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In-Depth Information
Experimental settings
Population model
(15,100)
Mutation type
standard
Crossover type
int, dom, SAR, dSAR,
ρ
=2
Selection type
comma
Initialization
[-100,100]
Termination
1000 generations, rosenbrock with noise: 2000 generations
Runs
25
Table 6.4 summarizes the experimental results. On the sphere function in-
termediate recombination is much better than dominant recombination. SAR
and iSAR are as good as intermediate recombination, dSAR even slightly worse
than dominant recombination. On rastrigin SAR and also iSAR are slightly, but
not significantly better than intermediate recombination, see the next Wilcoxon
rank-sum test. Intermediate recombination reaches the optimum in 9 of the 25
runs, SAR and iSAR each find the optimum in 10 runs. Dominant and dSAR
Table 6.4.
Experimental comparison of intermediate, dominant recombination, SAR
and dSAR on five selected continuous test functions. SAR is as good as intermediate
recombination, but in particular not statistically worse, see the Wilcoxon rank-sum
test. On the sharp ridge dominant recombination and dSAR are superior to SAR and
int.
int
dom
SAR
iSAR
dSAR
sphere
best
2.36E-150
3.76E-128
1.78E-150
3.25E-150
2.54E-123
worst
3.60E-141
1.12E-109
1.52E-140
1.10E-141
1.70E-108
mean
2.07E-142
4.47E-111
6.12E-142
4.87E-143
6.96E-110
dev
7.36E-142
2.23E-110
3.03E-141
2.20E-142
3.39E-93
rastrigin
best
0.00
1.99
0.00
0.00
4.97
worst
2.98
19.89
1.98
3.97
22.88
mean
1.15
7.64
0.79
0.95
11.42
dev
1.13
4.81
0.75
1.05
5.65
rosenbrock noise
best
1.31
1.75
1.26
2.18
1.99
worst
19.05
8310.17
385.20
9.41
4072.36
mean
5.76
683.08
28.30
5.43
429.60
dev
3.06
2181.75
82.70
1.23
1020.40
sharp ridge
best
-6.29E+192 -3.51E+248 -8.13E+187 -1.84E+190 -1.62E+242
worst
-1.46E+175 -7.84E+217 -1.27E+174 -2.29E+171 -3.67E+202
mean
-2.52E+191 -1.40E+247 -5.63E+186 -7.63E+188 -1.10E+241
2
.
40
best
-4954.77
-4941.65
-4956.74
-4932.08
-4950.60
worst
-4099.45
-3835.10
-3994.14
-4019.12
-4174.98
mean
-4626.94
-4585.72
-4569.26
-4639.31
-4671.73
dev
260.12
319.05
281.91
241.60
239.13
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