Research Article

Efficient Conical Area Differential Evolution with Biased Decomposition and Dual Populations for Constrained Optimization

Table 3

General performance in terms of function error values achieved by CADE for test functions g07-g12.

FES Itemg07 g08 g09 g10 g11 g12

Best3.8889e+01(0)5.0449e-04(0)3.7054e+01(0)1.6100e+04(0)2.4117e-04(0)1.4196e-04(0)
Median4.9337e+01(0)3.8840e-03(0)5.7153e+01(0)1.4906e+047.6689e-03(0)3.4115e-04(0)
Worst7.9337e+01(0)8.3131e-03(0)2.5886e+02(0)1.6175e+031.8138e-017.9159e-03(0)
c0,0,00,0,00,0,00,1,00,0,00,0,0
v0.0000e+000.0000e+000.0000e+001.1763e-013.0374e-050.0000e+00
Mean6.7318e+012.8911e-038.5154e+018.6601e+032.9141e-021.1298e-03
Std1.4768e+012.6133e-036.3287e+015.9987e+035.3485e-022.2659e-03

Best1.1906e+00(0)6.6944e-06(0)3.2957e+00(0)7.2014e+02(0)2.0799e-06(0)4.5076e-08(0)
Median2.2255e+00(0)1.7618e-05(0)4.2117e+00(0)1.0794e+023.4848e-05(0)4.5530e-07(0)
Worst2.4811e+00(0)2.9758e-04(0)1.4487e+01(0)1.0794e+021.2432e-04(0)4.2346e-05(0)
c0,0,00,0,00,0,00,1,00,0,00,0,0
v0.0000e+000.0000e+000.0000e+008.4681e-030.0000e+000.0000e+00
Mean1.7385e+008.1565e-057.6103e+001.5275e+034.1823e-056.7478e-06
Std3.9932e-019.3552e-053.3171e+002.0254e+033.4067e-051.2597e-05

Best-2.0229e-11(0)1.8036e-11(0)1.7053e-12(0)-3.8199e-11(0)-1.1102e-16(0)0.0000e+00(0)
Median-2.0229e-11(0)1.8036e-11(0)1.7053e-12(0)-3.7289e-11(0)-1.1102e-16(0)0.0000e+00(0)
Worst-2.0222e-11(0)1.8036e-11(0)1.8190e-12(0)-3.7289e-11(0)-1.1102e-16(0)0.0000e+00(0)
c0,0,00,0,00,0,00,0,00,0,00,0,0
v0.0000e+000.0000e+000.0000e+000.0000e+000.0000e+000.0000e+00
Mean-2.0228e-111.8036e-111.7280e-12-3.7471e-11-1.1102e-160.0000e+00
Std2.8422e-150.0000e+004.5475e-143.6380e-130.0000e+000.0000e+00