# 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{3-5}  & & & & **Avg** & **Best\({}^{*}\)** \\ \hline BR1-051 & **97.11** & **97.11** & 97.08 & 95.12 & 95.87 \\ BR1-052 & 94.73 & 94.60 & 94.73 & **95.78** & 95.81 \({}^{*}\) \\ BR1-053 & 89.59 & 89.59 & 91.65 & **93.03** & 93.70 \({}^{*}\) \\ BR1-054 & 92.37 & 92.54 & **93.05** & **93.05** & 93.33 \({}^{*}\) \\ BR1-055 & **90.62** & **90.62** & **90.62** & 87.64 & 87.64 \\ BR1-056 & 97.26 & 96.14 & **97.32** & 95.71 & 96.68 \\ BR1-057 & 95.60 & 95.48 & **96.22** & 94.24 & 95.49 \\ BR1-058 & **94.45** & 92.61 & 93.94 & 94.17 & 94.68 \({}^{*}\) \\ BR1-059 & **97.57** & 96.76 & 96.38 & 95.99 & 97.16 \\ BR1-060 & 95.86 & 95.86 & **95.96** & 93.61 & 94.88 \\ BR1-061 & 95.90 & 95.90 & **95.97** & 91.67 & 93.69 \\ BR1-062 & 93.07 & 92.96 & **94.20** & 92.16 & 92.76 \\ BR1-063 & 91.76 & **93.15** & 93.05 & 92.30 & 93.66 \({}^{*}\) \\ BR1-064 & 94.59 & 94.24 & **95.44** & 91.49 & 91.83 \\ BR1-065 & 97.71 & **97.87** & **97.87** & 95.63 & 96.78 \\ BR1-066 & 96.16 & 95.39 & **96.20** & 94.92 & 95.81 \\ BR1-067 & 95.92 & 95.72 & **96.06** & 92.96 & 93.50 \\ BR1-068 & **97.06** & 96.81 & **97.06** & 94.82 & 95.23 \\ BR1-069 & **92.93** & 91.37 & 92.38 & 91.48 & 92.65 \\ BR1-070 & 91.35 & 91.35 & 90.71 & **94.94** & 95.19 \({}^{*}\) \\ BR1-071 & 92.98 & 91.97 & 93.14 & **93.36** & 93.57 \({}^{*}\) \\ BR1-072 & 92.43 & 92.72 & 92.52 & **93.12** & 93.60 \({}^{*}\) \\ BR1-073 & 91.71 & 91.67 & 91.66 & **93.53** & 94.52 \({}^{*}\) \\ BR1-074 & 94.43 & 94.68 & **94.98** & 91.33 & 92.57 \\ BR1-075 & 93.66 & **94.55** & **94.55** & 93.13 & 93.13 \\ BR1-076 & 96.56 & 96.59 & **96.67** & 95.47 & 96.30 \\ BR1-077 & **97.26** & **97.26** & **97.26** & 93.80 & 94.84 \\ BR1-078 & 93.84 & 93.95 & **94.67** & 93.22 & 93.29 \\ BR1-079 & 94.82 & 94.82 & 94.82 & **94.88** & 95.40 \({}^{*}\) \\ BR1-080 & 95.91 & 96.36 & **96.65** & 95.11 & 95.11 \\ BR1-081 & **92.77** & 92.44 & 92.44 & 91.16 & 92.30 \\ BR1-082 & 93.74 & 93.83 & **94.39** & 91.75 & 93.17 \\ BR1-083 & **95.83** & **95.83** & **95.83** & 92.72 & 94.57 \\ BR1-084 & 93.84 & 94.15 & **94.40** & 93.47 & 94.51 \({}^{*}\) \\ BR1-085 & 97.99 & 97.55 & **98.03** & 95.50 & 95.80 \\ BR1-086 & **96.14** & 95.11 & 95.11 & 94.15 & 94.81 \\ BR1-087 & **93.76** & 93.38 & **93.76** & 89.49 & 91.12 \\ BR1-088 & 94.29 & 93.19 & **94.54** & 90.20 & 91.40 \\ BR1-089 & 88.21 & 88.21 & 88.21 & **93.17** & 94.24 \({}^{*}\) \\ BR1-090 & **92.82** & 92.52 & **92.82** & 88.96 & 89.46 \\ BR1-091 & 97.09 & **97.14** & **97.14** & 95.17 & 95.52 \\ BR1-092 & **93.10** & 90.88 & 92.71 & 92.80 & 93.27 \({}^{*}\) \\ BR1-093 & **95.91** & 95.90 & 95.67 & 93.12 & 94.17 \\ BR1-094 & 95.44 & **95.97** & **95.97** & 93.39 & 95.08 \\ BR1-095 & 95.20 & **95.92** & 95.70 & 92.90 & 92.90 \\ BR1-096 & **95.79** & **95.79** & **95.79** & 93.28 & 94.22 \\ BR1-097 & **94.87** & 93.78 & **94.87** & 93.90 & 94.41 \\ BR1-098 & 96.14 & **96.69** & **96.69** & 93.96 & 94.87 \\ BR1-099 & 93.82 & 94.16 & **94.48** & 89.16 & 90.39 \\ BR1-100 & 96.62 & **98.16** & **98.16** & 94.04 & 94.68 \\ \hline \hline \multicolumn{5}{l}{\({}^{*}\) The best solution of BLHM over 10 runs is better than the solutions found by the other algorithms.} \\ \end{tabular}
\end{table} 
Table 2: Results for group BR1 (cont.). (considering the _average_ column), respectively. It is important to note that the efficiency of BLHM decreased as the heterogeneity of the instances increased.