Geodesic
А model and a numerical method for optimizing the choice of a training trajectory for heterogeneous groups of specialists
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 17 (2024) no. 4, pp. 32-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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Training and retraining of specialists of different profiles at present requires taking into account the high dynamics of the conditions of their professional activity. This is especially relevant when it is necessary to train specialists to act in emergency situation. For this reason, two major problems with organisation of the training process of specialists have arisen: $\bullet$ the requirement for simultaneous training of a heterogeneous group which consists of specialists of different profiles who jointly provides the solution of a certain range of tasks in case of emergencies; $\bullet$ the requirement for minimizing the duration of the training process. Both universal and individual competences are expected of specialists in heterogeneous groups. In particular, in heterogeneous groups that prepare for emergency response, universal competences are required to act in special circumstances and individual competences are required to fulfil narrow professional tasks. The said circumstance makes it possible to organize the sequence of courses for training specialists in the groups under consideration in such a way that it is possible to obtain universal competences in one course simultaneously by specialists of different profiles, which allows reducing the total training time of the whole heterogeneous group. At the same time, it is necessary to take into account the capabilities of the educational organisation in terms of the number of simultaneous trainees in each course, which ensures the acquisition of the relevant competence. In this regard, there is a need to optimize the choice of trajectory, i.e., the sequence of courses, for training specialists in heterogeneous groups, taking into account the capacity of the educational organisation that trained them. For this purpose, we have developed a mathematical model and a numerical method for finding the optimal trajectory based on the use of genetic algorithm, the advantage of which is polynomial computational complexity. A numerical example is presented.
Keywords: specialist training, heterogeneous groups, learning trajectory optimization, genetic algorithm. 
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V. V. Menshikh; A. V. Podolskikh. А model and a numerical method for optimizing the choice of a training trajectory for heterogeneous groups of specialists. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 17 (2024) no. 4, pp. 32-41. http://geodesic.mathdoc.fr/item/VYURU_2024_17_4_a2/

[1] Johnson R., “The Role of Continuous Professional Development in Enhancing Specialist Competence”, Journal of Education and Training, 25:1 (2020), 50–65

[2] Martinez E., “The Importance of Lifelong Learning for Specialists in a Changing Work Environment”, Journal of Career Development, 36:1 (2019), 40–55

[3] Borisenkov V.P., “The Quality of Education and Training Problems of Pedagogic Personnel”, Education and Science, 3:122 (2015), 4–17

[4] Gass S.I., Harris C.M., Handbook of Operations Research and Management Science in Higher Education, Springer, Cham, 2021 | DOI | MR

[5] Menshikh V.V., Sereda E.N., “Optimization of Training Modules Choice During Multipurpose Training of Specialists”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 11:1 (2018), 27–34 | DOI | MR

[6] Menshikh V.V., Samorokovskij A.F., Sereda E.N., Gorlov V.V., Modeling Collective Actions of Employees of Internal Affairs Bodies, Voronezh Institute of the Ministry of Internal Affairs of the Russian Federation, Voronezh, 2017

[7] Lihobabina A.V., Menshikh V.V., “Model and Numerical Method of Optimization of Selection of Training Programs for Specialists”, 5th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency, Lipetsk, 2023, 447–450 | DOI

[8] Gladkov L.A., Kurejchik V.V., Kurejchik V.M., Genetic Algorithms, Fizmatlit, M., 2010 (in Russian)

[9] Karpenko A.P., Modern Search Engine Optimization Algorithms. Algorithms Inspired by Nature: a Study Guide, Publishing House of MSTU Named after N.E. Bauman, M., 2017

[10] Menshikh V.V., Sereda E.N., “A Mathematical Model for Optimizing the Trajectory of Training Law Enforcement Officers to Act in Emergency Situations”, Bulletin of the Voronezh Institute of the Ministry of Internal Affairs of Russia, 2015, no. 3, 36–44

[11] Menshikh V.V., Nikulina E.Yu., Optimization of Time Characteristics of Information Systems, Voronezh Institute of the Ministry of Internal Affairs of the Russian Federation, Voronezh, 2011

[12] Menshikh V.V., Samorokovskij A.F., Sereda E.N., “A Model of Group Formation for Role-Based Management Decision-Making Training”, Bulletin of the Voronezh Institute of the Ministry of Internal Affairs of Russia, 2015, no. 2, 107–114