# A Study on Operator Allocation in Consideration of Fatigue in Cell Manufacturing System +
## 4 Computational Experiments
### Results  
Figure 4 shows the progression of the best values in T1 of the first experiment for Patterns I to V of the proposed and conventional methods. In the initial phase of the number of steps, the proposed method has a smaller best value than the conventional  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Operator**} & \multirow{2}{*}{**Skill Level**} & \multicolumn{4}{c}{**G1**} & \multicolumn{4}{c}{**G2**} & \multicolumn{4}{c}{**G3**} \\ \cline{3-14}  & & **K1** & **K2** & **K3** & **K4** & **K1** & **K2** & **K3** & **K4** & **K1** & **K2** & **K3** & **K4** \\ \hline O1 & Expert & 0.92 & 0.90 & 0.92 & 0.94 & 0.93 & 0.95 & 0.90 & 0.90 & 0.91 & 0.91 & 0.94 & 0.94 \\ O2 & Expert & 0.93 & 0.90 & 0.90 & 0.90 & 0.94 & 0.92 & 0.91 & 0.91 & 0.90 & 0.91 & 0.95 & 0.95 \\ O3 & Standard & 0.95 & 0.92 & 0.95 & 0.95 & 0.92 & 0.94 & 0.92 & 0.90 & 0.91 & 0.95 & 0.94 & 0.94 \\ O4 & Standard & 0.94 & 0.94 & 0.95 & 0.90 & 0.94 & 0.90 & 0.91 & 0.95 & 0.91 & 0.94 & 0.91 & 0.92 \\ O5 & Standard & 0.93 & 0.93 & 0.95 & 0.95 & 0.95 & 0.91 & 0.90 & 0.90 & 0.94 & 0.95 & 0.95 & 0.91 \\ O6 & Standard & 0.90 & 0.91 & 0.94 & 0.91 & 0.90 & 0.92 & 0.95 & 0.91 & 0.91 & 0.94 & 0.91 & 0.95 \\ O7 & Newcomer & 0.91 & 0.93 & 0.90 & 0.90 & 0.90 & 0.91 & 0.92 & 0.92 & 0.92 & 0.94 & 0.91 \\ O8 & Newcomer & 0.93 & 0.91 & 0.90 & 0.93 & 0.93 & 0.91 & 0.90 & 0.92 & 0.93 & 0.94 & 0.91 & 0.91 \\ \hline \hline \end{tabular}
\end{table}
Table 4: Operator’s learning rate.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline  & & \multicolumn{4}{c}{**G1**} & \multicolumn{4}{c}{**G2**} & \multicolumn{4}{c}{**G3**} \\ \cline{3-14}  & & **K1** & **K2** & **K3** & **K4** & **K1** & **K2** & **K3** & **K4** & **K1** & **K2** & **K3** & **K4** \\ \hline O1 & Expert & 1.4 & 1.5 & 1.4 & 1.5 & 1.4 & 1.5 & 1.5 & 1.3 & 1.4 & 1.5 & 1.3 & 1.3 \\ O2 & Expert & 1.3 & 1.5 & 1.4 & 1.5 & 1.5 & 1.3 & 1.5 & 1.5 & 1.5 & 1.3 & 1.3 & 1.3 \\ O3 & Standard & 0.9 & 1.2 & 1.0 & 1.2 & 1.1 & 1.1 & 1.0 & 0.9 & 0.9 & 1.1 & 1.2 & 1.0 \\ O4 & Standard & 1.2 & 0.9 & 1.2 & 1.1 & 1.0 & 1.2 & 0.9 & 1.1 & 1.2 & 1.2 & 1.1 & 1.1 \\ O5 & Standard & 1.1 & 1.0 & 1.2 & 0.9 & 1.1 & 1.2 & 1.1 & 1.0 & 1.2 & 1.1 & 1.1 & 1.1 \\ O6 & Standard & 1.1 & 1.2 & 0.9 & 1.1 & 1.1 & 0.9 & 1.2 & 0.9 &method. However, after 1000 steps, the conventional method has a lower best value than the proposed method. The fastest to obtain the best solution was in Pattern III, with no variation from the 124 th step onward. Subsequently, the best solutions were obtained in the order of the conventional method: Pattern II, Pattern I, Pattern V, and Pattern IV.  
Table 6 shows the basic statistics of the minimum value of the sum of the skill index for each order for 20 trials for both the conventional method and Patterns I to V of the proposed method. In Table 6, the maximum average value for each order is indicated in red, and the minimum average is in blue. For the average values, Pattern III has the minimum value, and Pattern V has the maximum value for T1. For T2 to T5, Pattern V has the minimum value, and Pattern I has the maximum value. However, for T1, the average values are almost the same for both the proposed and conventional methods. The average value of T5 for Pattern I (=52.483) is closest to the maximum value of the sum of the skill index (=54), indicating that the operators have almost reached the Expert level. The average values of Patterns I and II of the proposed method exceeded those of the conventional method, and the gap widened as the orders progressed. For Patterns III to V of the proposed method, the average values were smaller than those of the conventional method from T2 onwards. For the conventional method and Patterns, I to III of the proposed methods, the value of the best solution increased as the order progressed, while for Patterns IV and V of the proposed method, the value of the best solution decreased as the order progressed.