Abstract

The purpose of the process safety management system is to identify hazard factors and develop a set of methods to prevent injuries at an airline, occupational illness, material costs in case of damage to property and the environment. The analysis of the structure of occupational pathology depending on the factors of the production environment and the working process for the period 2013–2022 shows that the percentage of diseases associated with the impact of production physical factors for this period remains at the same level. This fact, in turn, confirms the relevance of the chosen study. Analysis and identification of the current production situation is necessary to assess the impact of adverse production factors. In this study, a new approach to the mathematical model for a process safety management system is implemented. Mathematical modeling allows a deeper understanding of the nature of certain phenomena and to obtain information about the real situation, which in turn stimulates the development of new scientific problems and methods of solving them, and is also the basis for choosing specific solutions for the implementation of certain projects. The successful implementation of strategies in order to create a process safety system for a flexible monitoring and management structure depends on how effective its functional structure is; this provision is explained by the fundamental nature of the tasks that are solved at the management stage. The article discusses the theoretical statements concerning mathematical modeling. When creating the model, the apparatus of abstract algebra-set theory – was used. The model developed in the course of the study makes it possible to introduce a model of the process safety management system into the activities of aviation enterprises.

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