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Financial Analytics: Science and Experience
 

A model for managing educational services using distance learning and information education technologies

ISSUE 3, SEPTEMBER 2025

Received: 24 March 2025

Accepted: 12 May 2025

Available online: 28 August 2025

Subject Heading: MATHEMATICAL ANALYSIS AND MODELING IN ECONOMICS

JEL Classification: C44, I21

Pages: 81-99

https://doi.org/10.24891/mfkpsu

Evgenii V. KOSTYRIN Corresponding author, Bauman Moscow State Technical University (Bauman MSTU), Moscow, Russian Federation
mauntain76@mail.ru

https://orcid.org/0000-0003-2569-1146

Oleg A. TSAREVSKII Bauman Moscow State Technical University (Bauman MSTU), Moscow, Russian Federation
t1sarevskiy@yandex.ru

ORCID id: not available

Subject. This article discusses the issues of management of educational services using distance and information educational technologies.
Objectives. The article aims to develop and practically implement an educational services management model using distance and information educational technologies in general education institutions.
Methods. For the study, we used nonlinear programming, Markov chains, limiting probabilities of states in Kolmogorov equations, as well as a graph of possible states of the process of providing educational services to the population.
Results. In the MS Excel software environment, the dependence of the probability of finding the system S in states S0 (request from the population for educational services), S1 (provision of educational services in the traditional way), S2 (provision of educational services using distance and information educational technologies) and S3 (exit), as well as the financial result of the educational institution, depending on the share of educational services using distance and information educational technologies.
Conclusions. With an increase in the percentage of educational services using distance and information educational technologies in a general education institution by 33 percent, while reducing by the same amount 33 percent of educational services provided in the traditional way, the total financial result from the provision of educational services is reduced by 13.71 percent. At the same time, the financial result from the provision of educational services in the traditional way decreases by 15.07 percent, and the financial result from the provision of educational services using distance and information educational technologies increases by 22.55 percent.

Keywords: queuing theory, Markov chains, Kolmogorov equations, limit probabilities, educational institution, school

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