Abstract
Every year, the problem of industrial safety is becoming increasingly relevant. The effective industrial safety management system (ISMS) organization becomes especially important for nuclear energy, chemical, petrochemical, oil and gas, mining, metallurgical industries, coal mines and other industries, including enterprises with hazardous production facilities (HPF). Any violation of operating modes, unaccounted technological and operational defects can lead to serious consequences and accidents, accompanied by significant material costs and technological disasters. An important place among the problems of industrial safety is the problem of trouble-free operation of technical devices (units, machines and mechanisms, technical systems and complexes, technological equipment, instruments and apparatus) of hazardous production facilities. However, existing approaches to solving this problem have limited application. The article proposes an effective solving method of the problem based on the use of graph models. The advantage of such modelling is the simplicity, clarity and ease of mathematical algorithmization of the studied production processes and technical systems.
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