## 3 Material and Methods
### Preparation of the Simulation Model for Research
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Position** & **Operation Name** & **Operating Time [s]** \\ \hline \multirow{3}{*}{Laser} & Table exchange & 30 \\  & Sheet metal search & 60 \\  & Sheet metal cutting & 480 \\ \hline \multirow{3}{*}{Transfer} & Waste collection & 130 \\  & Loading + unloading & 660 \\ \hline \multirow{3}{*}{Press brake} & Configure & 30 \\  & Sheet metal bending & 90 \\  & Unlock & 30 \\ \hline \multirow{3}{*}{Welding cell} & Snorting & 130 \\  & Positioning, fixing & 100 \\  & Welding & 81.4 \\  & Unlock & 30 \\ \hline \multirow{2}{*}{Transfer} & Transport to the next station & 55 \\ \hline \multirow{3}{*}{Cutting station exit from the alcove} & Preparation for cutting & 90 \\  & Cutting a cavity & 230 \\ \cline{1-1}  & Lowering after cutting & 120 \\ \hline \multirow{3}{*}{Pole foot welding station} & Preparation for welding & 30 \\ \cline{1-1}  & Welding of the column foot & 60 \\ \cline{1-1}  & Pulling the bar down & 30 \\ \hline \end{tabular} Source: own study.  
\end{table} 
Table 2: Average processing time at each stage of the process. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline
**1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** & **9** & **10** & **11** \\ \hline
**Machine** & **Failure\_1** & **Time\_1** & **Failure\_2** & **Time\_2** & **Time\_12** & **Complete\_1** & **Complete\_2** & **Previous** & **Time\_Review** & **Next** \\ \hline Machine 1 & 0 & 365 & 0 & 365 & 0 & 0 & 0 & 0 & 0 & 0 \\ Machine 2 & 1 & 10 & 1 & 74 & 64 & 1 & 1 & 0 & 0 & 0 \\ Machine 3 & 1 & 199 & 0 & 365 & 166 & 1 & 0 & 0 & 1 & 1 \\ Machine 4 & 0 & 365 & 0 & 365 & 0 & 0 & 0 & 0 & 0 & 0 \\ Machine 5 & 1 & 77 & 1 & 246 & 169 & 1 & 1 & 0 & 0 & 0 \\ Machine 6 & 1 & 170 & 1 & 213 & 42 & 1 & 1 & 0 & 0 & 0 \\ Machine 7 & 1 & 247 & 1 & 266 & 19 & 1 & 1 & 0 & 1 & 1 \\ Machine 8 & 1 & 73 & 1 & 231 & 158 & 1 & 1 & 0 & 0 & 0 \\ Machine 9 & 0 & 365 & 0 & 365 & 0 & 0 & 0 & 0 & 0 & 0 \\ Machine 10 & 1 & 220 & 0 & 365 & 145 & 1 & 0 & 0 & 0 & 0 \\ Machine 11 & 1 & 67 & 1 & 260 & 193 & 1 & 1 & 0 & 0 & 0 \\ Machine 12 & 1 & 3 & 1 & 45 & 42 & 1 & 1 & 0 & 0 & 0 \\ \hline \hline \end{tabular} Source: own study.  
\end{table} 
Table 3: Summary of data on the failure rate of technological machines in 2017. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** & **9** & **10** & **11** \\ \hline
**Machine** & **Failure\_1** & **Time\_1** & **Failure\_2** & **Time\_2** & **Time\_12** & **Complete\_1** & **Complete\_2** & **Previous** & **Time\_Review** & **Next** \\ \hline Machine 1 & 0 & 365 & 0 & 365 & 0 & 0 & 0 & 0 & 0 & 0 \\ Machine 2 & 1 & 10 & 1 & 74 & 64 & 1 & 1 & 0 & 0 & 0 \\ Machine 3 & 1 & 199 & 0 & 365 & 166 & 1 & 0 & 0 & 1 & 1 \\ Machine 4 & 0 & 365 & 0 & 365 & 0 & 0 & 0 & 0 & 0 & 0 \\ Machine 5 of creating probability charts. This process involves fitting the theoretical distribution of failures over time to empirical data. In this way, life expectancy function graphs (Figure 2) and probability density distributions (Figure 3) can be obtained. Because the Weibull distribution is a distribution quite often used in analyses related to failure rates, such a distribution was chosen when generating the charts. The estimation is based on three different estimation procedures--least squares and two weighted least squares methods. Analyzing the obtained estimation results, it should be stated that in the case of the observations from 2017, the approximate distribution charts overlapped to a significant extent with the empirical distributions. In the case of the estimated distributions for the observations from 2017, it should be stated that the procedures used gave very similar  
Figure 3: Probability density charts for 2017. Source: own study. Figure 2: Matching the distribution of failures over time to the empirical distribution for 2017. Source: own study. results. Nevertheless, the distribution matching tool allows us to illustrate, to some extent, the nature of the analyzed failures.