# A Local Search-Based Generalized Normal Distribution Algorithm for Permutation Flow Shop Scheduling
## 5 Results and Comparisons
### Comparison under Reeves
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c c c} \hline \hline
**Inst** & _Algorithm_ & \(\mathbf{Z^{\prime}}\) & **BRE** & **WRE** & **ARE** & \(\mathbf{Z_{\text{arg}}}\) & _Time(MS)_ & _SD_ & **Inst** & \(\mathbf{Z^{\prime}}\) & **BRE** & **WRE** & **ARE** & \(\mathbf{Z_{\text{arg}}}\) & **Time(MS)** & _SD_ \\ \hline \multirow{10}{*}{_rrcC3I_} & IRGNDO & & 0.0085 & **0.0276** & 0.0207 & 3108.0000 & 4.8699 & **18.6744** & & 0.0302 & 0.0569 & 0.0422 & 5169.2000 & 17.2578 & 31.5546 \\ \cline{2-13}  & HGNDDO & & 0.0039 & **0.0276** & **0.0131** & **3084.9667** & 4.7237 & 19.3278 & & 0.0252 & **0.0466** & 0.0368 & 5142.5667 & 18.9444 & **30.6884** \\ \cline{2-13}  & HGNDDO & & 0.0033 & **0.0276** & **0.0145** & **3089.2000** & 5.7295 & 24.3604 & & **0.0204** & 0.0546 & **0.0359** & **5137.9333** & 20.3596 & 38.5650 \\ \cline{2-13}  & HMPA & & 0.0151 & 0.0309 & 0.0245 & 3119.5000 & 6.4491 & 12.0796 & & 0.0310 & 0.0575 & 0.0425 & 5170.6667 & 13.1488 & 34.8715 \\ \cline{2-13}  & HWOA & & **0.0026** & 0.0348 & 0.0127 & 3098.9333 & 7.4365 & 26.6632 & & 0.0236 & 0.0514 & 0.0373 & 5144.8667 & 27.8736 & 29.6533 \\ \cline{2-13}  & HEO & & 0.0197 & 0.0525 & 0.0334 & 3146.8000 & 1.0823 & 20.8477 & & 0.0369 & 0.0722 & 0.0527 & 5221.5333 & 2.4905 & 36.3187 \\ \cline{2-13}  & HSCA & & 0.0154 & 0.1846 & 0.0547 & 3211.6000 & 2.6588 & 187.0270 & & 0.0349 & 0.2119 & 0.0516 & 5216.0667 & 6.6015 & 151.4369 \\ \cline{2-13}  & HSSA & & 0.0187 & 0.2125 & 0.0695 & 3256.5333 & 0.5026 & 203.7153 & & 0.0399 & 0.0704 & 0.0549 & 5232.0667 & **1.4595** & 36.8953 \\ \cline{2-13}  & HTSA & & 0.0138 & 0.1941 & 0.0663 & 3247.0000 & 3.1755 & 214.0903 & & 0.0331 & 0.2407 & 0.0648 & 5281.2000 & 7.3321 & 276.2412 \\ \cline{2-13}  & HGA & & 0.0223 & 0.0693 & 0.0342 & 3149.2000 & 3.0078 & 27.9552 & & 0.0411 & 0.0774 & 0.0547 & 5231.3333 & 7.0161 & 35.3802 \\ \hline \multirow{10}{*}{_rrcC3I_} & IRGNDO & & 0.0058 & **0.0109** & 0.0084 & 3140.1333 & 4.8495 & 2.1868 & & & & & & & & & & \\ \cline{2-13}  & HGNDDO & & **0.0000** & 0.0202 & 0.0085 & 3140.5000 & 4.7668 & 8.2735 & & & & & & & & & & \\ \cline{2-13}  & HGNDDO & & 0.0013 & 0.0202 & **0.0078** & **3138.3333** & 5.6585 & 11.2497 & & & & & & & & & \\ \cline{2-13}  & HMPA & & 0.0083 & 0.0028 & 0.0109 & 3147.9667 & 6.3048 & 13.6808 & & & & & & & & & \\ \cline{2-13}  & HWOA & & 0.0083 & 0.0083 & 0.0083 & 3140.0000 & 7.0735 & **0.0000** & & & & & & & & & \\ \cline{2-13}  & HEO & & 0.0071 & 0.0369 & 0.0160 & 3163.9000 & 1.0421 & 20.2227 & & & & & & & & & \\ \cline{2-13}  & HSCA & & 0.0013 & 0.1532 & 0.0190 & 3173.2000 & 2.6069 & 98.5341 & & & & & & & & & \\ \cline{2-13}  & HSSA & & 0.0039 & 0.1689 & 0.0250 & 3191.8667 & 0.4736 & 118.6611 & & & & & & & & & \\ \cline{2-13}  & HTSA & & 0.0022 & 0.1811 & 0.0923 & 3401.2667 & 3.0636 & 240.2365 & & & & & & & & & \\ \cline{2-13}  & HGA & & 0.0080 & 0.0466 & 0.0148 & 3160.0000 & 2.8183 & 24.0680 & & & & & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 6: _Cont._  
Figure 9: Comparison in terms of BRE, ARE, and WRE on [PERSON] instances. Figure 11: Boxplot for reC01 instance. Figure 12: Boxplot for reC03 instance. Figure 10: Comparison in terms of time, SD, and Avg on Reeves instances. Figure 14: Boxplot for reC07 instance. Figure 13: Boxplot for reC05 instance. Figure 15: Boxplot for reC09 instance. Figure 16: Boxplot for reC11 instance. Figure 17: Boxplot for reC13 instance. Figure 9:0 Boxplot for reC15 instance.