# Analysis of Production Process Parameters Using Computer Simulation at the Planning Stage
## 4 Results  
In accordance with the adopted methodology (Section 3.2), first of all, the number of production resources necessary to execute the assumed production plan was determined using analytical methods. Calculations related to determining \(\mathrm{O_{p}}\) and \(\mathrm{P_{s}}\) were determined based on Equations (1) and (2), while \(\mathrm{P_{s\_cal}}\) is a rounding to an integer referring to the number of positions required to realize the selected production positions (Table 3). To perform the calculations, the data presented in Table 2 were used. Based on the results presented in Table 3, it was found that the largest number of stations necessary to engaged in order to implement the assumed production plan concerned operation number 20 (turning process) and was equal to five (\(\mathrm{P_{s\_cal}}\), Table 3). The production operations which required only one station each were operations number 10 (material cutting), 40 (polishing), 50 (removing sharp edges) and 60 (quality control). The total number of production stations needed to complete the assumed plan was 12. It was also found that the occurrence of potential delays at the level of 5% of the operation duration does not affect the change in the number of production stations. Then, a simulation model was built in the FlexSim software consisting of the production stations, operators, inter-operational warehouse (queue), sources, warehouse of output and input materials, and infrastructure objects. Objects participating in the production process were arranged on the work board of the FlexSim simulation software in accordance with the actual state (Figure 4). \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Operation Number** & **10** & **20** & **30** & **40** & **50** & **60** \\ \hline \(\mathrm{O_{p}}\) & 350.10 & 2742.00 & 1172.65 & 519.25 & 186.70 & 184.36 \\ \hline \(\mathrm{P_{s}}\) & 0.62 & 4.87 & 2.08 & 0.92 & 0.33 & 0.33 \\ \hline \(\mathrm{P_{s\_cal}}\) & 1 & 5 & 3 & 1 & 1 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Estimated number of production resources. The parameters regarding the duration of the production operation from Table 2 were implemented for each object, taking into account the potential level of underestimation, i.e., up to 5% of the operation duration (Figure 5). The last stage of creating the simulation model was the selection of statistics in the FlexSim software, allowing for the analysis of selected parameters generated by the manufacturing process (Table 4). As part of the third stage of the research methodology, a computer simulation was carried out. For the purposes of the study, 20 replications (repetitions) of the production process simulation were assumed (Figure 6). \begin{table}
\begin{tabular}{c c} \hline \hline
**Indicator** & **Characteristics** \\ \hline \multirow{3}{*}{Duration of the process} & The duration of the production process from its initiation to its completion, taking into account unit time, preparatory and completion time, inter-operational transport time, and breaks. \\ \hline \multirow{3}{*}{Level of utilization of inter-operational warehouses} & Information about a high level of inter-process inventory in the warehouse in the case of parallel flow may indicate a bottleneck in the process. \\ \hline \multirow{3}{*}{Level of utilization of production stations} & It shows the level of utilization of production stations during the production process. A high result may indicate that the station is overloaded. \\ \hline \multirow{3}{*}{Financial analysis of the process} & Financial analysis indicates the costs related to the production resources used during the production process. \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Indicators used in the analysis of parameters in the FlexSim simulation software. Figure 4: Model of the production process in the FlexSim simulation software. Figure 5: Implementation of data regarding the duration of selected production operations.