23, № 4. pp. 151-154.</mixed-citation><mixed-citation xml:lang="en">Hernández-Romero E., Valenzuela A., Rivas D. (2019). A probabilistic approach to measure aircraft conflict severity considering wind forecast uncertainty. Aerospace Science and Technology. 86: 401–414. doi: 10.1016/j.ast.2019.01.024.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Henk A. P. Blom. Safety evaluation of advanced self-separation under very high en route traffic demand / A. P. Blom Henk, G. J. Bakker // Journal of Aerospace Information Systems. 2015. Vol. 12, № 6. pp. 413-427.</mixed-citation><mixed-citation xml:lang="en">Hoekstra J. M. M., Gent M., Ruigrok M. (1998). Conceptual Design of Free Flight with Airborne Separation Assurance. AIAA Guidance, Navigation, and Control Conf. Boston, 1998.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Hernández-Romero E. A probabilistic approach to measure aircraft conflict severity considering wind forecast uncertainty / E. Hernández-Romero, A. Valenzuela, D. Rivas // Aerospace Science and Technology. 2019. Vol. 86. pp. 401–414. doi: 10.1016/j.ast.2019.01.024.</mixed-citation><mixed-citation xml:lang="en">ICAO 2002. Doc 9674 – World Geodetic System — 1984 (WGS-84) Manual. Second edition. 2002.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Hoekstra J. M. M. Conceptual Design of Free Flight with Airborne Separation Assurance / J. M. M. Hoekstra, M. Gent, M. Ruigrok // AIAA Guidance, Navigation, and Control Conf. Boston, 1998.</mixed-citation><mixed-citation xml:lang="en">ICAO 2012. Doc 9574 – Manual on Implementation of a 300 m (1000 ft) Vertical Separation Minimum Between FL 290 and FL 410 Inclusive. Third edition. 2012.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">ICAO 2002. Doc 9674 – World Geodetic System — 1984 (WGS-84) Manual. Second edition. 2002.</mixed-citation><mixed-citation xml:lang="en">ICAO 2016. Doc 4444 – Procedures for Air Navigation Services/Air Traffic Management (PANS/ATM). 16th Edition. 2016.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">ICAO 2012. Doc 9574 – Manual on Implementation of a 300 m (1000 ft) Vertical Separation Minimum Between FL 290 and FL 410 Inclusive. Third edition. 2012.</mixed-citation><mixed-citation xml:lang="en">Isaev V. K., Zolotukhin V. V. (2009). Some tasks of 2D aircraft maneuvering in order to ensure vortex safety. Bulletin of MAI. 16(7): 1. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">ICAO 2016. Doc 4444 – Procedures for Air Navigation Services/Air Traffic Management (PANS/ATM). 16th Edition. 2016.</mixed-citation><mixed-citation xml:lang="en">Jardin M. (2005). Grid-Based Strategic Air Traffic Conflict Detection. AIAA Guidance, Navigation, and Control Conference and Exhibit. 2005. doi:10.2514/6.2005-5826.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Jardin M. Grid-Based Strategic Air Traffic Conflict Detection // AIAA Guidance, Navigation, and Control Conference and Exhibit. 2005. doi:10.2514/6.2005-5826.</mixed-citation><mixed-citation xml:lang="en">Kuchar J. K., Yang L. C. (2000). A Review of Conflict Detection and Resolution Modeling Methods. IEEE Trans, on Intelligent Transportation Systems. 1(4): 179-189.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Kuchar J. K. A Review of Conflict Detection and Resolution Modeling Methods / J. K. Kuchar, L. C. Yang // IEEE Trans, on Intelligent Transportation Systems. 2000. Vol. 1, № 4. pp. 179-189.</mixed-citation><mixed-citation xml:lang="en">Kumkov S. I., Pyatko S. G. (2013). The task of detecting and resolving conflict situations in an automated air traffic control system. Scientific Bulletin of the Research Institute of Aeronautics. 12: 35-46. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Mondoloni S. An Airborne Conflict Resolution Approach Using a Genetic Algorithm / S. Mondoloni, S. Conway // AIAA Guidance, Navigation, and Control Conf. Montreal, 2001.</mixed-citation><mixed-citation xml:lang="en">Liu Y., Xiang J., Luo Z., Jin W. (2017). Short-term conflict detection algorithm for free flight in low-altitude airspace. Journal of Beijing University of Aeronautics and Astronautics. 43(9): 1873-1881. DOI 10.13700/j.bh.1001-5965.2016.0687.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Neretin E. S. An Analysis of Human Interaction and Weather Effects on Aircraft Trajectory Prediction via Artificial Intellegence / E. S. Neretin, N. T. L. Phuong, N. N. H. Quan // 2022 XIX Technical Scientific Conference on Aviation Dedicated to the Memory of N.E. Zhukovsky (TSCZh). Moscow, 2022. pp. 85-89. doi: 10.1109/TSCZh55469.2022.9802458.</mixed-citation><mixed-citation xml:lang="en">Mondoloni S., Conway S. (2001). An Airborne Conflict Resolution Approach Using a Genetic Algorithm. AIAA Guidance, Navigation, and Control Conf. Montreal, 2001.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Nogami J. Real-time Decision Support for Air Traffic Management, Utilizing Concept Learning / J. Nogami, S. Nakasuka, K. Hori // AIAA Guidance, Navigation, and Control Conf. Boston, 1998.</mixed-citation><mixed-citation xml:lang="en">Neretin E. S., Phuong N. T. L., Quan N. N. H. (2022). An Analysis of Human Interaction and Weather Effects on Aircraft Trajectory Prediction via Artificial Intellegence. 2022 XIX Technical Scientific Conference on Aviation Dedicated to the Memory of N.E. Zhukovsky (TSCZh). Moscow, 2022. pp. 85-89. doi: 10.1109/TSCZh55469.2022.9802458.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Resolution of Conflicts Involving Many Aircraft via Semi-definite Programming / E. Frazzoli, Z. H. Mao, J. H. Oh [at al.] // Journal Guidance, Control and Dynamics. 2001. Vol. 24, № 1. P. 79-86. DOI 10.2514/2.4678.</mixed-citation><mixed-citation xml:lang="en">Nogami J., Nakasuka S., Hori K. (1998). Real-time Decision Support for Air Traffic Management, Utilizing Concept Learning. AIAA Guidance, Navigation, and Control Conf. Boston, 1998.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Short-term conflict detection algorithm for free flight in low-altitude airspace / Y. Liu, J. Xiang, Z. Luo, W. Jin // Journal of Beijing University of Aeronautics and Astronautics. 2017. Vol. 43, № 9. pp. 1873-1881. DOI 10.13700/j.bh.1001-5965.2016.0687.</mixed-citation><mixed-citation xml:lang="en">Petrov N. A. (2014). Development of a universal algorithm for resolving conflict situations in airspace during the flight of a mainline aircraft. Scientific Bulletin of MSTU GA. 205: 129-136. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Wallace E. Advances in Force Field Conflicts Resolution Algorithms / E. Wallace, I. Kelly // AIAA Guidance, Navigation and Control Conf. Denver, 2000.</mixed-citation><mixed-citation xml:lang="en">Wallace E., Kelly I. (2000). Advances in Force Field Conflicts Resolution Algorithms. AIAA Guidance, Navigation and Control Conf. Denver, 2000.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Wanke C. Incremental, Probabilistic Decision Making for En Route Traffic Management / C. Wanke, D. Greenbaum // Air Traffic Control Quarterly. 2007. № 15(4). pp. 299-319.</mixed-citation><mixed-citation xml:lang="en">Wanke C., Greenbaum D. (2007). Incremental, Probabilistic Decision Making for En Route Traffic Management. Air Traffic Control Quarterly. 15(4): 299-319.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Zeghal K. A Review of Different Approaches based on Force Fields for Airborne Conflict Resolution // AIAA Guidance, Navigation and Control Conf. Boston, 1998.</mixed-citation><mixed-citation xml:lang="en">Zeghal K. (1998). A Review of Different Approaches based on Force Fields for Airborne Conflict Resolution. AIAA Guidance, Navigation and Control Conf. Boston, 1998.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
