Computational Intelligence and Neuroscience

Research Article

Chaotic Enhanced Genetic Algorithm for Solving the Nonlinear System of Equations

Table 3

Results for benchmark 3, Combustion application.
MethodNo. of iterations
EAA2.8724570E − 4−9.0156756E − 5−1.8038E − 05300
4.6449359E − 004−3.3881318E − 021
−3.8722475E − 006−5.9848143E − 008
5.7046411E − 005−9.0000000E − 005
1.2033492e + 000−2.0652682E − 008
3.2144041e + 000−1.0783996E − 007
−2.3523205E − 005−3.2542930E − 009
3.3872248E − 0051.1173545E − 009
1.6152635e + 000−3.3367727E − 008
GAs7.7944699E − 5−9.0000000E − 5−1.8034E − 0570
2.3453123E − 4−4.7433845E − 20
5.6870072E − 8−5.5091023E − 18
−5.1124010E − 4−9.0000000E − 5
1.1665683E − 1−7.8705351E − 11
3.6717284E − 1−7.3037986E − 8
2.6062005E − 4−2.6136644E − 7
2.9943130E − 54.7478263E − 14
2.6776713E − 1−1.6938693E − 9
−5.0116867E − 1−4.2883872E − 12
−4.0222631e + 000−6.1982897E − 011
Hybrid-GOA-GA1.5541664E − 98.5611E − 121.2499E − 09300
4.6710388E − 61.2440E − 08
2.9852019E − 51.9449E − 14
1.7239638E − 106.6138E − 12
9.8332225E − 65.0547E − 13
2.5029647E − 64.3385E − 11
4.9999104E − 62.5812E − 20
1.3554000E − 72.6115E − 14
9.4779067E − 81.3886E − 15
1.1412198E − 73.3671E − 20
Original GA0.0001315954924671851.2576E − 047.4518E − 05300
8.25174833157296E − 051.0366E − 04
−2.161001949566601.5119E − 04
−0.007289299377438002.6026E − 05
−2.847213324836021.6368E − 07
−4.258641108005854.4243E − 07
0.003636636810605005.3134E − 05
2.161135613791062.8470E − 04
−1.450630009538091.0072E − 07
4.983856975638828.8564E − 13
CEGA1.15278259019717E − 065.7802E − 114.5300E − 09183
9.06471796614326E − 064.4498E − 08
1.56300393104332E − 054.5304E − 10
7.01041293845308E − 064.9701E − 11
2.11248562801178E − 061.2203E − 12
1.28545186382671E − 071.6433E − 10
1.49481838115443E − 064.9146E − 11
1.43254622355700E − 051.5875E − 11
5.33696042558367E − 091.0449E − 11
3.36398449219863E − 079.4722E − 17