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Optimization of the structure of the learning process under the given constraints

https://doi.org/10.21122/2309-4923-2023-4-69-73

Abstract

The article is devoted to the study of ways to optimize the mathematical model of the structure of the educational process. Formalization of the structure of the educational process was carried out in the form of setting an objective function, including the sum of the number of hours provided by the curriculum for various types of training sessions. At the same time, for each type of occupation, a weighting coefficient is provided, which characterizes the relative effectiveness of each type of occupation. The numerical values of the weight coefficients are proposed to be determined by applying the method of analyzing hierarchies based on expert assessments, which are set by appointed specialists. The task is to maximize the objective function that characterizes the overall effectiveness of the educational process. As restrictions imposed on the structure of the educational process, a system of inequalities is considered, presented in a linear form and taking into account restrictions on the budget of study time allocated for the study of the academic discipline, financial restrictions on the remuneration of teaching and teaching staff, financial restrictions associated with the content educational and material base, purchase of software and other expenses. Thus, the task of optimizing the educational process is reduced to a linear programming problem, which in this case is solved using the simplex method using a standard program implemented in various computer environments. At the same time, a dual task is formulated to determine the required time and financial resources for a given distribution of teaching hours by type of occupation. The example given in the article, implemented in the Mathcad computer environment, clearly showed the efficiency of the developed methodology.

About the Authors

A. A. Lobaty
Belarusian National Technical University
Belarus
Doctor of Science, Professor


D. A. Konopacki
Belarusian National Technical University
Belarus
Director of the branch of ИТЕГ


References

1. Bogush V.A. Information technologies in education. Science and innovation. – 2015. – No. 11. – Рp. 9-12.

2. Ermolovich M.M. Management of the education system: a course of lectures. – Minsk: BSU, 2012. – 100 p.

3. Blinov V.I., Vinenko V. G., Sergeev I.S. Methods of teaching in higher school: textbook-practical. manual. – M.: Yurayt, 2019. – 315 p.

4. Goreva O.M., Osipova L.B. Management of the education system in terms of improving the quality of education. Modern problems of science and education. ‒ 2019. ‒ № 1.

5. Saati, T.L. Decision-making with dependencies and feedbacks: Analytical networks. – M.: LKI Publishing House, 2008. – 360 p.

6. Lobaty A.A., Abufanas A.S. Decision-making when choosing objects according to performance criteria // System Analysis and Applied Informatics, 2015. – No. 4. – Рp. 36-39.

7. Wentzel, E.S. Operations research. Tasks, principles, methodology. – M.: Bustard, 2006. – 206 p .

8. Taha, H.A. Introduction to operations research. – M.: Williams Publishing House, 2005. – 912 p.

9. Kudryavtsev, E.M. Mathcad 11: The Complete Guide to the Russian Version. – M.: DMK Press, 2005. – 592 p.


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For citations:


Lobaty A.A., Konopacki D.A. Optimization of the structure of the learning process under the given constraints. «System analysis and applied information science». 2023;(4):69-73. (In Russ.) https://doi.org/10.21122/2309-4923-2023-4-69-73

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ISSN 2309-4923 (Print)
ISSN 2414-0481 (Online)