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Information × Registration Number 0224U003080, 0119U101134 , R & D reports Title Mathematical modeling of combinatorial configurations and methods of their optimization taking into account spatial and physico-metric parameters popup.stage_title Head Yakovlev Serhii V., Доктор фізико-математичних наук Registration Date 03-04-2024 Organization National Aerospace University "Kharkiv Aviation Institute" popup.description2  In the course of the project, new research approaches were developed for mapping complex combinatorial structures into the arithmetic Euclidean space for further analysis taking into account the algebraic-topological and topological-metric properties of these images in the n-dimensional Euclidean space. Such approaches made it possible to naturally combine the combinatorial structure of problems with the preservation of their physical content, taking into account the spatial and physical-metric parameters of objects. On the other hand, based on the theory of convex extensions and continuous functional representations of combinatorial configurations, new effective methods of non-linear optimization were developed and existing methods of mathematical programming were modified. To formalize the relationships between spatial objects, the theory of F-functions was developed for the case of variable metric parameters. The methodology for constructing the configuration space of geometric objects was developed and its properties were investigated depending on the class of problems under consideration. Product Description popup.authors Korobchynskyi Kyryl P. Koshova Iryna I. Meniailov Yevhen S. Moskovych Ihor V. Pichugina Oksana S. Skob Yurii O. STOIaN Yurii H. Chumachenko Dmytro I. Yarova Olha V. YASKOV Heorhii M. popup.nrat_date 2024-04-03 Close