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In-Depth Information
[ 9] = f(0.473895) = 1.34652
[10] = f(-0.159022) = 0.847323
[11] = f(-1.30818) = --
[12] = f(1.40198) = 1.08736
[13] = f(4.32357) = --
[14] = f(1.20677) = 1.25467
[15] = f(1.85531) = 2.82954
[16] = f(0.426208) = 1.31259
[17] = f(-0.061344) = 1.05749
[18] = f(-0.77164) = 0.399917
[19] = f(0.915916) = 0.560869
The expression of the best individual of this generation (chromosome 15)
is shown in Figure 8.7. It encodes the parameter value
x
0
= 1.85531, which
corresponds to the output
f
(
x
0
) = 2.82954, reaching a new height in the solu-
tion space. Note again that this individual is not related to the best of the
previous generations; it is rather a direct descendant of chromosome 15 of
generation 3, the third best of its generation. Indeed, in the GEP-PO system,
all newly created individuals have a past history that can be easily traced
back to its ancestors in the initial population.
a.
01234567890123456
+?/+/??????210412
C = {1.5076, -0.039703, 1.41498, 0.660401, -0.132354}
b.
ET
1.41498
-0.039703
1.5076
-0.132354
-0.039703
f
(1.85531)
(2.82954)
c.
Figure 8.7.
Best individual of generation 4 (chromosome 15) created to find the
global maximum of function (8.4).
a)
The chromosome of the individual with its
random numerical constants.
b)
The fully expressed individual.
c)
The parameter
value encoded in the chromosome and corresponding function value.
