## 5 Simulation Experiment
### Example Application
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Job Type**} & \multirow{2}{*}{**Job**} & \multirow{2}{*}{**Operation Number**} & \multirow{2}{*}{**OS**} & \multicolumn{6}{c}{**Machine and Processing Time/min**} \\ \cline{5-10}  & & & & **Work Center 1** & **Work Center 2** & **Work Center 3** & **Work Center 4** \\ \cline{5-10}  & & & & **\(W\mathbf{C_{11}}\)** & \(W\mathbf{C_{21}}\) & \(W\mathbf{C_{22}}\) & \(W\mathbf{C_{31}}\) & \(W\mathbf{C_{32}}\) & \(W\mathbf{C_{41}}\) \\ \hline \multirow{4}{*}{Type 4} & 1 & 411 & 8 & 5 & 8 & - & - & 3 \\  & 2 & 412 & 9 & 3 & 6 & 1 & 2 & 6 \\  & 3 & 413 & 7 & - & - & 5 & 4 & 9 \\ \cline{2-10}  & 1 & 421 & 8 & 5 & 8 & - & - & 3 \\  & 2 & 422 & 9 & 3 & 6 & 1 & 2 & 6 \\  & 3 & 423 & 7 & - & - & 5 & 4 & 9 \\ \cline{2-10}  & 1 & 431 & 8 & 5 & 8 & - & - & 3 \\  & 2 & 432 & 9 & 3 & 6 & 1 & 2 & 6 \\  & 3 & 433 & 7 & - & - & 5 & 4 & 9 \\ \hline \multirow{4}{*}{Type 5} & 1 & 511 & 6 & 2 & 5 & 4 & 1 & 2 \\  & 2 & 512 & 8 & 5 & 7 & 4 & 1 & 2 \\  & 3 & 513 & 9 & 6 & 2 & 4 & 5 & - \\ \cline{2-10}  & 1 & 521 & 6 & 2 & 5 & 4 & 1 & 2 \\  & 2 & 522 & 8 & 5 & 7 & 4 & 1 & 2 \\  & 3 & 523 & 9 & 6 & 2 & 4 & 5 & - \\ \cline{2-10}  & 1 & 531 & 6 & 2 & 5 & 4 & 1 & 2 \\  & 2 & 532 & 8 & 5 & 7 & 4 & 1 & 2 \\  & 3 & 533 & 9 & 6 & 2 & 4 & 5 & - \\ \hline \multirow{4}{*}{Type 5} & 1 & 531 & 6 & 2 & 5 & 4 & 1 & 2 \\  & 2 & 532 & 8 & 5 & 7 & 4 & 1 & 2 \\  & 3 & 533 & 9 & 6 & 2 & 4 & 5 & - \\ \hline \hline \end{tabular} Note: “\(\cdot\)” indicates that the operation cannot be processed on the machine of the work center.  
\end{table} 
Table 7: _Cont._ \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Job Type**} & \multirow{2}{*}{**Job**} & \multirow{2}{*}{**Operation Number**} & \multirow{2}{*}{**OS**} & \multicolumn{6}{c}{**Machine and Processing Time/min**} \\ \cline{5-10}  & & & & **Work Center 1** & **Work Center 2** & **Work Center 3** & **Work Center 4** \\ \cline{5-10}  & & & & \(W\mathbf{C_{11}}\) & \(W\mathbf{C_{21}}\) & \(W\mathbf{C_{22}}\) & \(W\mathbf{C_{31}}\) & \(W\mathbf{C_{32}}\) & \(W\mathbf{C_{41}}\) \\ \hline Type 1 & Job 1 & 1 & 111 & 0.5 & 2 & 2 & 1 & 2 & 1 \\  & 2 & 112 & 112 & 1 & 3 & 3 & 2 & 1 & 1 \\ \hline \multirow{4}{*}{Type 2} & Job 1 & 1 & 211 & 3 & 2 & 1 & 2 & 1 & 1.5 \\  & 2 & 2 & 212 & 0.5 & 1 & 3 & 1 & 2 & 2 \\  & 3 & 213 & 1 & 1 & 3 & 1.5 & 2 & 2 \\ \cline{2-10}  & 1 & 221 & 3 & 2 & 1 & 2 & 1 & 1.5 \\  & Job 2 & 2 & 222 & 0.5 & 1 & 3 & 1 & 2 & 2 \\  & 3 & 223 & 1 & 1 & 3 & 1.5 & 2 & 2 \\ \hline \multirow{4}{*}{Type 3} & Job 1 & 1 & 311 & 1 & 2 & 1.5 & 3 & 2 & 3 \\  & 2 & 312 & 3 & 1 & 2 & 2 & 1 & 1 \\ \cline{1-1} \cline{2-10}  & Job 2 & 1 & 321 & 1 & 2 & 1.5 & 3 & 2 & 3 \\ \cline{1-1} \cline{2-10}  & Job 3 & 1 & 331 & 1 & 2 & 1.5 & 3 & 2 & 3 \\ \cline{1-1}  & 2 & 332 & 3 & 1 & 2 & 2 & 1 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: The machine adjustment schedule of multi-equipment work centers. As shown in Table 7, the designed calculation example includes 6 jobs of 3 types, which are processed on 6 equipment at 4 work centers. It is specified that different processes have different setup times on equipment at different work centers, as shown in Table 8. The handling time required for job processing at different work centers is different, as shown in Table 9.  
For the calculation example designed in this paper, the scheduling and optimization model of processing and manufacturing equipment, handling equipment and other resources is studied and designed. The simulation analysis of the calculation example is carried out through MATLAB software, and the evolution process curve under each scheduling goal is obtained. The population evolution diagram of the AT01 calculation example is shown in Figure 12.