Table 6: Comparison among DGHS and IGHS together with IGHS-II on ten knapsack benchmarks.

No. maxFEs Index IGHS IGHS-II DGHS
Mean Std. SR Mean Std. SR Mean Std. SR

Kp1 1000 238.18 38.5289 2/50 294.16 0.3703 8/50 295 0 50/50
Rank 3 2 1
Kp2 1000 936.36 52.4446 1/50 1018.48 1.6442 4/50 1024 0 50/50
Rank 3 2 1
Kp3 1000 32.80 2.8500 25/50 35 0 50/50 35 0 50/50
Rank 3 1 1
Kp4 1000 21.08 2.1931 20/50 21.02 2.1043 18/50 23 0 50/50
Rank 2 3 1
Kp5 1000 386.88 63.4233 8/50 481.0694 0 50/50 481.0694 0 50/50
Rank 3 1 1
Kp6 1000 48.96 2.9413 16/50 52 0 50/50 52 0 50/50
Rank 3 1 1
Kp7 1000 95.10 9.1032 2/50 104.54 2.1591 17/50 107 0 50/50
Rank 3 2 1
Kp8 1000 9695.42 55.4923 1/50 9760.72 6.9400 26/50 9767 0 50/50
Rank 3 2 1
Kp9 1000 120.46 9.0649 21/50 130 0 50/50 130 0 50/50
Rank 3 1 1
Kp10 1000 955.92 49.5991 1/50 1019.36 1.4393 3/50 1025 0 50/50
Rank 3 2 1

Average rank 2.9 1.71
Overall rank 3 21