Fatieieva L. Improvement of methods for assessing occupational safety risks at work using functionally dependent statistics

The object of the study is the assessment of occupational safety risks at work. The subject of the study is the use of functionally dependent statistics to improve methods for assessing occupational safety risks at work. The purpose of the study is to improve methods for assessing occupational safety risks, taking into account nonlinear functional dependencies that affect the obtaining of new numerical values of estimates on a dimensionless scale and will allow the effective use of functionally dependent statistics to determine the risks of occupational diseases. For the first time, a quantitative-verbal matrix has been developed using a functional dependence - the error function, which allows to translate different variants of verbal assessments into a coded numerical dimensionless scale. This will make it possible to obtain numerical estimates of the functioning of the occupational safety system in quantitative terms and obtain information on management. For the first time, the density function of assessments of single occupational safety indicators on a dimensionless scale was obtained using a functional dependence that allowed us to find the probability of the measured value falling into any assessment interval, provided that the law of distribution of numerical values of single occupational safety indicators corresponds to the normal law. This made it possible to develop a risk assessment methodology that can be applied to any type of production and enterprise. For the first time, a density function of assessments of single occupational safety indicators on a dimensionless scale was obtained using a functional dependence that allowed finding the probability of the measured value falling into any assessment interval, provided that the law of distribution of numerical values of single occupational safety indicators follows a uniform distribution law. The introduction substantiates the relevance of the topic, formulates the purpose and objectives of the dissertation, defines the scientific novelty and practical value of the results obtained, and provides a general description of the work. The first chapter analyses the existing scientific approaches to quantitative quality assessment of both qualimetry objects of various nature and processes and systems, including occupational safety systems. A number of modern scientific works related to the assessment of quality, processes and services are considered, their shortcomings and possible limits of application are identified. An analysis of current scientific research on occupational safety and health assessment, quantitative hazard risk assessment, and methods of hazard identification and occupational risk assessment is carried out. The second chapter considers the system of occupational safety management at an enterprise as a complex system. Therefore, it is proposed to obtain a comprehensive assessment of its quality. For this purpose, it is proposed to use verbal scales, since the assessment of single quality indicators can be obtained by interviewing employees of a given enterprise. As a functional dependency, it is proposed to use the Error Function, which has a shape parameter and a shift parameter. The article also proposes a methodology for obtaining quantitative assessments of the occupational health and safety management system with a large number of indicators. The developed methodology makes it possible to obtain numerical values of verbal assessments, which allows applying the methods of mathematical statistics to solve practical management problems in occupational health and safety management systems. The scientific value of the proposed methodology lies in its versatility. The third section proposes a methodology for determining a comprehensive assessment of working conditions, which consists of a number of steps. To confirm the efficiency of the methodology for assessing labour safety, a study was conducted at a machine-building enterprise. For the purpose of the assessment, we considered harmful production factors in the shop. It was determined that the main harmful production factors in the shop are: microclimate, noise, local vibration. For a comprehensive assessment of occupational safety at work, we used the numerical integration method of average rectangles. The proposed methodology can be considered universal, as it can be applied to any premises and enterprises. In the fourth chapter, the density function was defined on a dimensionless scale, which is the probability of the risk of the measured value of a factor falling into any interval from 0 to 1, provided that the law of distribution of random factors is normal. The density function of functionally dependent random variables of quality indicators estimates has been determined, provided that the quality indicators follow a uniform distribution law. The method was tested and the probabilities of random variables falling into a given evaluation interval were determined.