# A Two-Phase Approach for Single Container Loading with Weakly Heterogeneous Boxes
## 3 Computational Experiments
### Numerical Results
\begin{table}
\begin{tabular}{l c c c c c} \hline \hline \multirow{2}{*}{**Instance**} & \multirow{2}{*}{**CLTRS [4]**} & \multirow{2}{*}{**ID-GLTS [7]**} & \multirow{2}{*}{**BSG-VCS [36]**} & \multicolumn{2}{c}{**BLHM**} \\ \cline{5-6}  & & & & **Avg** & **Best\({}^{*}\)** \\ \hline BR2-001 & 95.50 & 95.55 & **95.98** & 91.85 & 92.71 \\ BR2-002 & **95.50** & 95.22 & 95.11 & 93.40 & 93.74 \\ BR2-003 & 94.14 & **95.52** & 95.42 & 89.91 & 91.63 \\ BR2-004 & 93.68 & 93.39 & **94.23** & 93.91 & 95.16 * \\ BR2-005 & 95.89 & 96.24 & **96.24** & 92.13 & 93.77 \\ BR2-006 & 96.33 & 96.24 & **96.65** & 91.40 & 93.27 \\ BR2-007 & 96.19 & 95.70 & **96.70** & 93.13 & 94.18 \\ BR2-008 & 94.12 & 94.14 & **94.20** & 91.39 & 91.63 \\ BR2-009 & **95.23** & 94.39 & 95.00 & 91.34 & 92.12 \\ BR2-010 & **96.69** & 96.15 & 96.33 & 94.30 & 95.25 \\ BR2-011 & 93.34 & 94.02 & **95.21** & 90.24 & 91.69 \\ BR2-012 & 93.75 & 94.56 & **94.85** & 91.12 & 92.00 \\ BR2-013 & 95.75 & 96.58 & **96.71** & 92.88 & 94.64 \\ BR2-014 & 94.11 & 94.18 & **94.60** & 92.67 & 93.88 \\ BR2-015 & 95.85 & 96.00 & **96.16** & 91.80 & 93.68 \\ BR2-016 & 94.21 & 94.88 & **95.79** & 92.47 & 93.05 \\ BR2-017 & **96.07** & 95.88 & 95.93 & 91.68 & 92.85 \\ BR2-018 & 92.74 & 93.49 & **94.70** & 90.37 & 91.44 \\ BR2-019 & 95.07 & **95.73** & 95.60 & 91.94 & 93.55 \\ BR2-020 & 94.36 & **94.77** & 94.42 & 91.92 & 93.48 \\ BR2-021 & 93.36 & 93.68 & **95.41** & 91.87 & 93.05 \\ BR2-022 & 93.76 & 93.98 & **94.81** & 90.23 & 91.32 \\ BR2-023 & 91.01 & 90.43 & 90.98 & **92.48** & 92.68 * \\ BR2-024 & 92.28 & 92.46 & **92.55** & 91.13 & 92.34 \\ BR2-025 & 95.60 & 95.24 & **96.34** & 91.87 & 92.86 \\ BR2-026 & 95.19 & 95.09 & **95.38** & 92.55 & 93.73 \\ BR2-027 & 93.34 & 93.24 & **93.95** & 92.31 & 92.90 \\ BR2-028 & 93.74 & 93.82 & **94.52** & 91.85 & 93.17 \\ BR2-029 & 96.67 & 96.04 & **97.02** & 96.62 & 97.02 * \\ BR2-030 & 97.33 & 97.59 & **97.94** & 94.22 & 94.35 \\ BR2-031 & 95.75 & 94.74 & **96.28** & 90.66 & 92.26 \\ BR2-032 & 95.72 & 95.61 & **96.45** & 92.63 & 93.39 \\ BR2-033 & 96.04 & **96.14** & 95.87 & 93.95 & 94.31 \\ BR2-034 & **95.83** & 95.10 & 95.43 & 92.78 & 93.86 \\ BR2-035 & 95.46 & **95.76** & 95.74 & 91.98 & 92.41 \\ BR2-036 & 95.27 & **95.47** & 95.29 & 93.92 & 94.44 \\ BR2-037 & 94.45 & 94.41 & **95.79** & 92.14 & 93.32 \\ BR2-038 & 93.82 & **94.67** & 94.67 & 90.45 & 91.16 \\ BR2-039 & 95.79 & 96.64 & **97.25** & 94.75 & 95.47 \\ BR2-040 & 93.06 & 93.31 & **94.07** & 91.05 & 92.19 \\ BR2-041 & **94.14** & **94.14** & 93.83 & 93.01 & 93.45 \\ BR2-042 & 95.20 & 95.10 & **95.56** & 92.88 & 94.06 \\ BR2-043 & 94.00 & **94.44** & **94.44** & 90.33 & 90.77 \\ BR2-044 & 90.14 & 90.70 & **92.33** & 89.38 & 89.38 \\ BR2-045 & 95.10 & 95.43 & **95.59** & 92.76 & 93.84 \\ BR2-046 & 93.61 & 93.67 & **94.12** & 93.07 & 93.57 \\ BR2-047 & 95.76 & 95.96 & **96.03** & 93.51 & 93.88 \\ BR2-048 & 96.18 & 96.87 & **97.35** & 94.06 & 94.94 \\ BR2-049 & 95.99 & 95.94 & **96.03** & 94.35 & 94.41 \\ BR2-050 & 97.03 & 97.04 & **97.58** & 93.85 & 94.68 \\ \hline \hline \end{tabular}  
* The best solution of BLHM over 10 runs is better than the solutions found by the other algorithms.  
\end{table} 
Table 3: Results for group BR2.