During their service in the penal system, employees continuously improve their knowledge, skills, and abilities through official training. This article discusses the problem of allocating training time to different areas in order to maximize the value of minimal average grades in those areas. A solution algorithm has been developed. The first step involves determining the maximum possible increase in the minimal average score for one area as well as the amount of time required for this increase. If the resultant score value is lower than the average score in other areas, the second step identifies the maximum possible increases for multiple areas and the corresponding amount of time needed. The article also determines the type of relationship between the increase in average grades for training areas and the time spent on training through the approximation of statistical data. This allows for the analytical solution of the problem. The analysis of the potential use of power and exponential functions for approximation, which allows for the approximate solution of a problem through numerical methods, is also conducted. The resulting values of the coefficient of determination confirm the high accuracy of the approximation. Graphs of the dependency are presented. Two examples of analytical solutions to the problem are provided, illustrating the use of the proposed method. In the first example, all employees have the same initial average training grades in all areas, and in the second example, average grades differ.
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Reznikov Dmitriy Alexandrovich
Voronezh institute of the Russian Federal Penitentiary Service
Voronezh, Russian Federation
