A bottleneck routing problem with a system of priority tasks
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Заглавие |
A bottleneck routing problem with a system of priority tasks
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Автор |
Chentsov, A. G.
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Тематика |
DYNAMIC PROGRAMMING
PRECEDENCE CONDITIONS ROUTE |
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Описание |
We consider a minimax routing problem related to visiting megacities under precedence conditions and cost functions with task list dependence. It is supposed that some megacity system requiring visiting above all is selected. For solving, an approach with decomposition into a set of two minimax routing problems is proposed. A two-step widely understood dynamic programming procedure realizing an optimal composition solution is constructed. The above-mentioned optimality is established by theoretical methods. Application of the results obtained is possible under investigation of multi-stage processes connected with regular allocation of resources. Another variant of application concerns the particular case of one-element megacities (i. e., cities) and may be related to the issues of aviation logistics under organization of flights using one tool (airplane or helicopter) under system of tasks on the realization of passing cargo transportation with prioritization of visits realized above all. © 2023 The Author(s).
Ministry of Education and Science of the Russian Federation, Minobrnauka: 075-02-2023-913 Funding. The work was performed as part of research conducted in the Ural Mathematical Center with the financial support of the Ministry of Science and Higher Education of the Russian Federation (Agreement number 075-02-2023-913). |
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Дата |
2024-04-05T16:26:18Z
2024-04-05T16:26:18Z 2023 |
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Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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Идентификатор |
Ченцов, АГ 2023, 'ЗАДАЧА МАРШРУТИЗАЦИИ «НА УЗКИЕ МЕСТА» С СИСТЕМОЙ ПЕРВООЧЕРЕДНЫХ ЗАДАНИЙ', Известия Института математики и информатики Удмуртского государственного университета, Том. 61, стр. 156-186. https://doi.org/10.35634/2226-3594-2023-61-09
Ченцов, А. Г. (2023). ЗАДАЧА МАРШРУТИЗАЦИИ «НА УЗКИЕ МЕСТА» С СИСТЕМОЙ ПЕРВООЧЕРЕДНЫХ ЗАДАНИЙ. Известия Института математики и информатики Удмуртского государственного университета, 61, 156-186. https://doi.org/10.35634/2226-3594-2023-61-09 2226-3594 Final All Open Access, Bronze https://www.scopus.com/inward/record.uri?eid=2-s2.0-85162837059&doi=10.35634%2f2226-3594-2023-61-09&partnerID=40&md5=0772b3b0fb8182cbaad9979753758d18 https://www.mathnet.ru/php/getFT.phtml?jrnid=iimi&paperid=447&what=fullt&option_lang=eng http://elar.urfu.ru/handle/10995/130571 53741294 10.35634/2226-3594-2023-61-09 85162837059 001005574800009 |
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Язык |
ru
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Права |
Open access (info:eu-repo/semantics/openAccess)
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Формат |
application/pdf
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Издатель |
Udmurt State University
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Источник |
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta |
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