Development of mathematical models of the project-vector space of educational environments

Authors

DOI:

https://doi.org/10.15587/1729-4061.2022.266262

Keywords:

project-vector methodology, project-vector space, project management, educational environment

Abstract

Based on the analysis of scientific developments in the application of project management methodology for educational environment management, the application of the vector paradigm to the construction of project management methodology in academic environments is substantiated. The methodological concept of project management in the educational environment is proposed, and the conceptual basis of the methodology of project-vector management of educational environments is created. The theoretical foundations of project-vector management of educational environments are developed. A mathematical model for managing projects in educational environments has been developed, the originality of which is ensured by representing the entities of projects, products, tools and subjects of educational environments as the objects of project-vector space, moving from the starting point (project origination) to its completion. The notion of the potential movement of objects in the project-vector space (PVS) is introduced and used in the mathematical model. The definition of unforced resistance of PVS is given, the source of which is the regularity in the influence of a significant number of objects and subjects of the project-vector space on each other, which is present in most projects of educational environments and hinders their implementation. The proposed methodology creates a modern scientific and methodological basis for the construction of project management systems in educational organizations. The practical implementation of the results of the research creates a basis for improving the efficiency and quality of educational organizations due to a well-defined organization of management procedures.

Supporting Agency

  • This paper was written in the framework of the state order to implement the science program for budget program 217 “Development of Science”, IRN No. AP08857218 with the topic: “Information technology for assessment of scientific activity of universities, research institutes, and their subdivisions”

Author Biographies

Andrii Biloshchytskyi, Astana IT University; Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Professor, Vice-Rector for Science and Innovation

Department of Information Technologies

Svitlana Tsiutsiura, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Professor, Head of Department

Department of Information Technologies

Alexander Kuchansky, Taras Shevchenko National University of Kyiv

Doctor of Technical Sciences, Head of Department

Department of Information Systems and Technology

Oleg Serbin, Taras Shevchenko National University of Kyiv

Doctor of Science in Social Communications, Senior Researcher

Director of Scientific Library

Maksymovych Scientific Library

Mykola Tsiutsiura, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Associate Professor

Department of Information Technologies

Svitlana Biloshchytska, Astana IT University; Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Associate Professor

Department of Computer Technology and Data

Department of Information Technologies

Adil Faizullin, Astana IT University

Master of Technical Sciences, Director of Department

Department of Strategy and Corporate Governance

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Development of mathematical models of the project-vector space of educational environments

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Published

2022-10-30

How to Cite

Biloshchytskyi, A., Tsiutsiura, S., Kuchansky, A., Serbin, O., Tsiutsiura, M., Biloshchytska, S., & Faizullin, A. (2022). Development of mathematical models of the project-vector space of educational environments. Eastern-European Journal of Enterprise Technologies, 5(4(119), 50–61. https://doi.org/10.15587/1729-4061.2022.266262

Issue

Vol. 5 No. 4(119) (2022): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2022 Andrii Biloshchytskyi, Svitlana Tsiutsiura, Alexander Kuchansky, Oleg Serbin, Mykola Tsiutsiura, Svitlana Biloshchytska, Adil Faizullin

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