Optimization procedures in the problem of marketing educational services at the stage of forming a policy for recruiting applicants to universities
https://doi.org/10.32362/2500-316X-2020-8-5-91-102
Abstract
The article discusses the optimization procedures in the marketing of educational services in the formation of a marketing strategy for a new recruitment in a university. A mathematical model for formalizing the objective function when evaluating the results of a new recruitment at a university is considered, which is the basis for creating optimization procedures. The results of the new recruitment are characterized by quantitative and qualitative indicators, which include the number of applicants, as well as the average USE score.
An economic and mathematical model is proposed for the optimal determination of the parameters of a new set, which provides a balanced policy for implementing a new set. At the same time, the importance of the minimum threshold of USE scores that an applicant must collect for admission to a university is shown. An increase in this parameter contributes to the fact that the average USE score of enrolled students increases, but at the same time the number of students enrolled in places with full cost recovery decreases. An optimization problem is considered, with the help of which it is possible to calculate the optimal value of this parameter.
A game-theoretic mathematical model is proposed for modeling the influence of marketing activities and random factors on the result of a new set, with the help of which it is possible to form a ranked list of activities and the optimal allocation of resources. Using the game-theoretic approach allows you to effectively take into account the uncertainties that affect the results of the new set. At the same time, a maximin approach is proposed, with the help of which we calculate the optimal strategy of marketing activities when organizing a new recruitment at a university. At the same time, a general scheme for using the optimization model is proposed and an algorithm is presented with the help of which we obtain a calculated optimal marketing strategy for implementing a new recruitment at a university and an optimal allocation of resources to ensure these activities.
About the Authors
V. A. Rogova
MIREA – Russian Technological University
Russian Federation
Russian Federation
Vera A. Rogova, Head of the Department for Work with Applicants
78, Vernadskogo pr., Moscow 119454
R. V. Shamin
MIREA – Russian Technological University
Russian Federation
Russian Federation
Roman V. Shamin, Dr. Sci. (Physics and Mathematics), Head of the Department of Information of the Institute for Integrated Security and Special Instrument Engineering. Scopus Author ID:6506250832
78, Vernadskogo pr., Moscow 119454
References
1. Obrazovanie v Rossii – 2016. Statisticheskii byulleten' (Education in Russia – 2016. Statistical Bulletin). Moscow: MIREA Publishing House; 2016. 630 p. (in Russ.).
2. Obrazovanie v Rossii – 2020. Statisticheskii byulleten' (Education in Russia – 2020. Statistical Bulletin). Moscow: MIREA Publishing House; 2016. 480 p. (in Russ.).
3. Rogova V.A. Problems of a new kit for higher education institutions for engineering and technical directions of training and specialty. Ekonomika i predprinimatel'stvo = Journal of Economy and entrepreneurship. 2018;8(97):1259- 1266 (in Russ.).
4. Shamin R.V. Mashinnoe obuchenie v zadachakh ekonomiki (Machine learning in problems of economics). Moscow: "Grin Print"; 2019. 140 р. (in Russ.). ISBN 978-5-6042765-9-4
5. Shamin R.V., Uryngaliyeva A.A., Shermadini M.V., Filippov P.G. The model of evolutionary optimization of production processes at advanced technological enterprises. Espacios. 2019;40(20):26.
6. Shamin R.V., Chursin A.A., Kokuytseva T.V., Ostrovskaya A.A., Semenov A.S. Modeling of growth- collapse processes and their applications to pricing management. Int. J. Pure Appl. Math. 2018;118(Special Iss. 18D):3741-3745.
7. Borovkov A.A. Matematicheskaya statistika (Mathematical statistics). Novosibirsk: Nauka; 771 p. (in Russ.). ISBN 5-86134-024-2
8. Nejman Dzh., Morgenshern O. Teorija igr i jekonomicheskoe povedenie (Game theory and economic behavior). Moscow: Nauka; 1970. 707 p. (in Russ.). [Neumann D., Morgenstern O. Theory of games and economic behavior. Princeton: Princeton University Press; 1953. 739 p.]
9. Zaharov A.V. Teorija igr v obshhestvennyh naukah (Game theory in the social sciences). Moscow: HSE’s press; 2019. 304 р. (in Russ.). ISBN 978-5-7598-1941-7
10. Petrosjan L.A., Zenkevich N.A., Shevkopljas E.V. Teorija igr (Game theory). Sankt Peterburg: BHV-Peterburg; 2012. 432 р. (in Russ.). ISBN 978-5-9775-0484-3
11. Hurwicz L. The design of mechanisms for resource allocation. Am. Econ. Rev. 1973;63(2):1-30.
12. Dem'janov V. F., Malozemov V. N. Vvedenie v minimaks (Introduction to minimax). Moscow: Nauka; 1972. 368 р. (in Russ.).
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An economic and mathematical model for the optimal determination of the parameters of a new set was proposed. An optimization problem, with the help of which it is possible to calculate the optimal value of the minimum threshold of USE scores, was considered. A game-theoretic mathematical model for modeling the influence of marketing activities and random factors on the result of a new set, with the help of which it is possible to form a ranked list of activities and the optimal allocation of resources, was proposed.
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For citations:
Rogova V.A., Shamin R.V. Optimization procedures in the problem of marketing educational services at the stage of forming a policy for recruiting applicants to universities. Russian Technological Journal. 2020;8(5):91-102. (In Russ.) https://doi.org/10.32362/2500-316X-2020-8-5-91-102
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