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Methodology for Quantifying the Risk of Occupational Accident and / or Disease Specific to Complex Technical Systems

Methodology for Quantifying the Risk of Occupational Accident and / or Disease Specific to... Revista Minelor – Mining Revue ISSN-L 1220-2053 / ISSN 2247-8590 vol. 28, issue 2 / 2022, pp. 54-62 METHODOLOGY FOR QUANTIFYING THE RISK OF OCCUPATIONAL ACCIDENT AND / OR DISEASE SPECIFIC TO COMPLEX TECHNICAL SYSTEMS 1 2* Daniela FURDUI (PEAGU) , Sorin Mihai RADU University of Petroșani, Petroșani, Romania Department of Mechanical, Industrial and Transports Engineering, University of Petroșani, Petroșani, Romania sorin_mihai_radu@yahoo.com DOI: 10.2478/minrv-2022-0015 Abstract: This paper presents a scientific research in the field of the risk assessment, in order to secure the activities carried out in the presence of specific hazards of industrial work systems. The methodology for quantifying the risk of occupational is an innovative tool which highlights the analytical solution for quantify the occupational risks with impact, both on the human component, as well as at the level of the other component elements specific to the work systems. Keywords: accidents, industrial work systems, hazard, risk 1. Technical aspects specific the process of occurrence of the injury phenomenon The comprehensiveness of total risk makes the systemic assessment and management of risk tractable from many perspectives. The expected value of risk is an operation that essentially multiplies the consequences of each event by its probability of occurrence and sum (or integrates) all these products over the entire universe of events [1]. This operation literally commensurate adverse event of high consequences and low probabilities with events of low consequences and high probabilities. The mechanism of occurrence the working accident in the labour system is based on the work-specific risk generator and the time at which a certain lucrative activity takes place depending on the exposure to the risk factors. At any type of work activity there are risk factors associated to the potential hazards that can lead to accidents at work or occupational diseases. 2. Quantification of the global risk Mathematically, the values of the level of global risk (N ) can be calculated based on the rank of global risk 𝑗 =1,4 the risk factor (𝑟 ) and the level of risk (R ), as follows relation [2] (1): 𝑗 =1,4 00 ̅̅̅̅ 𝑖 =1,9 ̅̅̅̅ 𝑖 =1,9 𝟏 𝟐 𝟑 𝟒 (𝑟 1 𝐑 )+(𝑟 𝐑 )+(𝑟 𝐑 )+(𝑟 4 𝐑 ) 2 3 R ̅̅̅̅ R ̅̅̅̅ R ̅̅̅̅ R ̅̅̅̅ 𝐢 =𝟏 ,𝟓 𝐢 =𝟏 ,𝟕 𝐢 =𝟏 ,𝟗 𝐢 =𝟏 ,𝟖 00 00 00 00 ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ i=1,5 i=1,7 i=1,9 i=1,8 N = (1) 𝑏𝑎𝑙𝑙𝑔𝑜 𝑟 + 𝑟 + 𝑟 𝑟 1 2 3 4 R R R + R 00 00 00 00 ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ i=1,5 i=1 ̅̅,̅7 ̅ i=1,9 i=1,8 - For risks generated by the work equipment available and the materials and substances used. These types of risks are generated by the endowment of the workplace in the basic location but also in other locations where the worker is occasionally or conjecturally: Corresponding author: Radu Sorin Mihai, prof. Ph.D. eng., University of Petrosani, Petrosani, Romania, (University of Petrosani, 20 University Street, sorin_mihai_radu@yahoo.com) 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑜𝑜 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 𝟏 𝟏 𝑟 1 𝐑 𝐑 00 𝟏 𝟏 1.00 𝟏 𝟏 𝑟 1 R 𝐑 𝐑 2 𝟐 𝟐 1.00 𝟏 𝟏 𝟏 𝑟 1 𝑟 1 𝐑 = R 𝑥 𝐑 = 𝑟 𝑥 𝐑 00 1.00 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝐢 =𝟏 ,𝟓 3 𝟑 𝟑 ̅̅̅̅ i=1,5 𝑟 1 𝟏 𝟏 1.00 𝐑 𝐑 𝟒 𝟒 [ ] 1.00 𝑟 1 𝟏 𝟏 [ 00 ] 5 𝐑 𝐑 [ ] [ ] 𝟓 𝟓 where: 𝟏 𝟏 𝐑 = 𝐑 [ ] [ ] Technical equipment 𝟏 𝟏 [𝐑 ] = [𝐑 ] Tools [𝐑 ] = = [𝐑 ] Energy sources that put work equipment into operation,or from the place where the intervention is made or in the conjectural location 𝟏 𝟏 [𝐑 ] = [𝐑 ] Materials and substances used in the work process or in connection with the work process [𝐑 ] = [𝐑 ] Other risks generated - For risks generated by the work environment in which the worker is in the work process: 𝟐 𝟐 𝐑 𝐑 𝟏 𝟏 𝑟 2 R 𝟐 𝟐 1.00 𝐑 𝐑 𝟐 𝟐 𝑟 2 R 1.00 𝟐 𝟐 𝐑 𝐑 𝟑 𝟑 𝑟 2 1.00 3 𝟐 𝟐 𝐑 𝐑 𝑟 2 𝐑 = 𝑥 = 𝑟 𝑥 1.00 ̅̅̅̅ 𝑟 2 𝟒 𝑟𝑜𝑓𝑎𝑐𝑡 𝟒 R 𝐢 =𝟏 ,𝟕 ̅̅̅̅ R i=1,7 00 𝟐 𝟐 1.00 𝐑 𝐑 𝟓 𝟓 5 0.33 𝟐 𝟐 2 𝐑 𝐑 ̅̅̅̅̅̅̅̅̅̅̅ [ ] ̅̅̅̅̅̅̅̅̅̅̅ 𝟔 ,𝟔 1.00 𝟔 ,𝟔 ̅̅01 ̅̅̅̅̅̅̅03 ̅̅̅ [ ] 6 ,6 𝟐 𝟐 𝐑 𝐑 [ ] [ ] 𝟕 𝟕 where: [𝐑 ] = [𝐑 ] Generators related to weather conditions,temperature,brightness,air pressure,relative humidity 𝟐 𝟐 𝐑 = 𝐑 [ ] [ ] Chemical agents 𝟐 𝟐 [𝐑 ] = [𝐑 ] Biological agents [𝐑 ] = [𝐑 ] Dangerous animals and persons 𝟐 𝟐 𝐑 = 𝐑 [ ] [ ] Dangerous meteorological situations,geological et.al. 𝟐 𝟐 [𝐑 ] = [𝐑 ] Hazardous situations generated by other jobs in the vicinity of the assessed job [𝐑 ] = [𝐑 ] Noise [𝐑 ] = [𝐑 ] Noise [𝐑 ] = [𝐑 ] Vibrations [𝐑 ] = = 𝐑 [ ] Risk−generating lucrative activities,carried out in jobs in the immediate vicinity of the assessed workplace or in the vicinity of the workplace where the intervention takes place or in the vicinity of the conjunctural place 𝟐 𝟐 [𝐑 ] = [𝐑 ] other environmental situations - Risks generated by the employer and other factors responsible internally and externally to the employer who according to the law have certain obligations and responsibilities in the field of OSH [3]: 𝟎𝟎 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟏 𝟎𝟑 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 𝟑 𝟑 𝐑 𝐑 𝑟 3 𝟏 𝟏 𝟑 𝟑 𝐑 𝐑 𝑟 ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ R 𝟐 ,𝟐 𝟐 ,𝟐 1.00 ̅̅̅̅̅̅̅̅̅̅̅̅ 01 04 2 ,2 𝟑 𝟑 𝑟 3 𝐑 0.25 𝐑 00 𝟑 𝟑 1.00 𝟑 𝟑 𝑟 3 𝐑 𝐑 R ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅ 01 05 𝟒 ,𝟒 𝟒 ,𝟒 4 ,4 0.20 𝟑 𝟑 𝟑 𝑟 3 𝑟 3 𝐑 = R 𝑥 𝐑 = 𝑟 𝑥 𝐑 ̅̅̅̅̅̅̅̅̅̅̅̅ 1.00 01 03 ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝐢 =𝟏 ,𝟗 5 ,5 00 𝟓 ,𝟓 𝟓 ,𝟓 ̅̅̅̅ i=1,9 𝑟 3 1.00 𝟑 𝟑 𝐑 𝐑 𝟔 𝟔 1.00 𝑟 3 R 𝟑 𝟑 𝐑 𝐑 1.00 𝟕 𝟕 𝑟 3 [ ] 00 𝟑 𝟑 0.25 𝐑 𝐑 𝟖 𝟖 𝑟 3 ̅̅01 ̅̅̅̅̅̅̅04 ̅̅̅ [ ] 𝟑 𝟑 9 ,9 𝐑 𝐑 ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ 𝟗 ,𝟗 𝟗 ,𝟗 where: 𝟑 𝟑 [𝐑 ] = [𝐑 ] Risks generated by the employer when framing with workers of the evaluated job [𝐑 ] = [𝐑 ] Risks posed by persons responsible for training workers in the assessed job 𝟑 𝟑 [𝐑 ] = [𝐑 ] General introductory training 𝟑 𝟑 [𝐑 ] = [𝐑 ] On−the−job training 𝐑 = 𝐑 [ ] [ ] Regular training 𝟑 𝟑 [𝐑 ] = [𝐑 ] Return−to−work training [𝐑 ] = = 𝐑 [ ] Risks posed by persons who should ensure the proper functioning of the work equipment that is in the endowment of the assessed job,maintenance,repairs,service et.al. [𝐑 ] = = [𝐑 ] Risks posed by persons providing personal protective equipment (PPE) to workers at the assessed workplace 𝟑 𝟑 [𝐑 ] = [𝐑 ] Purchase of PPE 𝟑 𝟑 [𝐑 ] = [𝐑 ] PPE compliance [𝐑 ] = [𝐑 ] If the purchased PPE provides protection against the assessed risks 𝟑 𝟑 [𝐑 ] = [𝐑 ] If the PPE has a service life correctly calculated 𝟑 𝟑 [𝐑 ] = [𝐑 ] If PPE is replaced whenever necessary 𝐑 = 𝐑 [ ] [ ] Risks posed by persons who should monitor the health of workers 𝟑 𝟑 [𝐑 ] = [𝐑 ] Medical control at employment [𝐑 ] = [𝐑 ] Periodic medical check−up 𝟑 𝟑 [𝐑 ] = [𝐑 ] Medical examination at the request of the worker 𝟑 𝟑 [𝐑 ] == [𝐑 ] Risks posed by people who should do special checks and do not do them at the assessed workplace [𝐑 ] = = [𝐑 ] Risks posed by persons who should provide OSH signalling in the workplace whether or not they provide staff training 𝟑 𝟐 𝐑 = 𝐑 [ ] [ ] Risks posed by people who should provide first aid at the assessed workplace 𝟑 𝟑 [𝐑 ] = [𝐑 ] Risks posed by job leaders for the assessed job [𝐑 ] = [𝐑 ] If they are or not professionally trained 𝟑 𝟑 [𝐑 ] = [𝐑 ] If the selection is made on the principle of competence [𝐑 ] = [𝐑 ] If they know how to formulate,transmit work tasks and control how they are accomplished 𝟑 𝟑 [𝐑 ] = [𝐑 ] If they know how to properly manage the situations at the evaluated workplace 𝟎𝟒 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟓 𝟎𝟒 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟒 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟓 𝟎𝟏 𝟎𝟓 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟏 𝑟𝑖𝑠𝑘 𝟎𝟑 𝟎𝟏 𝟎𝟎 𝟎𝟓 𝟎𝟏 𝟎𝟓 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟒 𝟎𝟏 𝟎𝟒 𝟎𝟏 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 - Risks generated by the employee: 𝟒 𝟒 𝐑 𝐑 𝑟 4 𝟏 𝟏 𝟒 𝟒 𝑟 4 𝐑 1.00 𝐑 𝟐 𝟐 𝟒 1.00 𝟒 𝑟 4 𝐑 𝐑 𝟑 𝟑 1.00 𝟒 𝟒 𝑟 4 𝐑 𝐑 1.00 𝟒 4 𝟒 𝟒 𝑟 4 𝐑 = 𝑥 = 𝑟 𝑥 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝑟 4 𝟒 𝟒 00 𝐢 =𝟏 ,𝟖 ̅̅̅̅ 1.00 i=1,8 R 00 𝐑 𝐑 𝟓 𝟓 𝑟 4 1.00 𝟒 𝟒 𝐑 𝐑 𝟔 𝟔 1.00 𝑟 4 R 𝟒 𝟒 7 [ ] 𝐑 𝐑 1.00 𝟕 𝟕 𝑟 4 [ ] 𝟒 𝟒 𝐑 𝐑 𝟖 𝟖 where: [𝐑 ] = [𝐑 ] If he knows the hierarchical structure − direct bosses and the immediate bosses 𝟒 𝟒 [𝐑 ] = [𝐑 ] If he knows the significance of the existing signs and signals at the workplace [𝐑 ] = [𝐑 ] If he knows how to use,maintenance and replacement of PPE 𝟒 𝟒 𝐑 = 𝐑 [ ] [ ] If he knows how to remedy any non−conformities that may occur at work 𝟒 𝟒 [𝐑 ] = [𝐑 ] If there are working procedures available to the worker and if he knows them [𝐑 ] = = 𝐑 [ ] If the workers in the evaluated job have physical,mental,moral,intellectual,professional qualities corresponding to the evaluated job 𝐑 = [ ] = [𝐑 ] If the workers in the assessed job have had disciplinary offenses,occupational diseases,accidents at work or incidents 𝟒 𝟒 [𝐑 ] = [𝐑 ] Other risks generated by the executor in the work process Starting from the risks listed above, we define the domains of definition of the risk function R, as follows: 1 2 4 R = f(R , R , R , R ), (2) 00 00 00 00 ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ i=1,5 i=1,7 i=1,9 i=1,8 ̅̅̅̅̅̅̅ 𝑚 =I,VIII In the case of a normal 8-hour work schedule, the values of the risk factor correction coefficient (𝑘 ) ̅̅̅̅ 𝑖 =1,9 ̅̅̅̅̅̅̅ depending on the exposure for different scenarios (𝑚 = I, VIII) are shown in Table 1: Table 1 Time 1 2 3 4 5 6 7 8 (h) (h) (h) (h) (h) (h) (h) (h) (h) Scenario I II III IV V VI VII VIII Exposure -1 -1 -1 -1 -1 -1 -1 -1 1.3x10 2.5x10 3.8x10 5.0x10 6.3x10 7.5x10 8.8x10 10.0x10 (h) If we take into account the quantitative ratio that exists at group and subgroup level, transforming the weighting result into a scaled value that constitutes the momentary value of the range of values corresponding to the rank of the risk factor, results the following mathematical relation [4, 5]: - For risks generated by the work equipment available and the materials and substances used, according to the Table1 (𝑚 = I̅,̅̅ VIII ̅̅̅): 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 1 𝟏 𝟏 𝐑 𝐑 𝟏 𝟏 𝟏 𝟏 𝑟 1 R 𝐑 𝐑 2 𝟐 𝟐 𝑚 ̅̅̅̅̅̅̅ 𝟏 𝟏 𝑚 =I,VIII 𝟏 𝑟 1 𝑟 1 𝐑 = 𝑥 𝐑 = [𝑘 ] 𝑟 𝑥 𝐑 ̅̅̅̅ 00 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 𝐢 =𝟏 ,𝟓 3 𝟑 𝑖 =1,5 𝟑 i=1 ̅̅,̅5 ̅ 𝟏 𝟏 𝑟 1 𝐑 𝐑 𝟒 𝟒 𝑚 𝟏 𝟏 𝑟 1 𝐑 𝐑 [ ] [ ] [ 00 ] 𝟓 𝟓 ̅̅̅̅ 𝑖 =1,5 II −1 1.3x10 ̅̅̅̅ 𝑖 =1,5 −1 III 2.5x10 ̅̅̅̅ 𝑖 =1,5 −1 3.8x10 IV 𝑘 −1 ̅̅̅̅̅̅̅ ̅̅̅̅ 𝑖 =1,5 𝑚 =I,VIII 5.0x10 [𝑘 ] = = ̅̅̅̅ 𝑖 =1,5 V −1 6.3x10 ̅̅̅̅ 𝑖 =1,5 −1 7.5x10 VI ̅̅̅̅ 𝑖 =1,5 −1 8.8x10 VII −1 𝑘 [ ] ̅̅̅̅ 10.0x10 𝑖 =1,5 VIII ̅̅̅̅ [ ] 𝑖 =1,5 For risks generated by the work environment in which the worker is in the work process, according to ̅̅̅̅̅̅̅ the Table 1 (𝑚 = I, VIII): 𝟐 𝟐 𝐑 𝐑 𝟏 𝟏 𝟐 𝟐 𝑟 2 𝐑 𝐑 𝟐 𝟐 𝑚 𝟐 𝟐 𝑟 2 𝐑 𝐑 00 𝟑 𝟑 𝟐 𝟐 𝑟 2 𝐑 𝐑 𝟒 𝟒 ̅̅̅̅̅̅̅ 𝑚 =I,VIII 𝟐 𝟐 𝟐 𝑟 𝐑 = 𝑥 𝐑 = [𝑘 ] 𝑟 𝑥 𝐑 𝑟 2 ̅̅̅̅ ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝑖 =1,7 𝐢 =𝟏 ,𝟕 R 𝟓 𝟓 ̅̅̅̅ 00 i=1,7 𝟐 𝟐 𝐑 𝐑 𝑟 2 𝟔 𝟔 𝟐 𝟐 𝐑 𝐑 𝑟 2 R 𝟔 𝟔 𝟐 𝟐 𝑟 2 𝐑 𝐑 03 𝟔 𝟔 𝟐 𝟐 𝑟 2 𝐑 𝐑 [ 00 ] 𝟕 𝟕 ̅̅̅̅ 𝑖 =1,5,7 II −1 −2 ̅̅̅̅ 1.3x10 4.125x10 𝑖 =1,5,7 −1 −2 III 2.5x10 8.250x10 ̅̅̅̅ 𝑖 =1,5,7 −1 −2 3.8x10 12.375x10 IV 𝑘 −1 −2 ̅̅̅̅ ̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅ 𝑚 =I,VIII 𝑖 =1,5,7 𝑚 =I,VIII 5.0x10 16.500x10 [𝑘 ] = = , [𝑘 ] = ̅̅̅̅ ̅̅01 ̅̅̅̅̅̅ 03 ̅̅ 𝑖 =1,7 −1 −2 V 𝑖 =6 ,6 6.3x10 20.625x10 ̅̅̅̅ 𝑖 =1,5,7 −1 −2 7.5x10 24.750x10 VI ̅̅̅̅ −1 −2 𝑖 =1,5,7 8.8x10 28.875x10 VII −1 −2 [ ] [ ] ̅̅̅̅ 10.0x10 33.000x10 𝑖 =1,5,7 VIII [ ̅̅̅̅ ] 𝑖 =1,5,7 - For risks generated by the employer and other factors responsible internally and externally to the employer who according to the law have certain obligations and responsibilities in the field of OSH, ̅̅̅̅̅̅̅ according to the Table 1 (𝑚 = I, VIII): 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝑟 3 𝟏 𝟏 𝟑 𝟑 𝐑 𝐑 𝟐 𝟐 𝑟 3 2 𝟑 𝟑 𝐑 𝐑 𝟐 𝟐 𝑟 3 R 𝟑 𝟑 𝐑 𝐑 𝟐 𝟐 𝑟 3 𝟑 𝟑 04 𝐑 𝐑 𝟐 𝟐 𝟑 𝟑 𝑟 3 𝐑 𝐑 𝟑 𝟑 𝑚 𝟑 𝟑 𝑟 3 𝐑 𝐑 01 𝟒 𝟒 𝟑 𝟑 𝑟 3 𝐑 𝐑 𝟒 𝟒 𝟑 𝟑 𝐑 𝐑 𝑟 3 R 𝟒 𝟒 ̅̅̅̅̅̅̅ 𝟑 𝟑 𝑚 =I,VIII 𝟑 𝑟 3 𝐑 = 𝑥 𝐑 = [𝑘 ] 𝑟 𝑥 𝐑 ̅̅̅̅ 𝑟 3 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 𝐢 =𝟏 ,𝟗 𝟒 𝑖 =1,9 𝟒 00 R i=1 ̅̅,̅9 ̅ 04 𝟑 𝟑 𝑚 𝐑 𝐑 𝑟 3 𝟒 𝟒 𝟑 𝟑 𝑚 𝐑 𝐑 𝑟 3 𝟓 𝟓 𝟑 𝟑 𝐑 𝐑 𝟔 𝟔 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝟕 𝟕 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝑚 𝟖 𝟖 𝑟 3 00 𝟑 𝟑 𝐑 𝐑 𝟗 𝟗 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝟗 𝟗 𝑟 3 R 𝟑 𝟑 𝐑 𝐑 𝟗 𝟗 𝑟 3 𝟑 𝟑 9 𝐑 𝐑 𝟗 𝟗 𝑟 3 [ 04 ] ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ 𝑘 𝑖 =2 ,2 ,9 ,9 ̅̅̅̅ 𝑖 =1,3,5,8 II −1 −2 II ̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅ 1.3x10 01 04 01 04 3.125x10 𝑖 =2 ,2 ,9 ,9 ̅̅̅̅ 𝑖 =1,3,5,8 −1 −2 III III 2.5x10 6.250x10 𝑘 ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅̅̅ 𝑖 =2 ,2 ,9 ,9 𝑖 =1,3,5,8 −1 −2 3.8x10 9.375x10 IV IV −1 𝑘 −2 𝑘 ̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅ 01 04 01 04 ̅̅̅̅ ̅̅̅̅̅ 𝑖 =1,3,5,8 ̅̅̅̅̅ 𝑖 =2 ,2 ,9 ,9 𝑚 =I,VIII 5.0x10 𝑚 =I,VIII 12.500x10 [𝑘 ] = = ,[𝑘 ] = = , ̅̅̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ V −1 V −2 𝑖 =1,3,5,8 𝑖 =2 ,2 ,9 ,9 𝑘 6.3x10 𝑘 15.625x10 ̅̅̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ 𝑖 =1,3,5,8 𝑖 =2 ,2 ,9 ,9 −1 −2 VI 7.5x10 VI 18.750x10 ̅̅̅̅ 𝑖 =1,3,5,8 ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ −1 𝑖 =2 ,2 ,9 ,9 −2 8.8x10 21.875x10 VII VII −1 −2 ̅̅̅̅ 𝑘 𝑖 =1,3,5,8 [ ] [ ] ̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅ 10.0x10 01 04 01 04 25.000x10 𝑖 =2 ,2 ,9 ,9 VIII VIII [ ̅̅̅̅] 𝑖 =1,3,5,8 𝑘 ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ [ ] 𝑖 =2 ,2 ,9 ,9 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 𝑖 =4 ,4 II −2 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 2.500x10 𝑖 =4 ,4 −2 III 5.000x10 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 𝑖 =4 ,4 −2 7.500x10 IV −2 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ ̅̅̅̅̅ 𝑖 =4 ,4 𝑚 =I,VIII 10.000x10 [𝑘 ] = = ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ V −2 𝑖 =4 ,4 𝑘 12.500x10 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 𝑖 =4 ,4 −2 15.000x10 VI ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ −2 𝑖 =4 ,4 17.500x10 VII −2 𝑘 [ ] ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 20.000x10 𝑖 =4 ,4 VIII ̅̅̅̅̅̅̅̅̅̅̅ 01 05 [ ] 𝑖 =4 ,4 𝟎𝟒 𝟎𝟒 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟓 𝟎𝟓 𝑟𝑖𝑠𝑘 𝟎𝟒 𝟎𝟒 𝟎𝟎 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟒 𝟎𝟒 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 - For risks generated by the employee: 𝑟 4 𝟒 𝟒 𝐑 𝐑 1 𝟎𝟎 𝟎𝟎 𝟏 𝟏 𝑟 4 𝟒 𝟒 𝐑 𝐑 𝟎𝟎 𝟎𝟎 𝟐 𝟐 𝑟 4 𝟒 𝟒 𝐑 𝐑 00 𝟎𝟎 𝟎𝟎 𝟑 𝟑 𝟒 𝟒 R 𝐑 𝐑 𝟎𝟎 𝟎𝟎 ̅̅̅̅̅ 4 𝟒 𝑚 =I,VIII 𝟒 𝑚 𝟒 𝑟 4 𝐑 = 𝑥 = [𝑘 ]𝑟 𝑥 𝟎𝟎 ̅̅̅̅ 𝑚 ̅̅̅̅ 𝑟𝑘𝑖𝑠 𝑓𝑐𝑡𝑜𝑟𝑎 𝐢 =𝟏 ,𝟖 𝟒 𝑖 =1,8 𝟒 ̅̅̅̅ 𝑟 4 i=1,8 𝐑 𝐑 R 𝟎𝟎 𝟎𝟎 𝟓 𝟓 𝑚 𝟒 𝟒 𝑟 4 𝐑 𝐑 𝟎𝟎 𝟎𝟎 𝟔 𝟔 𝟒 𝟒 𝑟 4 𝐑 𝐑 𝟎𝟎 𝟎𝟎 𝟕 𝟕 𝟒 𝟒 4 𝐑 𝐑 𝑟 𝟎𝟎 𝟎𝟎 R 𝟖 𝟖 [ 00 ] ̅̅̅̅ 𝑖 =1,8 −1 II 1.3x10 ̅̅̅̅ 𝑖 =1,8 −1 2.5x10 III ̅̅̅̅ 𝑖 =1,8 −1 3.8x10 IV 𝑘 −1 ̅̅̅̅ 𝑚 =I̅,̅ VI ̅̅I̅I 𝑖 =1,8 5.0x10 [𝑘 ] = = ̅̅̅̅ V 𝑖 =1,8 −1 6.3x10 ̅̅̅̅ 𝑖 =1,8 −1 VI 7.5x10 ̅̅̅̅ 𝑖 =1,8 −1 8.8x10 VII −1 ̅̅̅̅ 𝑖 =1,8 [ ] 10.0x10 VIII [ ̅̅̅̅] 𝑖 =1,8 In the case of a total or partial exposure, we obtain the results that obtained by used the above mathematical relations and Table 2. Table 2 The fact of multiplying the rank of the risk factor, The fact of multiplying the associated with the risk rank of the risk factor, Rank value group according to the associated with the risk based on hourly exposure Group of Risk subgroup exposure risks subgroup The value ̅̅̅̅̅ 𝑚 =I,VIII The value ̅̅̅̅ 𝑖 =1,9 of the Exposure time Exposure of the multiplication m=I÷VIII time multiplication fact m=I÷VIII fact −1 −1 R 1.00 1.3x10 1.3x10 i=1 −1 −1 1.00 2.5x10 2.5x10 R 00 −1 −1 i=2 1.00 3.8x10 3.8x10 𝟏 −1 −1 1.00 5.0x10 5.0x10 𝟎𝟎 ̅̅̅̅ 1 𝐢 =𝟏 ,𝟓 i=3 −1 −1 1.00 6.3x10 6.3x10 −1 −1 1 1.00 7.5x10 7.5x10 i=4 −1 −1 1.00 8.8x10 8.8x10 1 −1 −1 R 1.00 10.0x10 10.0x10 i=5 2 −1 −1 1.00 R 1.3x10 1.3x10 i=1 𝟎𝟎 ̅̅̅̅ −1 −1 𝐢 =𝟏 ,𝟔 1.00 2.5x10 2.5x10 i=2 −1 −1 1.00 3.8x10 3.8x10 60 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 −1 −1 R 00 1.00 5.0x10 5.0x10 i=3 −1 −1 1.00 6.3x10 6.3x10 R 00 i=4 −1 −1 1.00 7.5x10 7.5x10 R 00 i=5 −1 −1 1.00 8.8x10 8.8x10 −1 −1 1.00 10.0x10 10.0x10 i=7 −1 −2 1.3x10 4.125x10 −1 −2 2.5x10 8.250x10 −1 −2 01 3.8x10 12.375x10 i=6 2 2 −1 −2 5.0x10 R 00 R 02 16.500x10 i=6 i=6 0.33 −1 −2 6.3x10 20.625x10 i=6 −1 −2 7.5x10 24.750x10 −1 −2 8.8x10 28.875x10 −1 −2 10.0x10 33.000x10 −1 −1 1.00 1.3x10 1.3x10 𝟎𝟎 ̅̅̅̅ R 00 𝐢 =𝟏 ,𝟗 i=1 −1 −1 3 1.00 2.5x10 2.5x10 i=3 −1 −1 1.00 3.8x10 3.8x10 i=5 −1 −1 1.00 5.0x10 5.0x10 R 00 −1 −1 i=6 1.00 6.3x10 6.3x10 R −1 −1 i=7 1.00 7.5x10 7.5x10 −1 −1 1.00 8.8x10 8.8x10 i=8 −1 −1 1.00 10.0x10 10.0x10 −1 −2 1.3x10 3.125x10 −1 −2 3 2.5x10 6.250x10 R 01 i=2 −1 −2 3 3.8x10 9.375x10 R 02 i=2 −1 −2 i=2 5.0x10 12.500x10 0.25 i=2 −1 −2 6.3x10 15.625x10 R 04 −1 −2 i=2 7.5x10 18.750x10 −1 −2 8.8x10 21.875x10 −1 −2 10.0x10 25.000x10 −1 −2 1.3x10 2.500x10 −1 −2 2.5x10 5.000x10 i=4 −1 −2 R 02 3.8x10 7.500x10 3 i=4 R 00 −1 −2 i=4 5.0x10 10.000x10 R 03 i=4 0,20 −1 −2 6.3x10 12.500x10 i=4 −1 −2 7.5x10 15.000x10 R 05 i=4 −1 −2 8.8x10 17.500x10 −1 −2 10.0x10 20.000x10 3 −1 −2 R 1.3x10 3.125x10 i=9 −1 −2 2.5x10 6.250x10 −1 −2 R 02 3.8x10 9.375x10 i=9 −1 −2 00 5.0x10 12.500x10 i=9 −1 −2 0.25 R 03 6.3x10 15.625x10 i=9 −1 −2 7.5x10 18.750x10 −1 −2 8.8x10 21.875x10 −1 −2 i=9 10.0x10 25.000x10 𝟒 −1 −1 1.00 1.3x10 1.3x10 𝟎𝟎 ̅̅̅̅ R 00 𝐢 =𝟏 ,𝟖 i=1 −1 −1 4 1.00 2.5x10 2.5x10 R 00 i=3 −1 −1 1.00 3.8x10 3.8x10 R 00 −1 −1 i=5 1.00 5.0x10 5.0x10 −1 −1 i=6 1.00 6.3x10 6.3x10 R 00 −1 −1 i=7 1.00 7.5x10 7.5x10 −1 −1 i=8 1.00 8.8x10 8.8x10 −1 −1 1.00 10.0x10 10.0x10 61 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 3. Interpretation of the results obtained This methodological tool for quantifying risk parameters has been developed for risk estimation and assessment, in order to diagnose and predict the probabilities of the injurie phenomenon that can manifest itself at the level of a complex work system. For the purpose of this paper, risk is defined as a measure of the probability and severity of harm (adverse effects) because measuring risk is an empirical, quantitative, scientific activity. The premise that risk assessment must be an integral part of the overall decision-making process necessitates following a systemic, holistic approach to dealing with risk. Such a holistic approach builds on the principals and philosophy upon which system analysis and safety system engineering are grounded. Applying this method, for the same type of different activity evaluated, at the same time, for the same work point, many evaluators, independent of each other, finally obtain approximate equal results. At the same time, the method is flexible, allowing its adaptation to any work system with activity in the normal or potential explosive environment and to any organizational structure where the human component is analysed in the work process. 4. Conclusions For determining the risk, this methodical tool is a modern technique used to identify and assess occupational risk factors for quantifying the risk indicators was developed, in order to make the diagnosis and the plausible forecast of the mechanism of occurrence of an undesirable event. This method is flexible allowing its adaptation to any work system for different types of activities for which specific risk categories and subcategories and to any organizational structure where the human component is analysed in the work process. References [1] Gabor D.S., Radu S.M., 2021 An innovative method for testing electronic detonating caps regarding sensitivity to electrostatic discharges, Mining Revue, Vol. 27, Nr. 1/2021, pp. 61-65, ISSN-L 1220-2053 / ISSN 2247-8590 [2] Marhavilas K., 2008 A risk-estimation methodological framework using quantitative assessment techniques and real accidents' data: Application in an aluminum extrusion industry, Journal of loss prevention in the process industries, 21, 596 – 603, 2008. [3] Pece, Şt., 2010 Risk assessment in the workplace, Rubin Publishing House, Galaţi, Romania [4] Vasilescu G.D., 2008 Probability calculation methods used for industrial risk diagnose and prediction (in Romanian), INSEMEX Publishing, Petrosani, Romania, ISBN 978-973-88753-2-6. [5] Vasilescu G.D., 2008 Unconventional methods for the professional risk analysis and evaluation (in Romanian), INSEMEX Publishing, Petrosani, Romania, ISBN 978-973-88590-0-5. This article is an open access article distributed under the Creative Commons BY SA 4.0 license. Authors retain all copyrights and agree to the terms of the above-mentioned CC BY SA 4.0 license. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mining Revue de Gruyter

Methodology for Quantifying the Risk of Occupational Accident and / or Disease Specific to Complex Technical Systems

Furdui Peagu, Daniela; Radu, Sorin Mihai
Mining Revue , Volume 28 (2): 9 – Jun 1, 2022
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de Gruyter
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© 2022 Daniela Furdui (Peagu) et al., published by Sciendo
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2247-8590
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10.2478/minrv-2022-0015
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Abstract

Revista Minelor – Mining Revue ISSN-L 1220-2053 / ISSN 2247-8590 vol. 28, issue 2 / 2022, pp. 54-62 METHODOLOGY FOR QUANTIFYING THE RISK OF OCCUPATIONAL ACCIDENT AND / OR DISEASE SPECIFIC TO COMPLEX TECHNICAL SYSTEMS 1 2* Daniela FURDUI (PEAGU) , Sorin Mihai RADU University of Petroșani, Petroșani, Romania Department of Mechanical, Industrial and Transports Engineering, University of Petroșani, Petroșani, Romania sorin_mihai_radu@yahoo.com DOI: 10.2478/minrv-2022-0015 Abstract: This paper presents a scientific research in the field of the risk assessment, in order to secure the activities carried out in the presence of specific hazards of industrial work systems. The methodology for quantifying the risk of occupational is an innovative tool which highlights the analytical solution for quantify the occupational risks with impact, both on the human component, as well as at the level of the other component elements specific to the work systems. Keywords: accidents, industrial work systems, hazard, risk 1. Technical aspects specific the process of occurrence of the injury phenomenon The comprehensiveness of total risk makes the systemic assessment and management of risk tractable from many perspectives. The expected value of risk is an operation that essentially multiplies the consequences of each event by its probability of occurrence and sum (or integrates) all these products over the entire universe of events [1]. This operation literally commensurate adverse event of high consequences and low probabilities with events of low consequences and high probabilities. The mechanism of occurrence the working accident in the labour system is based on the work-specific risk generator and the time at which a certain lucrative activity takes place depending on the exposure to the risk factors. At any type of work activity there are risk factors associated to the potential hazards that can lead to accidents at work or occupational diseases. 2. Quantification of the global risk Mathematically, the values of the level of global risk (N ) can be calculated based on the rank of global risk 𝑗 =1,4 the risk factor (𝑟 ) and the level of risk (R ), as follows relation [2] (1): 𝑗 =1,4 00 ̅̅̅̅ 𝑖 =1,9 ̅̅̅̅ 𝑖 =1,9 𝟏 𝟐 𝟑 𝟒 (𝑟 1 𝐑 )+(𝑟 𝐑 )+(𝑟 𝐑 )+(𝑟 4 𝐑 ) 2 3 R ̅̅̅̅ R ̅̅̅̅ R ̅̅̅̅ R ̅̅̅̅ 𝐢 =𝟏 ,𝟓 𝐢 =𝟏 ,𝟕 𝐢 =𝟏 ,𝟗 𝐢 =𝟏 ,𝟖 00 00 00 00 ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ i=1,5 i=1,7 i=1,9 i=1,8 N = (1) 𝑏𝑎𝑙𝑙𝑔𝑜 𝑟 + 𝑟 + 𝑟 𝑟 1 2 3 4 R R R + R 00 00 00 00 ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ i=1,5 i=1 ̅̅,̅7 ̅ i=1,9 i=1,8 - For risks generated by the work equipment available and the materials and substances used. These types of risks are generated by the endowment of the workplace in the basic location but also in other locations where the worker is occasionally or conjecturally: Corresponding author: Radu Sorin Mihai, prof. Ph.D. eng., University of Petrosani, Petrosani, Romania, (University of Petrosani, 20 University Street, sorin_mihai_radu@yahoo.com) 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑜𝑜 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 𝟏 𝟏 𝑟 1 𝐑 𝐑 00 𝟏 𝟏 1.00 𝟏 𝟏 𝑟 1 R 𝐑 𝐑 2 𝟐 𝟐 1.00 𝟏 𝟏 𝟏 𝑟 1 𝑟 1 𝐑 = R 𝑥 𝐑 = 𝑟 𝑥 𝐑 00 1.00 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝐢 =𝟏 ,𝟓 3 𝟑 𝟑 ̅̅̅̅ i=1,5 𝑟 1 𝟏 𝟏 1.00 𝐑 𝐑 𝟒 𝟒 [ ] 1.00 𝑟 1 𝟏 𝟏 [ 00 ] 5 𝐑 𝐑 [ ] [ ] 𝟓 𝟓 where: 𝟏 𝟏 𝐑 = 𝐑 [ ] [ ] Technical equipment 𝟏 𝟏 [𝐑 ] = [𝐑 ] Tools [𝐑 ] = = [𝐑 ] Energy sources that put work equipment into operation,or from the place where the intervention is made or in the conjectural location 𝟏 𝟏 [𝐑 ] = [𝐑 ] Materials and substances used in the work process or in connection with the work process [𝐑 ] = [𝐑 ] Other risks generated - For risks generated by the work environment in which the worker is in the work process: 𝟐 𝟐 𝐑 𝐑 𝟏 𝟏 𝑟 2 R 𝟐 𝟐 1.00 𝐑 𝐑 𝟐 𝟐 𝑟 2 R 1.00 𝟐 𝟐 𝐑 𝐑 𝟑 𝟑 𝑟 2 1.00 3 𝟐 𝟐 𝐑 𝐑 𝑟 2 𝐑 = 𝑥 = 𝑟 𝑥 1.00 ̅̅̅̅ 𝑟 2 𝟒 𝑟𝑜𝑓𝑎𝑐𝑡 𝟒 R 𝐢 =𝟏 ,𝟕 ̅̅̅̅ R i=1,7 00 𝟐 𝟐 1.00 𝐑 𝐑 𝟓 𝟓 5 0.33 𝟐 𝟐 2 𝐑 𝐑 ̅̅̅̅̅̅̅̅̅̅̅ [ ] ̅̅̅̅̅̅̅̅̅̅̅ 𝟔 ,𝟔 1.00 𝟔 ,𝟔 ̅̅01 ̅̅̅̅̅̅̅03 ̅̅̅ [ ] 6 ,6 𝟐 𝟐 𝐑 𝐑 [ ] [ ] 𝟕 𝟕 where: [𝐑 ] = [𝐑 ] Generators related to weather conditions,temperature,brightness,air pressure,relative humidity 𝟐 𝟐 𝐑 = 𝐑 [ ] [ ] Chemical agents 𝟐 𝟐 [𝐑 ] = [𝐑 ] Biological agents [𝐑 ] = [𝐑 ] Dangerous animals and persons 𝟐 𝟐 𝐑 = 𝐑 [ ] [ ] Dangerous meteorological situations,geological et.al. 𝟐 𝟐 [𝐑 ] = [𝐑 ] Hazardous situations generated by other jobs in the vicinity of the assessed job [𝐑 ] = [𝐑 ] Noise [𝐑 ] = [𝐑 ] Noise [𝐑 ] = [𝐑 ] Vibrations [𝐑 ] = = 𝐑 [ ] Risk−generating lucrative activities,carried out in jobs in the immediate vicinity of the assessed workplace or in the vicinity of the workplace where the intervention takes place or in the vicinity of the conjunctural place 𝟐 𝟐 [𝐑 ] = [𝐑 ] other environmental situations - Risks generated by the employer and other factors responsible internally and externally to the employer who according to the law have certain obligations and responsibilities in the field of OSH [3]: 𝟎𝟎 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟏 𝟎𝟑 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 𝟑 𝟑 𝐑 𝐑 𝑟 3 𝟏 𝟏 𝟑 𝟑 𝐑 𝐑 𝑟 ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ R 𝟐 ,𝟐 𝟐 ,𝟐 1.00 ̅̅̅̅̅̅̅̅̅̅̅̅ 01 04 2 ,2 𝟑 𝟑 𝑟 3 𝐑 0.25 𝐑 00 𝟑 𝟑 1.00 𝟑 𝟑 𝑟 3 𝐑 𝐑 R ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅ 01 05 𝟒 ,𝟒 𝟒 ,𝟒 4 ,4 0.20 𝟑 𝟑 𝟑 𝑟 3 𝑟 3 𝐑 = R 𝑥 𝐑 = 𝑟 𝑥 𝐑 ̅̅̅̅̅̅̅̅̅̅̅̅ 1.00 01 03 ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝐢 =𝟏 ,𝟗 5 ,5 00 𝟓 ,𝟓 𝟓 ,𝟓 ̅̅̅̅ i=1,9 𝑟 3 1.00 𝟑 𝟑 𝐑 𝐑 𝟔 𝟔 1.00 𝑟 3 R 𝟑 𝟑 𝐑 𝐑 1.00 𝟕 𝟕 𝑟 3 [ ] 00 𝟑 𝟑 0.25 𝐑 𝐑 𝟖 𝟖 𝑟 3 ̅̅01 ̅̅̅̅̅̅̅04 ̅̅̅ [ ] 𝟑 𝟑 9 ,9 𝐑 𝐑 ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ 𝟗 ,𝟗 𝟗 ,𝟗 where: 𝟑 𝟑 [𝐑 ] = [𝐑 ] Risks generated by the employer when framing with workers of the evaluated job [𝐑 ] = [𝐑 ] Risks posed by persons responsible for training workers in the assessed job 𝟑 𝟑 [𝐑 ] = [𝐑 ] General introductory training 𝟑 𝟑 [𝐑 ] = [𝐑 ] On−the−job training 𝐑 = 𝐑 [ ] [ ] Regular training 𝟑 𝟑 [𝐑 ] = [𝐑 ] Return−to−work training [𝐑 ] = = 𝐑 [ ] Risks posed by persons who should ensure the proper functioning of the work equipment that is in the endowment of the assessed job,maintenance,repairs,service et.al. [𝐑 ] = = [𝐑 ] Risks posed by persons providing personal protective equipment (PPE) to workers at the assessed workplace 𝟑 𝟑 [𝐑 ] = [𝐑 ] Purchase of PPE 𝟑 𝟑 [𝐑 ] = [𝐑 ] PPE compliance [𝐑 ] = [𝐑 ] If the purchased PPE provides protection against the assessed risks 𝟑 𝟑 [𝐑 ] = [𝐑 ] If the PPE has a service life correctly calculated 𝟑 𝟑 [𝐑 ] = [𝐑 ] If PPE is replaced whenever necessary 𝐑 = 𝐑 [ ] [ ] Risks posed by persons who should monitor the health of workers 𝟑 𝟑 [𝐑 ] = [𝐑 ] Medical control at employment [𝐑 ] = [𝐑 ] Periodic medical check−up 𝟑 𝟑 [𝐑 ] = [𝐑 ] Medical examination at the request of the worker 𝟑 𝟑 [𝐑 ] == [𝐑 ] Risks posed by people who should do special checks and do not do them at the assessed workplace [𝐑 ] = = [𝐑 ] Risks posed by persons who should provide OSH signalling in the workplace whether or not they provide staff training 𝟑 𝟐 𝐑 = 𝐑 [ ] [ ] Risks posed by people who should provide first aid at the assessed workplace 𝟑 𝟑 [𝐑 ] = [𝐑 ] Risks posed by job leaders for the assessed job [𝐑 ] = [𝐑 ] If they are or not professionally trained 𝟑 𝟑 [𝐑 ] = [𝐑 ] If the selection is made on the principle of competence [𝐑 ] = [𝐑 ] If they know how to formulate,transmit work tasks and control how they are accomplished 𝟑 𝟑 [𝐑 ] = [𝐑 ] If they know how to properly manage the situations at the evaluated workplace 𝟎𝟒 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟓 𝟎𝟒 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟒 𝟎𝟑 𝟎𝟐 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟓 𝟎𝟏 𝟎𝟓 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟏 𝑟𝑖𝑠𝑘 𝟎𝟑 𝟎𝟏 𝟎𝟎 𝟎𝟓 𝟎𝟏 𝟎𝟓 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟒 𝟎𝟏 𝟎𝟒 𝟎𝟏 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 - Risks generated by the employee: 𝟒 𝟒 𝐑 𝐑 𝑟 4 𝟏 𝟏 𝟒 𝟒 𝑟 4 𝐑 1.00 𝐑 𝟐 𝟐 𝟒 1.00 𝟒 𝑟 4 𝐑 𝐑 𝟑 𝟑 1.00 𝟒 𝟒 𝑟 4 𝐑 𝐑 1.00 𝟒 4 𝟒 𝟒 𝑟 4 𝐑 = 𝑥 = 𝑟 𝑥 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝑟 4 𝟒 𝟒 00 𝐢 =𝟏 ,𝟖 ̅̅̅̅ 1.00 i=1,8 R 00 𝐑 𝐑 𝟓 𝟓 𝑟 4 1.00 𝟒 𝟒 𝐑 𝐑 𝟔 𝟔 1.00 𝑟 4 R 𝟒 𝟒 7 [ ] 𝐑 𝐑 1.00 𝟕 𝟕 𝑟 4 [ ] 𝟒 𝟒 𝐑 𝐑 𝟖 𝟖 where: [𝐑 ] = [𝐑 ] If he knows the hierarchical structure − direct bosses and the immediate bosses 𝟒 𝟒 [𝐑 ] = [𝐑 ] If he knows the significance of the existing signs and signals at the workplace [𝐑 ] = [𝐑 ] If he knows how to use,maintenance and replacement of PPE 𝟒 𝟒 𝐑 = 𝐑 [ ] [ ] If he knows how to remedy any non−conformities that may occur at work 𝟒 𝟒 [𝐑 ] = [𝐑 ] If there are working procedures available to the worker and if he knows them [𝐑 ] = = 𝐑 [ ] If the workers in the evaluated job have physical,mental,moral,intellectual,professional qualities corresponding to the evaluated job 𝐑 = [ ] = [𝐑 ] If the workers in the assessed job have had disciplinary offenses,occupational diseases,accidents at work or incidents 𝟒 𝟒 [𝐑 ] = [𝐑 ] Other risks generated by the executor in the work process Starting from the risks listed above, we define the domains of definition of the risk function R, as follows: 1 2 4 R = f(R , R , R , R ), (2) 00 00 00 00 ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ i=1,5 i=1,7 i=1,9 i=1,8 ̅̅̅̅̅̅̅ 𝑚 =I,VIII In the case of a normal 8-hour work schedule, the values of the risk factor correction coefficient (𝑘 ) ̅̅̅̅ 𝑖 =1,9 ̅̅̅̅̅̅̅ depending on the exposure for different scenarios (𝑚 = I, VIII) are shown in Table 1: Table 1 Time 1 2 3 4 5 6 7 8 (h) (h) (h) (h) (h) (h) (h) (h) (h) Scenario I II III IV V VI VII VIII Exposure -1 -1 -1 -1 -1 -1 -1 -1 1.3x10 2.5x10 3.8x10 5.0x10 6.3x10 7.5x10 8.8x10 10.0x10 (h) If we take into account the quantitative ratio that exists at group and subgroup level, transforming the weighting result into a scaled value that constitutes the momentary value of the range of values corresponding to the rank of the risk factor, results the following mathematical relation [4, 5]: - For risks generated by the work equipment available and the materials and substances used, according to the Table1 (𝑚 = I̅,̅̅ VIII ̅̅̅): 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 1 𝟏 𝟏 𝐑 𝐑 𝟏 𝟏 𝟏 𝟏 𝑟 1 R 𝐑 𝐑 2 𝟐 𝟐 𝑚 ̅̅̅̅̅̅̅ 𝟏 𝟏 𝑚 =I,VIII 𝟏 𝑟 1 𝑟 1 𝐑 = 𝑥 𝐑 = [𝑘 ] 𝑟 𝑥 𝐑 ̅̅̅̅ 00 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 𝐢 =𝟏 ,𝟓 3 𝟑 𝑖 =1,5 𝟑 i=1 ̅̅,̅5 ̅ 𝟏 𝟏 𝑟 1 𝐑 𝐑 𝟒 𝟒 𝑚 𝟏 𝟏 𝑟 1 𝐑 𝐑 [ ] [ ] [ 00 ] 𝟓 𝟓 ̅̅̅̅ 𝑖 =1,5 II −1 1.3x10 ̅̅̅̅ 𝑖 =1,5 −1 III 2.5x10 ̅̅̅̅ 𝑖 =1,5 −1 3.8x10 IV 𝑘 −1 ̅̅̅̅̅̅̅ ̅̅̅̅ 𝑖 =1,5 𝑚 =I,VIII 5.0x10 [𝑘 ] = = ̅̅̅̅ 𝑖 =1,5 V −1 6.3x10 ̅̅̅̅ 𝑖 =1,5 −1 7.5x10 VI ̅̅̅̅ 𝑖 =1,5 −1 8.8x10 VII −1 𝑘 [ ] ̅̅̅̅ 10.0x10 𝑖 =1,5 VIII ̅̅̅̅ [ ] 𝑖 =1,5 For risks generated by the work environment in which the worker is in the work process, according to ̅̅̅̅̅̅̅ the Table 1 (𝑚 = I, VIII): 𝟐 𝟐 𝐑 𝐑 𝟏 𝟏 𝟐 𝟐 𝑟 2 𝐑 𝐑 𝟐 𝟐 𝑚 𝟐 𝟐 𝑟 2 𝐑 𝐑 00 𝟑 𝟑 𝟐 𝟐 𝑟 2 𝐑 𝐑 𝟒 𝟒 ̅̅̅̅̅̅̅ 𝑚 =I,VIII 𝟐 𝟐 𝟐 𝑟 𝐑 = 𝑥 𝐑 = [𝑘 ] 𝑟 𝑥 𝐑 𝑟 2 ̅̅̅̅ ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 R 𝑖 =1,7 𝐢 =𝟏 ,𝟕 R 𝟓 𝟓 ̅̅̅̅ 00 i=1,7 𝟐 𝟐 𝐑 𝐑 𝑟 2 𝟔 𝟔 𝟐 𝟐 𝐑 𝐑 𝑟 2 R 𝟔 𝟔 𝟐 𝟐 𝑟 2 𝐑 𝐑 03 𝟔 𝟔 𝟐 𝟐 𝑟 2 𝐑 𝐑 [ 00 ] 𝟕 𝟕 ̅̅̅̅ 𝑖 =1,5,7 II −1 −2 ̅̅̅̅ 1.3x10 4.125x10 𝑖 =1,5,7 −1 −2 III 2.5x10 8.250x10 ̅̅̅̅ 𝑖 =1,5,7 −1 −2 3.8x10 12.375x10 IV 𝑘 −1 −2 ̅̅̅̅ ̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅ 𝑚 =I,VIII 𝑖 =1,5,7 𝑚 =I,VIII 5.0x10 16.500x10 [𝑘 ] = = , [𝑘 ] = ̅̅̅̅ ̅̅01 ̅̅̅̅̅̅ 03 ̅̅ 𝑖 =1,7 −1 −2 V 𝑖 =6 ,6 6.3x10 20.625x10 ̅̅̅̅ 𝑖 =1,5,7 −1 −2 7.5x10 24.750x10 VI ̅̅̅̅ −1 −2 𝑖 =1,5,7 8.8x10 28.875x10 VII −1 −2 [ ] [ ] ̅̅̅̅ 10.0x10 33.000x10 𝑖 =1,5,7 VIII [ ̅̅̅̅ ] 𝑖 =1,5,7 - For risks generated by the employer and other factors responsible internally and externally to the employer who according to the law have certain obligations and responsibilities in the field of OSH, ̅̅̅̅̅̅̅ according to the Table 1 (𝑚 = I, VIII): 𝟎𝟎 𝟎𝟎 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝑟𝑖𝑠𝑘 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝑟 3 𝟏 𝟏 𝟑 𝟑 𝐑 𝐑 𝟐 𝟐 𝑟 3 2 𝟑 𝟑 𝐑 𝐑 𝟐 𝟐 𝑟 3 R 𝟑 𝟑 𝐑 𝐑 𝟐 𝟐 𝑟 3 𝟑 𝟑 04 𝐑 𝐑 𝟐 𝟐 𝟑 𝟑 𝑟 3 𝐑 𝐑 𝟑 𝟑 𝑚 𝟑 𝟑 𝑟 3 𝐑 𝐑 01 𝟒 𝟒 𝟑 𝟑 𝑟 3 𝐑 𝐑 𝟒 𝟒 𝟑 𝟑 𝐑 𝐑 𝑟 3 R 𝟒 𝟒 ̅̅̅̅̅̅̅ 𝟑 𝟑 𝑚 =I,VIII 𝟑 𝑟 3 𝐑 = 𝑥 𝐑 = [𝑘 ] 𝑟 𝑥 𝐑 ̅̅̅̅ 𝑟 3 ̅̅̅̅ 𝑟𝑜𝑓𝑎𝑐𝑡 𝐢 =𝟏 ,𝟗 𝟒 𝑖 =1,9 𝟒 00 R i=1 ̅̅,̅9 ̅ 04 𝟑 𝟑 𝑚 𝐑 𝐑 𝑟 3 𝟒 𝟒 𝟑 𝟑 𝑚 𝐑 𝐑 𝑟 3 𝟓 𝟓 𝟑 𝟑 𝐑 𝐑 𝟔 𝟔 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝟕 𝟕 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝑚 𝟖 𝟖 𝑟 3 00 𝟑 𝟑 𝐑 𝐑 𝟗 𝟗 𝑟 3 𝟑 𝟑 𝐑 𝐑 𝟗 𝟗 𝑟 3 R 𝟑 𝟑 𝐑 𝐑 𝟗 𝟗 𝑟 3 𝟑 𝟑 9 𝐑 𝐑 𝟗 𝟗 𝑟 3 [ 04 ] ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ 𝑘 𝑖 =2 ,2 ,9 ,9 ̅̅̅̅ 𝑖 =1,3,5,8 II −1 −2 II ̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅ 1.3x10 01 04 01 04 3.125x10 𝑖 =2 ,2 ,9 ,9 ̅̅̅̅ 𝑖 =1,3,5,8 −1 −2 III III 2.5x10 6.250x10 𝑘 ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅̅̅ 𝑖 =2 ,2 ,9 ,9 𝑖 =1,3,5,8 −1 −2 3.8x10 9.375x10 IV IV −1 𝑘 −2 𝑘 ̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅ 01 04 01 04 ̅̅̅̅ ̅̅̅̅̅ 𝑖 =1,3,5,8 ̅̅̅̅̅ 𝑖 =2 ,2 ,9 ,9 𝑚 =I,VIII 5.0x10 𝑚 =I,VIII 12.500x10 [𝑘 ] = = ,[𝑘 ] = = , ̅̅̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ V −1 V −2 𝑖 =1,3,5,8 𝑖 =2 ,2 ,9 ,9 𝑘 6.3x10 𝑘 15.625x10 ̅̅̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ 𝑖 =1,3,5,8 𝑖 =2 ,2 ,9 ,9 −1 −2 VI 7.5x10 VI 18.750x10 ̅̅̅̅ 𝑖 =1,3,5,8 ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ −1 𝑖 =2 ,2 ,9 ,9 −2 8.8x10 21.875x10 VII VII −1 −2 ̅̅̅̅ 𝑘 𝑖 =1,3,5,8 [ ] [ ] ̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅ 10.0x10 01 04 01 04 25.000x10 𝑖 =2 ,2 ,9 ,9 VIII VIII [ ̅̅̅̅] 𝑖 =1,3,5,8 𝑘 ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ ̅̅01 ̅̅̅̅̅̅ 04 ̅̅ [ ] 𝑖 =2 ,2 ,9 ,9 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 𝑖 =4 ,4 II −2 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 2.500x10 𝑖 =4 ,4 −2 III 5.000x10 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 𝑖 =4 ,4 −2 7.500x10 IV −2 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ ̅̅̅̅̅ 𝑖 =4 ,4 𝑚 =I,VIII 10.000x10 [𝑘 ] = = ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ V −2 𝑖 =4 ,4 𝑘 12.500x10 ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 𝑖 =4 ,4 −2 15.000x10 VI ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ −2 𝑖 =4 ,4 17.500x10 VII −2 𝑘 [ ] ̅̅01 ̅̅̅̅̅̅̅ 05 ̅̅ 20.000x10 𝑖 =4 ,4 VIII ̅̅̅̅̅̅̅̅̅̅̅ 01 05 [ ] 𝑖 =4 ,4 𝟎𝟒 𝟎𝟒 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟎 𝟎𝟓 𝟎𝟓 𝑟𝑖𝑠𝑘 𝟎𝟒 𝟎𝟒 𝟎𝟎 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 𝟎𝟒 𝟎𝟒 𝟎𝟑 𝟎𝟑 𝟎𝟐 𝟎𝟐 𝟎𝟏 𝟎𝟏 𝟎𝟎 𝟎𝟎 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 - For risks generated by the employee: 𝑟 4 𝟒 𝟒 𝐑 𝐑 1 𝟎𝟎 𝟎𝟎 𝟏 𝟏 𝑟 4 𝟒 𝟒 𝐑 𝐑 𝟎𝟎 𝟎𝟎 𝟐 𝟐 𝑟 4 𝟒 𝟒 𝐑 𝐑 00 𝟎𝟎 𝟎𝟎 𝟑 𝟑 𝟒 𝟒 R 𝐑 𝐑 𝟎𝟎 𝟎𝟎 ̅̅̅̅̅ 4 𝟒 𝑚 =I,VIII 𝟒 𝑚 𝟒 𝑟 4 𝐑 = 𝑥 = [𝑘 ]𝑟 𝑥 𝟎𝟎 ̅̅̅̅ 𝑚 ̅̅̅̅ 𝑟𝑘𝑖𝑠 𝑓𝑐𝑡𝑜𝑟𝑎 𝐢 =𝟏 ,𝟖 𝟒 𝑖 =1,8 𝟒 ̅̅̅̅ 𝑟 4 i=1,8 𝐑 𝐑 R 𝟎𝟎 𝟎𝟎 𝟓 𝟓 𝑚 𝟒 𝟒 𝑟 4 𝐑 𝐑 𝟎𝟎 𝟎𝟎 𝟔 𝟔 𝟒 𝟒 𝑟 4 𝐑 𝐑 𝟎𝟎 𝟎𝟎 𝟕 𝟕 𝟒 𝟒 4 𝐑 𝐑 𝑟 𝟎𝟎 𝟎𝟎 R 𝟖 𝟖 [ 00 ] ̅̅̅̅ 𝑖 =1,8 −1 II 1.3x10 ̅̅̅̅ 𝑖 =1,8 −1 2.5x10 III ̅̅̅̅ 𝑖 =1,8 −1 3.8x10 IV 𝑘 −1 ̅̅̅̅ 𝑚 =I̅,̅ VI ̅̅I̅I 𝑖 =1,8 5.0x10 [𝑘 ] = = ̅̅̅̅ V 𝑖 =1,8 −1 6.3x10 ̅̅̅̅ 𝑖 =1,8 −1 VI 7.5x10 ̅̅̅̅ 𝑖 =1,8 −1 8.8x10 VII −1 ̅̅̅̅ 𝑖 =1,8 [ ] 10.0x10 VIII [ ̅̅̅̅] 𝑖 =1,8 In the case of a total or partial exposure, we obtain the results that obtained by used the above mathematical relations and Table 2. Table 2 The fact of multiplying the rank of the risk factor, The fact of multiplying the associated with the risk rank of the risk factor, Rank value group according to the associated with the risk based on hourly exposure Group of Risk subgroup exposure risks subgroup The value ̅̅̅̅̅ 𝑚 =I,VIII The value ̅̅̅̅ 𝑖 =1,9 of the Exposure time Exposure of the multiplication m=I÷VIII time multiplication fact m=I÷VIII fact −1 −1 R 1.00 1.3x10 1.3x10 i=1 −1 −1 1.00 2.5x10 2.5x10 R 00 −1 −1 i=2 1.00 3.8x10 3.8x10 𝟏 −1 −1 1.00 5.0x10 5.0x10 𝟎𝟎 ̅̅̅̅ 1 𝐢 =𝟏 ,𝟓 i=3 −1 −1 1.00 6.3x10 6.3x10 −1 −1 1 1.00 7.5x10 7.5x10 i=4 −1 −1 1.00 8.8x10 8.8x10 1 −1 −1 R 1.00 10.0x10 10.0x10 i=5 2 −1 −1 1.00 R 1.3x10 1.3x10 i=1 𝟎𝟎 ̅̅̅̅ −1 −1 𝐢 =𝟏 ,𝟔 1.00 2.5x10 2.5x10 i=2 −1 −1 1.00 3.8x10 3.8x10 60 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 −1 −1 R 00 1.00 5.0x10 5.0x10 i=3 −1 −1 1.00 6.3x10 6.3x10 R 00 i=4 −1 −1 1.00 7.5x10 7.5x10 R 00 i=5 −1 −1 1.00 8.8x10 8.8x10 −1 −1 1.00 10.0x10 10.0x10 i=7 −1 −2 1.3x10 4.125x10 −1 −2 2.5x10 8.250x10 −1 −2 01 3.8x10 12.375x10 i=6 2 2 −1 −2 5.0x10 R 00 R 02 16.500x10 i=6 i=6 0.33 −1 −2 6.3x10 20.625x10 i=6 −1 −2 7.5x10 24.750x10 −1 −2 8.8x10 28.875x10 −1 −2 10.0x10 33.000x10 −1 −1 1.00 1.3x10 1.3x10 𝟎𝟎 ̅̅̅̅ R 00 𝐢 =𝟏 ,𝟗 i=1 −1 −1 3 1.00 2.5x10 2.5x10 i=3 −1 −1 1.00 3.8x10 3.8x10 i=5 −1 −1 1.00 5.0x10 5.0x10 R 00 −1 −1 i=6 1.00 6.3x10 6.3x10 R −1 −1 i=7 1.00 7.5x10 7.5x10 −1 −1 1.00 8.8x10 8.8x10 i=8 −1 −1 1.00 10.0x10 10.0x10 −1 −2 1.3x10 3.125x10 −1 −2 3 2.5x10 6.250x10 R 01 i=2 −1 −2 3 3.8x10 9.375x10 R 02 i=2 −1 −2 i=2 5.0x10 12.500x10 0.25 i=2 −1 −2 6.3x10 15.625x10 R 04 −1 −2 i=2 7.5x10 18.750x10 −1 −2 8.8x10 21.875x10 −1 −2 10.0x10 25.000x10 −1 −2 1.3x10 2.500x10 −1 −2 2.5x10 5.000x10 i=4 −1 −2 R 02 3.8x10 7.500x10 3 i=4 R 00 −1 −2 i=4 5.0x10 10.000x10 R 03 i=4 0,20 −1 −2 6.3x10 12.500x10 i=4 −1 −2 7.5x10 15.000x10 R 05 i=4 −1 −2 8.8x10 17.500x10 −1 −2 10.0x10 20.000x10 3 −1 −2 R 1.3x10 3.125x10 i=9 −1 −2 2.5x10 6.250x10 −1 −2 R 02 3.8x10 9.375x10 i=9 −1 −2 00 5.0x10 12.500x10 i=9 −1 −2 0.25 R 03 6.3x10 15.625x10 i=9 −1 −2 7.5x10 18.750x10 −1 −2 8.8x10 21.875x10 −1 −2 i=9 10.0x10 25.000x10 𝟒 −1 −1 1.00 1.3x10 1.3x10 𝟎𝟎 ̅̅̅̅ R 00 𝐢 =𝟏 ,𝟖 i=1 −1 −1 4 1.00 2.5x10 2.5x10 R 00 i=3 −1 −1 1.00 3.8x10 3.8x10 R 00 −1 −1 i=5 1.00 5.0x10 5.0x10 −1 −1 i=6 1.00 6.3x10 6.3x10 R 00 −1 −1 i=7 1.00 7.5x10 7.5x10 −1 −1 i=8 1.00 8.8x10 8.8x10 −1 −1 1.00 10.0x10 10.0x10 61 Revista Minelor – Mining Revue vol. 28, issue 2 / 2022 ISSN-L 1220-2053 / ISSN 2247-8590 pp. 54-62 3. Interpretation of the results obtained This methodological tool for quantifying risk parameters has been developed for risk estimation and assessment, in order to diagnose and predict the probabilities of the injurie phenomenon that can manifest itself at the level of a complex work system. For the purpose of this paper, risk is defined as a measure of the probability and severity of harm (adverse effects) because measuring risk is an empirical, quantitative, scientific activity. The premise that risk assessment must be an integral part of the overall decision-making process necessitates following a systemic, holistic approach to dealing with risk. Such a holistic approach builds on the principals and philosophy upon which system analysis and safety system engineering are grounded. Applying this method, for the same type of different activity evaluated, at the same time, for the same work point, many evaluators, independent of each other, finally obtain approximate equal results. At the same time, the method is flexible, allowing its adaptation to any work system with activity in the normal or potential explosive environment and to any organizational structure where the human component is analysed in the work process. 4. Conclusions For determining the risk, this methodical tool is a modern technique used to identify and assess occupational risk factors for quantifying the risk indicators was developed, in order to make the diagnosis and the plausible forecast of the mechanism of occurrence of an undesirable event. This method is flexible allowing its adaptation to any work system for different types of activities for which specific risk categories and subcategories and to any organizational structure where the human component is analysed in the work process. References [1] Gabor D.S., Radu S.M., 2021 An innovative method for testing electronic detonating caps regarding sensitivity to electrostatic discharges, Mining Revue, Vol. 27, Nr. 1/2021, pp. 61-65, ISSN-L 1220-2053 / ISSN 2247-8590 [2] Marhavilas K., 2008 A risk-estimation methodological framework using quantitative assessment techniques and real accidents' data: Application in an aluminum extrusion industry, Journal of loss prevention in the process industries, 21, 596 – 603, 2008. [3] Pece, Şt., 2010 Risk assessment in the workplace, Rubin Publishing House, Galaţi, Romania [4] Vasilescu G.D., 2008 Probability calculation methods used for industrial risk diagnose and prediction (in Romanian), INSEMEX Publishing, Petrosani, Romania, ISBN 978-973-88753-2-6. [5] Vasilescu G.D., 2008 Unconventional methods for the professional risk analysis and evaluation (in Romanian), INSEMEX Publishing, Petrosani, Romania, ISBN 978-973-88590-0-5. 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Journal

Mining Revue – de Gruyter

Published: Jun 1, 2022

Keywords: accidents; industrial work systems; hazard; risk

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