The paper considers the problem of personnel training. The first part describes a mathematical model that describes staff training through scheduling theory. The second part of the article describes a numerical solution using MS Excel and provides several examples of scheduling, the results obtained show how it is necessary to schedule classes to minimize teacher downtime. At the end of the work, practical conclusions and shortcomings of the model are described. This model allows you to reduce the time for scheduling teachers, thereby reducing the possible costs of the enterprise.

Keywords: theory of schedules, discrete mathematics, optimization, training, mathematical modeling, linear programming