Математична модель мінімальної сітки сполучення п’ятьох об’єктів, довільно розміщених на площині

The optimal applied problems related to the construction of a minimal grid connecting five objects arbitrarily placed on a plane are considered. The algorithms for constructing the shortest lines of their connection are developed and substantiated. Mathematical models are constructed in the form of...

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Bibliographic Details
Date:2024
Main Authors: Voznyak, H. M.; Західноукраїнський національний університет, Тернопіль, Voznyak, O. H.; Західноукраїнський національний університет, Тернопіль
Format: Article
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2024
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.75-94
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Summary:The optimal applied problems related to the construction of a minimal grid connecting five objects arbitrarily placed on a plane are considered. The algorithms for constructing the shortest lines of their connection are developed and substantiated. Mathematical models are constructed in the form of formulas and geometric figures. Optimal methods of connection of such objects are proposed. Cite as: H. M. Voznyak, O. H. Voznyak, “Mathematical model of a minimal grid connecting  five objects arbitrarily placed on the plane,” Prykl. Probl. Mekh. Mat., Issue 22, 75–94 (2024) (in Ukrainian), https://doi.org/10.15407/apmm2024.22.75-94