Research Article

Combining Interval Branch and Bound and Stochastic Search

Table 8

The maximum list length from A2 and the ratio of the maximum list length from A6 and A8 to the maximum list length from A2 when . Also the result of the total number of function evaluations ( and ).

fn Max length Ratio # fn eval Ratio
A2 A6 A8 A2 A6 A8

1 858 1.16 1.23 12494 2.66 20.05
2 187 0.44 1.21 2502 2.82 18.94
3 147 1.06 1.07 2870 2.84 19.75
4 222 1.20 1.20 4282 2.80 19.53
5 3 27.00 27.67 3842 3.07 4.48
6 143 1.34 1.33 2878 2.96 20.80
7 278 1.01 1.05 2718 2.97 20.92
8 213 1.28 1.28 2830 2.96 20.22
9 178 1.39 1.40 2762 2.83 19.80
10 210 1.21 1.25 2762 2.85 19.72
11 541 3.00 35.80 3834 6.85 401.70