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Elaboration of stochastic models to comprehensive evaluation of occupational risks in complex dynamic systems

Bochkovskyi A. P.

Journal of Achievements in Materials and Manufacturing Engineering

2021

Vol. 104, nr 1

31--41

Purpose: Elaborate stochastic models to comprehensive evaluation of occupational risks in “man - machine - environment” systems taking into account the random and dynamic nature of the impact on the employee of negative factors over time. Design/methodology/approach: Within study, the methods of probability theory and the theory of Markov processes - to find the limit distribution of the random process of dynamic impact on the employee of negative factors over time and obtain main rates against which the level of occupational risks within the "man - machine - environment" systems can be comprehensively evaluated; Erlang phases method, Laplace transform, difference equations theory, method of mathematical induction - to elaborate a method of analytical solution of the appropriate limit task for a system of differential equations in partial derivatives and appropriate limit conditions were used. Findings: A system of differential equations in partial derivatives and relevant limit conditions is derived, which allowed to identify the following main rates for comprehensive evaluation of occupational risks in systems "man - machine - environment": probability of excess the limit of the employee's accumulation of negative impact of the harmful production factor; probability of the employee’s injury of varying severity in a random time. An method to the solution the limit task for a system of differential equations, which allows to provide a lower bounds of the probability of a certain occupational danger occurrence was elaborated. Research limitations/implications: The elaborated approach to injury risk evaluation is designed to predict cases of non-severe injuries. At the same time, this approach allows to consider more severe cases too, but in this case the task will be more difficult. Practical implications: The use of the elaborated models allows to apply a systematic approach to the evaluation of occupational risks in enterprises and to increase the objectivity of the evaluation results by taking into account the real characteristics of the impact of negative factors on the employee over time. Originality/value: For the first time, a special subclass of Markov processes - Markov drift processes was proposed and substantiated for use to comprehensive evaluation of occupational risks in “man - machine - environment” systems.

Elaboration of occupational risks evaluation models considering the dynamics of impact of harmful factors

Bochkovskyi A. P.

Journal of Achievements in Materials and Manufacturing Engineering

2020

Vol. 102, nr 2

76--85

Purpose: Elaborate and substantiate stochastic models of occupational risk evaluation for application in the occupation health and safety. Design/methodology/approach: Analysis of scientific and technical literature and regulatory framework for risk evaluation in the occupation health and safety; methods of probability theory, theory of Markov processes; methods of restoration theory. Findings: A system of differential equations and limit conditions for finding the limit distribution of probabilities of a random process of occupational dangers is derived. Based on the results of solving the limit value task, expressions to determine a number of key indicators by which the level of occupational risk can be evaluated are obtained. Research limitations/implications: The proposed approach aims to evaluation the risk associated with the impact on the employee of harmful factors, but can also be used to evaluate the injury risk. But in this case the received limit value task will be much more difficult. Practical implications: The application of the proposed approach allows to increase the level of occupational safety by taking into account the stochastic characteristics of the negative factors impact on the employee during occupational risks evaluating, as well as the possibility of setting such values of controllable parameters that will allow with a certain probability to ensure not to exceed the level of impact accumulation in the employee of the consequences of these factors. Originality/value: Stochastic models of occupational risk evaluation based on the application of Markov drift processes for the modeling the hybrid nature of the negative factors impact on the employee, which occurs within the real systems "man - technical system - production environment" were elaborated and substantiated for the first time.