Research Article

Combining Interval Branch and Bound and Stochastic Search

Table 9

The maximum list length from A2 and the ratio of the maximum list length from Algorithms 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 2238 1.24 1.32 2238 2.96 3.27
2 465 1.41 1.63 465 3.36 6.33
3 389 1.18 2.29 389 3.26 5.24
4 742 1.03 1.04 742 3.22 3
5 3 69.33 69.67 3 3.37 3
6 383 1.42 1.43 383 3.33 3
7 710 1.1 1.11 710 3.03 3
8 655 1.05 1.05 655 3.26 3.02
9 465 1.3 1.3 465 3.12 3.01
10 524 1.24 1.25 524 3.12 3
11 1586 1.02 ā€” 1586 2.98 ā€”