Improvement of the methodology for calculating the training standards with fire-fighting equipment

Introduction. The article deals with improvement of the differential model of training for decision-making when setting standards of training with fire-fighting equipment. Using a differential training model, the study of the setting training standards with new models of technology and fire-technical equipment was carried out. Goals and objectives. The aim of the study is to improve the training model for calculating the training standards and predicting the number of approaches to ensure the successful development of the training in the framework of the management of professional training of firefighters. Methods. The process of obtaining new scientific results can be divided into three stages. At the first stage, when improving the training model, methods for solving differential equations with separable variables were used. At the second stage of the study, the Student's criterion and elements of probability theory were used in the development of training standards with fire-fighting equipment. At the third stage, the Pearson determination criterion was used in the process of assessing the adequacy of the results. Results and discussion. The authors obtained a partial analytical solution of the general differential training model for the case of linear dependence of the training function on the results of the exercise. A method for calculating standards for exercises with fire-fighting equipment based on truncated data is proposed and the results of calculating standards are compared with the generally accepted method for setting standards for exercises with fire-fighting equipment. A method has been developed for determining the values of the function of training based on the results of repeated exercises, taking into account the training factor. Conclusions. Thus, the proposed modification of the training model consists in establishing a linear dependence of the results of the exercises on the number of approaches, which allows planning actions for the successful implementation of exercises with fire-fighting equipment. The directions of further research in terms of the development of the results obtained in the management of professional training of personnel in fire departments have been determined. Keywords: firefighter training management, fire-fighting equipment, training standards, differential training model, decision-making