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DOI: 10.15862/10INOR126 (https://doi.org/10.15862/10INOR126)

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Bondarev I.S., Logunova O.S. [Algorithmic support for constructing a context diagram of a complex system based on a hypercubic model] Russian journal of resources, conservation and recycling, 2026, Vol. 13, No. 1. Available at: https://resources.today/PDF/10INOR126.pdf (in Russian). DOI: 10.15862/10INOR126

Algorithmic support for constructing a context diagram of a complex system based on a hypercubic model

Bondarev Ivan Sergeevich
Nosov Magnitogorsk State Technical University, Magnitogorsk, Russia
E-mail: ivanbond1998@mail.ru
ORCID: https://orcid.org/0000-0003-0150-3024
RSCI: https://elibrary.ru/author_profile.asp?id=1101305

Logunova Oksana Sergeevna
Nosov Magnitogorsk State Technical University, Magnitogorsk, Russia
E-mail: logunova66@mail.ru
ORCID: https://orcid.org/0000-0002-7006-8639
RSCI: https://elibrary.ru/author_profile.asp?id=369721

Abstract. The paper considers theoretical and algorithmic foundations for the development of software tools intended for constructing a hypercube model and a context diagram as part of an automated control system for complex objects. The relevance of the study is обусловлена the growing demand for increasing the informativeness and consistency of structural and parametric data representations used at the stages of analysis, design, and operation of complex systems. The aim of the research is to develop a formalized approach to representing the multidimensional structure of a complex system that ensures consistency between analytical and visual models through the integration of a hypercube-based model and a context diagram. Within the proposed approach, the context diagram is interpreted as a visual projection of a structural slice of the system’s hypercube model. The research framework includes formalization of the complex system using set-theoretic methods, development of a modular software architecture, and design of algorithms for hypercube formation and automated visualization of the context diagram. The hypercube construction algorithms provide representation of hierarchical, structural, and parametric characteristics of the system in the form of a multidimensional analytical space. The study is based on methods of set-theoretic analysis, graph theory, hierarchical modeling, and adaptive visualization algorithms. As a result, a hypercube-based model of a complex system and algorithmic support for automated construction of the context diagram have been developed. It is shown that the use of the hypercube model significantly enhances the analytical value and adaptability of visual representations in automated control systems by ensuring formalized processing and visualization of hierarchical relationships and parametric dependencies.

Keywords: hypercube-based mode; contextual diagram; algorithmic support; complex system; multidimensional modeling; automated control system; set-theoretical analysis; algorithmic support; data visualisation

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