## 5 Experimental Results
### Example Analysis
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Handling Times** & **Work Center 1** & **Work Center 2** & **Work Center 3** & **Work Center 4** \\ \hline Work center 1 & - 3 & 1 & 1 & 2 \\ Work center 2 & 1 & - & 1 & 1 \\ Work center 3 & 1 & 1 & - & 1 \\ Work center 4 & 2 & 1 & 1 & - \\ \hline \hline \end{tabular} \({}^{\ddagger}\) There is no handling in the same work center.  
\end{table} 
Table 9: Schedule of handling times. indicates that the processing time of the operation 1 of job 8 is 4, and the white rectangle in front of the orange rectangle indicates the setup time of the machine 3. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Job(i)** & **Operation(\(i\))** & **Machine(\(k\))** & **Work Center** & \(\mathbf{TS_{ijk}^{B}}\) & \(\mathbf{TS_{ijk}}\) & \(\mathbf{TS_{ijk}^{\text{E}}/\mathbf{TP_{ijk}^{B}}}\) & \(\mathbf{TP_{ijk}}\) & \(\mathbf{TP_{ijk}^{\text{E}}}\) \\ \hline \multirow{6}{*}{\(J_{1}\)} & \(O_{11}\) & \(M_{5}\) & \(WC_{4}\) & 0 & 1 & 1 & 6 & 7 \\  & \(O_{12}\) & \(M_{3}\) & \(WC_{2}\) & 10 & 1 & 11 & 1 & 12 \\  & \(O_{13}\) & \(M_{1}\) & \(WC_{1}\) & 18 & 0 & 18 & 2 & 20 \\  & \(O_{14}\) & \(M_{4}\) & \(WC_{3}\) & 21 & 1 & 22 & 6 & 28 \\  & \(O_{15}\) & \(M_{1}\) & \(WC_{1}\) & 28 & 1 & 29 & 1 & 30 \\ \hline \multirow{6}{*}{\(J_{2}\)} & \(O_{21}\) & \(M_{1}\) & \(WC_{1}\) & 7 & 1 & 8 & 3 & 11 \\  & \(O_{22}\) & \(M_{3}\) & \(WC_{2}\) & 12 & 0 & 12 & 1 & 13 \\  & \(O_{23}\) & \(M_{1}\) & \(WC_{1}\) & 14 & 2 & 16 & 2 & 18 \\  & \(O_{24}\) & \(M_{5}\) & \(WC_{4}\) & 23 & 1 & 24 & 6 & 30 \\  & \(O_{25}\) & \(M_{5}\) & \(WC_{4}\) & 30 & 0 & 30 & 6 & 36 \\ \hline \multirow{6}{*}{\(J_{3}\)} & \(O_{31}\) & \(M_{2}\) & \(WC_{2}\) & 0 & 1 & 1 & 4 & 5 \\  & \(O_{32}\) & \(M_{6}\) & \(WC_{4}\) & 11 & 1 & 12 & 2 & 14 \\  & \(O_{33}\) & \(M_{6}\) & \(WC_{4}\) & 14 & 0 & 14 & 5 & 19 \\  & \(O_{34}\) & \(M_{6}\) & \(WC_{4}\) & 19 & 0 & 19 & 6 & 25 \\  & \(O_{35}\) & \(M_{1}\) & \(WC_{1}\) & 30 & 2 & 32 & 1 & 33 \\ \hline \multirow{6}{*}{\(J_{4}\)} & \(O_{41}\) & \(M_{5}\) & \(WC_{4}\) & 7 & 1 & 8 & 6 & 14 \\  & \(O_{42}\) & \(M_{4}\) & \(WC_{3}\) & 15 & 0 & 15 & 2 & 17 \\  & \(O_{43}\) & \(M_{4}\) & \(WC_{3}\) & 17 & 0 & 17 & 2 & 19 \\  & \(O_{44}\) & \(M_{5}\) & \(WC_{4}\) & 21 & 0 & 21 & 1 & 22 \\  & \(O_{45}\) & \(M_{6}\) & \(WC_{4}\) & 28 & 0 & 28 & 2 & 30 \\ \hline \multirow{6}{*}{\(J_{5}\)} & \(O_{51}\) & \(M_{1}\) & \(WC_{1}\) & 5 & 0 & 5 & 2 & 7 \\  & \(O_{52}\) & \(M_{4}\) & \(WC_{3}\) & 13 & 0 & 13 & 2 & 15 \\  & \(O_{53}\) & \(M_{4}\) & \(WC_{3}\) & 19 & 0 & 19 & 2 & 21 \\  & \(O_{54}\) & \(M_{5}\) & \(WC_{4}\) & 22 & 0 & 22 & 1 & 23 \\  & \(O_{55}\) & \(M_{6}\) & \(WC_{4}\) & 25 & 1 & 26 & 2 & 28 \\ \hline \multirow{6}{*}{\(J_{6}\)} & \(O_{61}\) & \(M_{1}\) & \(WC_{1}\) & 3 & 0 & 3 & 2 & 5 \\  & \(O_{62}\) & \(M_{4}\) & \(WC_{3}\) & 8 & 1 & 9 & 2 & 11 \\  & \(O_{63}\) & \(M_{3}\) & \(WC_{2}\) & 13 & 2 & 15 & 1 & 16 \\  & \(O_{64}\) & \(M_{3}\) & \(WC_{2}\) & 22 & 0 & 22 & 5 & 27 \\  & \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \begin{tabular}{c} **Serial** \\ **Number** \\ \end{tabular} & \begin{tabular}{c} **From Work** \\ **Center** \\ \end{tabular} & \begin{tabular}{c} **To Work** \\ **Center** \\ \end{tabular} & \begin{tabular}{c} **Jobs** \\ **Handling** \\ \end{tabular} & \begin{tabular}{c} **Time of** \\ **Handling** \\ \end{tabular} & \begin{tabular}{c} **Earliest** \\ **Start Time** \\ \end{tabular} & \
\begin{tabular}{c} **Earliest** \\ **Completion** \\ **Time** \\ \end{tabular} &
\begin{tabular}{c} **Latest** \\ **Completion** \\ **Time** \\ \end{tabular} \\ \hline  
\hline \hline \end{tabular}
\end{table} 
Table 12: Solution of handling scheduling. Figure 9: Gantt chart of optimal scheduling solution for the small practical example. Figures 10-12 are, respectively, the iterative results of the makespan, the number of machine shutdowns, and the number of handling batches of the optimal solution after ranking the multi-objectives.