Research Article

Combining Interval Branch and Bound and Stochastic Search

Table 4

The maximum list length from A2 and the ratio of the maximum list length from A3, A6, and A8 to the maximum list length from A2 when . Also the result of the number of iterations.

fn Max length Ratio Number of iterations Ratio
A2 A3 A6 A8 A2 A3 A6 A8

1 188 232.7 4.2 1.1 682 586.5 5.1 1.1
2 38 1930 6.2 1.2 153 2614.4 10 1
3 22 407.7 13.6 1.6 159 2331.7 14.3 1.1
4 36 1129.4 5.3 1.3 239 1673.6 8.5 1.1
5 3 1 69 87 239 1.17 0.10 0.09
6 23 377.5 13.9 1.7 177 1294.8 10.3 1
7 52 6133.6 3.8 1.4 166 2409.6 5.4 1
8 50 3492.6 4.4 1.3 176 2272.7 5.9 1.1
9 44 3968.9 6.5 1.4 171 2339.2 6.3 1
10 49 3713 4.8 1.4 171 2339.2 7.1 1
11 112 1689.4 5.4 1 209 1913.9 7 1.1