Table 8 The comparison of obtained solutions for CEC 2017 functions.

From: Hybrid rice optimization algorithm inspired grey wolf optimizer for high-dimensional feature selection

F

D

EI

HRO

GWO

HO

IVYA

HRO-GWO

F1

10

Best

4.202e+03

2.719e+03

2.510e+02

1.079e+02

3.493e+06

Avg

1.118e+07

3.273e+07

7.160e+03

3.502e+07

1.076e+07

Wor.

5.825e+07

4.974e+08

3.469e+04

1.042e+09

2.010e+07

Std

1.696e+07

1.088e+08

9.046e+03

1.902e+08

4.104e+06

30

Best

4.969e+09

1.325e+07

6.842e+04

1.257e+02

2.388e+08

Avg

7.697e+09

1.508e+09

7.681e+05

7.820e+06

5.673e+08

Wor.

1.343e+10

3.849e+09

1.003e+07

2.202e+08

1.237e+09

Std

1.898e+09

9.554e+08

1.898e+06

4.020e+07

2.836e+08

50

Best

4.106e+10

3.205e+09

1.107e+08

2.872e+02

1.042e+09

Avg

6.083e+10

7.471e+09

1.737e+09

3.309e+04

3.764e+09

Wor.

7.985e+10

1.646e+10

3.287e+09

1.626e+05

8.295e+09

Std

9.650e+09

3.510e+09

1.024e+09

1.626e+05

1.524e+09

F3

10

Best

2.242e+03

3.258e+02

3.020e+02

3.000e+02

3.065e+02

Avg

5.906e+03

2.112e+03

4.601e+02

3.236e+02

3.464e+02

Wor.

1.256e+04

1.330e+04

9.215e+02

4.572e+02

5.036e+02

Std

2.552e+03

3.051e+03

1.463e+02

4.020e+01

4.821e+01

30

Best

7.260e+04

2.185e+04

2.553e+04

3.550e+04

3.171e+03

Avg

1.023e+05

3.977e+04

4.239e+04

5.185e+04

1.037e+03

Wor.

1.466e+05

5.638e+04

5.189e+04

7.374e+04

2.007e+04

Std

1.711e+04

1.037e+04

6.033e+03

9.036e+03

4.178e+03

50

Best

1.668e+05

7.103e+04

7.730e+04

1.361e+05

3.007e+04

Avg

2.220e+05

1.035e+05

1.072e+05

2.613e+05

4.571e+04

Wor.

2.747e+05

1.457e+05

1.240e+05

4.588e+05

6.036e+04

Std

2.758e+04

2.034e+04

1.198e+04

7.475e+04

8.231e+03

F4

10

Best

4.059e+02

4.040e+02

4.000e+02

4.000e+02

4.017e+02

Avg

4.080e+02

4.146e+02

4.126e+02

4.074e+02

4.069e+02

Wor.

4.151e+02

4.638e+02

4.731e+02

4.852e+02

4.088e+02

Std

2.004e+02

1.697e+01

2.151e+01

1.526e+01

1.486e+00

30

Best

6.767e+02

5.075e+02

4.804e+02

4.695e+02

5.022e+02

Avg

8.630e+02

6.021e+02

5.916e+02

5.033e+02

5.357e+02

Wor.

1.404e+03

7.540e+02

7.232e+02

5.641e+02

5.588e+02

Std

1.478e+02

5.924e+02

5.733e+01

2.150e+01

2.349e−123

50

Best

2.646e+03

6.799e+02

8.319e+02

4.761e+02

6.731e+02

Avg

4.743e+03

1.095e+03

1.097e+03

5.600e+02

7.978e+02

Wor.

7.493e+03

1.072e+03

1.556e+03

6.771e+02

1.062e+03

Std

1.146e+03

3.146e+02

1.615e+02

5.588e+01

8.443e+01

F5

10

Best

5.359e+02

5.062e+02

5.070e+02

5.070e+02

5.094e+02

Avg

5.468e+02

5.192e+02

5.337e+02

5.280e+02

5.153e+02

Wor.

5.613e+02

5.500e+02

5.567e+02

5.662e+02

5.269e+02

Std

6.469e+00

8.954e+00

1.302e+01

1.410e+01

4.017e+00

30

Best

7.958e+02

5.806e+02

6.086e+02

6.373e+02

6.103e+02

Avg

8.533e+02

6.613e+02

7.210e+02

7.140e+02

6.540e+02

Wor.

8.960e+02

7.430e+02

7.906e+02

8.094e+02

6.960e+02

Std

2.508e+01

3.965e+01

4.425e+01

4.423e+01

2.019e+01

50

Best

1.170e+03

7.107e+02

7.760e+02

7.467e+02

7.546e+02

Avg

1.225e+03

7.797e+02

8.512e+02

8.465e+02

8.164e+02

Wor.

1.330e+03

1.004e+03

9.144e+02

8.970e+02

8.845e+02

Std

4.105e+01

3.024e+01

3.116e+01

4.250e+01

2.714e+01

F6

10

Best

6.074e+02

6.000e+02

6.089e+02

6.000e+02

6.012e+02

Avg

6.120e+02

6.118e+02

6.229e+02

6.014e+02

6.009e+02

Wor.

6.250e+02

6.045e+02

6.461e+02

6.261e+02

6.033e+02

Std

3.415e+00

1.009e+00

9.888e+00

4.962e+00

4.331e−01

30

Best

6.552e+02

6.093e+02

6.428e+02

6.000e+02

6.071e+02

Avg

6.677e+02

6.173e+02

6.564e+02

6.114e+02

6.098e+02

Wor.

6.841e+02

6.171e+02

6.721e+02

6.410e+02

6.169e+02

Std

7.096e+00

3.463e+00

7.674e+00

1.294e+01

2.159e+00

50

Best

6.780e+02

6.086e+02

6.572e+02

6.010e+02

6.135e+02

Avg

6.952e+02

6.177e+02

6.662e+02

6.228e+02

6.176e+02

Wor.

7.075e+02

6.302e+02

6.765e+02

6.638e+02

6.251e+02

Std

6.101e+00

4.706e+00

5.505e+00

1.962e+01

3.272e+00

F7

10

Best

7.458e+02

7.331e+02

7.294e+02

7.474e+02

7.228e+02

Avg

7.715e+02

7.406e+02

7.574e+02

7.955e+02

7.331e+02

Wor.

7.833e+02

7.657e+02

7.810e+02

8.390e+02

7.414e+02

Std

1.014e+01

1.292e+01

1.776e+01

2.042e+01

4.379e+00

30

Best

1.344e+03

8.275e+02

1.074e+03

1.037e+03

8.891e+02

Avg

1.473e+03

9.298e+02

1.167e+03

1.247e+03

9.216e+02

Wor.

1.648e+03

1.066e+03

1.245e+03

1.374e+03

9.549e+02

Std

7.743e+01

6.894e+01

4.645e+01

8.805e+01

1.796e+01

50

Best

2.481e+03

1.036e+03

1.511e+03

1.320e+03

1.132e+03

Avg

2.762e+03

1.184e+03

1.605e+03

1.670e+03

1.175e+03

Wor.

3.094e+03

1.473e+03

1.745e+03

1.797e+03

1.274e+03

Std

1.462e+02

8.681e+01

6.235e+01

1.327e+02

3.744e+01

F8

10

Best

8.266e+02

8.072e+02

8.129e+02

8.139e+02

8.050e+02

Avg

8.457e+02

8.167e+02

8.201e+02

8.240e+02

8.108e+02

Wor.

8.607e+02

8.326e+02

8.279e+02

8.368e+02

8.201e+02

Std

7.260e+00

6.279e+00

4.263e+00

6.859e+00

2.995e+00

30

Best

1.008e+03

8.632e+02

9.035e+02

8.965e+02

8.868e+02

Avg

1.141e+03

9.191e+02

9.637e+02

9.604e+02

9.157e+02

Wor.

1.182e+03

9.994e+02

1.010e+03

1.003e+03

9.462e+02

Std

2.149e+01

3.318e+01

2.476e+01

2.887e+01

1.398e+01

50

Best

1.471e+03

1.023e+03

1.048e+03

1.088e+03

1.083e+03

Avg

1.540e+03

1.112e+03

1.136e+03

1.175e+03

1.125e+03

Wor.

1.653e+03

1.389e+03

1.210e+03

1.234e+03

1.187e+03

Std

4.195e+01

7.905e+01

3.838e+01

4.770e+01

2.534e+01

F9

10

Best

9.623e+02

9.002e+02

9.220e+02

9.460e+02

9.000e+02

Avg

1.110e+03

9.186e+02

1.142e+03

1.534e+03

9.009e+02

Wor.

1.250e+03

1.096e+03

1.394e+03

1.843e+03

9.016e+02

Std

6.254e+01

3.835e+01

1.429e+02

2.528e+02

3.230e−01

30

Best

9.116e+03

1.116e+03

3.303e+03

4.062e+03

1.029e+03

Avg

1.138e+04

1.941e+03

4.948e+03

5.199e+03

1.259e+03

Wor.

1.623e+04

5.130e+03

6.153e+03

5.872e+03

1.669e+03

Std

1.780e+03

8.429e+02

7.818e+02

4.338e+02

1.532e+02

50

Best

2.796e+04

3.485e+03

1.208e+04

9.917e+03

2.745e+03

Avg

3.884e+04

9.972e+03

1.589e+04

1.270e+04

4.449e+03

Wor.

4.667e+04

2.224e+04

2.033e+04

1.451e+04

6.484e+03

Std

4.132e+03

5.199e+03

2.135e+03

1.180e+03

9.703e+02

F10

10

Best

1.493e+03

1.055e+03

1.329e+03

1.604e+03

1.047e+03

Avg

2.147e+03

1.647e+03

1.817e+03

2.206e+03

1.506e+03

Wor.

2.611e+03

2.689e+03

2.270e+03

3.195e+03

1.864e+03

Std

2.811e+02

3.128e+02

2.549e+02

3.617e+02

1.871e+02

30

Best

7.503e+03

3.294e+03

4.070e+03

4.145e+03

4.585e+03

Avg

8.478e+03

5.049e+03

5.064e+03

5.199e+03

6.084e+03

Wor.

9.066e+03

8.556e+03

5.950e+03

6.824e+03

7.786e+03

Std

3.590e+02

1.419e+03

4.640e+02

6.456e+02

8.610e+02

50

Best

1.426e+04

6.214e+03

6.747e+03

6.407e+03

8.378e+03

Avg

1.498e+04

9.156e+03

8.465e+03

8.200e+03

1.101e+04

Wor.

1.565e+04

1.567e+04

1.060e+04

9.749e+03

1.347e+04

Std

3.691e+02

2.995e+03

8.595e+02

9.488e+02

1.288e+03

F11

10

Best

1.135e+03

1.109e+03

1.110e+03

1.106e+03

1.106e+03

Avg

1.156e+03

1.154e+03

1.144e+03

1.140e+03

1.111e+03

Wor.

1.209e+03

1.266e+03

1.342e+03

1.226e+03

1.119e+03

Std

1.785e+01

4.237e+01

4.076e+01

2.651e+01

2.934e+00

30

Best

3.103e+03

1.294e+03

1.284e+03

1.157e+03

1.137e+03

Avg

5.848e+03

1.637e+03

1.501e+03

1.314e+03

1.304e+03

Wor.

8.041e+03

3.324e+03

2.042e+03

2.509e+03

1.438e+03

Std

1.036e+03

4.633e+02

1.786e+02

2.498e+02

3.851e+01

50

Best

8.879e+03

1.611e+03

1.686e+03

1.356e+03

1.530e+03

Avg

2.227e+04

4.252e+03

2.289e+03

2.169e+03

1.816e+03

Wor.

3.503e+04

9.272e+03

3.165e+03

3.160e+03

3.829e+03

Std

5.325e+03

1.949e+03

3.280e+02

5.122e+02

4.075e+02

F12

10

Best

2.742e+05

2.111e+04

3.808e+03

8.168e+03

2.699e+04

Avg

5.959e+06

8.106e+05

1.712e+05

9.156e+05

1.395e+05

Wor.

2.002e+07

3.602e+06

9.280e+05

3.188e+06

8.651e+05

Std

4.798e+06

9.518e+05

2.470e+05

1.052e+06

1.541e+05

30

Best

3.563e+07

1.865e+06

5.769e+06

2.946e+05

2.503e+07

Avg

1.648e+08

9.399e+07

5.604e+07

1.882e+06

4.431e+07

Wor.

5.547e+08

4.189e+08

1.740e+08

4.133e+06

7.837e+07

Std

1.324e+08

1.215e+08

4.581e+07

9.942e+05

1.438e+07

50

Best

1.639e+09

2.950e+07

9.183e+07

1.053e+06

2.975e+08

Avg

3.441e+09

6.022e+08

1.227e+09

5.344e+06

4.634e+08

Wor.

6.001e+09

2.636e+09

4.718e+08

2.028e+07

8.774e+08

Std

1.117e+09

6.436e+08

2.767e+08

3.814e+06

1.377e+08

F13

10

Best

1.804e+03

2.154e+03

1.570e+03

1.416e+03

1.351e+03

Avg

9.832e+03

1.375e+04

3.709e+03

8.127e+03

4.288e+03

Wor.

2.743e+04

3.254e+04

7.267e+03

2.571e+04

1.130e+04

Std

8.366e+03

7.956e+03

1.800e+03

7.639e+03

2.997e+03

30

Best

3.511e+05

2.964e+04

2.266e+04

4.068e+03

1.122e+06

Avg

2.289e+07

8.387e+06

1.429e+05

2.323e+04

9.642e+06

Wor.

1.623e+08

1.059e+08

5.669e+05

5.850e+04

2.364e+07

Std

3.380e+07

2.306e+07

1.048e+05

1.367e+04

5.702e+06

50

Best

5.400e+04

6.442e+05

4.133e+04

3.632e+03

6.717e+07

Avg

1.849e+08

1.577e+08

3.582e+05

1.272e+04

1.182e+08

Wor.

7.474e+08

7.068e+08

5.316e+06

4.082e+04

1.897e+08

Std

2.146e+08

1.732e+08

9.533e+05

9.121e+03

3.570e+07

F14

10

Best

1.484e+03

1.454e+03

1.434e+03

1.487e+03

1.411e+03

Avg

1.629e+03

3.061e+03

1.473e+03

8.062e+03

1.442e+03

Wor.

2.045e+03

5.650e+03

1.515e+03

2.632e+04

1.461e+03

Std

1.250e+02

1.843e+03

2.227e+01

7.532e+03

1.046e+01

30

Best

7.722e+04

8.117e+03

4.568e+03

1.774e+04

6.241e+03

Avg

2.901e+05

2.883e+05

2.353e+05

8.300e+05

4.212e+04

Wor.

5.783e+05

1.237e+06

9.917e+05

4.156e+06

1.429e+05

Std

1.272e+05

3.454e+05

2.415e+05

9.810e+05

3.082e+04

50

Best

1.042e+06

9.481e+04

1.731e+05

1.452e+05

9.072e+04

Avg

2.872e+06

2.053e+06

1.273e+06

1.537e+06

3.945e+05

Wor.

6.411e+06

6.017e+06

4.540e+06

3.649e+06

1.020e+06

Std

1.215e+06

1.774e+06

1.118e+06

1.047e+06

2.282e+05

F15

10

Best

1.731e+03

1.715e+03

1.608e+03

1.666e+03

1.505e+03

Avg

2.726e+03

4.183e+03

1.991e+03

7.246e+03

1.529e+03

Wor.

4.415e+03

1.071e+04

2.813e+03

2.087e+04

1.559e+03

Std

6.681e+02

2.104e+03

3.535e+02

5.888e+03

1.324e+01

30

Best

5.647e+04

1.732e+04

8.916e+03

2.199e+03

1.921e+04

Avg

9.257e+06

6.128e+05

2.178e+04

6.050e+03

1.319e+05

Wor.

3.104e+07

3.994e+06

6.405e+04

3.540e+04

6.155e+05

Std

1.028e+07

1.086e+06

1.250e+04

6.107e+03

1.259e+05

50

Best

9.197e+05

3.049e+04

9.557e+03

3.120e+03

1.803e+06

Avg

3.292e+07

8.191e+06

9.104e+04

1.290e+07

8.343e+06

Wor.

2.589e+08

4.589e+07

1.009e+06

3.537e+08

2.119e+07

Std

5.348e+07

1.396e+07

1.768e+05

6.464e+07

4.769e+06

F16

10

Best

1.644e+03

1.605e+03

1.617e+03

1.604e+03

1.603e+03

Avg

1.695e+03

1.689e+03

1.849e+03

1.919e+03

1.638e+03

Wor.

1.848e+03

1.998e+03

2.063e+03

2.313e+03

1.843e+03

Std

4.781e+01

9.138e+01

1.186e+02

2.075e+02

5.853e+01

30

Best

3.155e+03

1.979e+03

2.721e+03

2.314e+03

1.973e+03

Avg

3.834e+03

2.477e+03

3.430e+03

2.987e+03

2.367e+03

Wor.

4.213e+03

2.999e+03

4.070e+03

3.723e+03

2.815e+03

Std

2.650e+02

2.718e+02

3.367e+02

3.595e+02

2.228e+02

50

Best

5.314e+03

2.526e+03

3.556e+03

2.714e+03

2.427e+03

Avg

6.007e+03

3.173e+03

4.776e+03

3.713e+03

3.141e+03

Wor.

6.565e+03

4.695e+03

6.183e+03

4.518e+03

3.736e+03

Std

3.241e+02

4.958e+02

7.174e+02

4.806e+02

2.593e+02

F17

10

Best

1.749e+03

1.716e+03

1.739e+03

1.729e+03

1.720e+03

Avg

1.780e+03

1.753e+03

1.761e+03

1.788e+03

1.741e+03

Wor.

1.810e+03

1.805e+03

1.793e+03

1.972e+03

1.789e+03

Std

1.262e+01

1.958e+01

1.188e+01

7.744e+01

1.306e+01

30

Best

2.256e+03

1.808e+03

1.979e+03

1.802e+03

1.727e+03

Avg

2.613e+03

1.981e+03

2.361e+03

2.625e+03

1.961e+03

Wor.

2.908e+03

2.275e+03

2.792e+03

3.099e+03

2.124e+03

Std

1.825e+02

1.356e+02

2.100e+02

2.745e+02

8.104e+01

50

Best

4.325e+03

2.470e+03

2.912e+03

2.430e+03

2.428e+03

Avg

4.905e+03

2.955e+03

3.588e+03

3.580e+03

2.947e+03

Wor.

5.414e+03

3.738e+03

4.376e+03

4.507e+03

3.478e+03

Std

3.120e+02

3.634e+02

3.836e+02

4.675e+02

2.954e+02

F18

10

Best

7.298e+03

2.889e+03

1.846e+03

2.713e+03

3.071e+03

Avg

2.527e+04

2.914e+03

2.397e+04

1.416e+04

2.236e+04

Wor.

1.156e+05

5.532e+04

5.147e+03

4.199e+04

4.833e+04

Std

2.134e+04

1.416e+04

9.235e+01

1.139e+04

1.235e+04

30

Best

1.052e+06

5.170e+04

5.076e+04

8.266e+04

7.160e+04

Avg

6.876e+06

1.430e+06

1.375e+06

1.208e+06

4.947e+05

Wor.

2.058e+07

7.450e+06

5.950e+06

6.972e+06

1.268e+06

Std

4.282e+06

1.678e+06

1.362e+06

1.407e+06

3.018e+05

50

Best

8.580e+06

1.030e+06

5.695e+05

1.815e+05

1.011e+06

Avg

2.700e+07

9.266e+06

2.533e+06

2.812e+06

2.488e+06

Wor.

4.692e+07

5.185e+07

6.130e+06

1.011e+07

4.453e+06

Std

1.014e+07

1.192e+07

1.543e+06

2.528e+06

8.903e+05

F19

10

Best

2.080e+03

1.917e+03

1.923e+03

1.952e+03

1.905e+03

Avg

2.390e+03

6.786e+03

2.154e+03

1.646e+04

1.933e+03

Wor.

2.793e+03

1.502e+04

3.745e+03

1.545e+05

1.981e+03

Std

2.147e+02

5.810e+03

4.523e+02

2.962e+04

2.023e+01

30

Best

5.733e+04

4.858e+03

3.076e+04

2.136e+03

2.850e+04

Avg

1.958e+07

2.737e+06

9.852e+05

6.263e+03

2.056e+05

Wor.

7.632e+07

3.305e+07

2.847e+06

1.649e+04

6.030e+05

Std

2.119e+07

7.044e+06

8.423e+05

3.643e+03

1.320e+05

50

Best

7.123e+04

7.272e+04

1.860e+05

4.915e+03

1.786e+06

Avg

2.241e+07

6.532e+06

5.960e+06

3.632e+04

7.068e+06

Wor.

1.153e+08

9.907e+07

1.392e+07

4.137e+05

1.630e+07

Std

2.968e+07

1.886e+07

4.193e+06

7.713e+04

3.605e+06

F20

10

Best

2.047e+03

2.026e+03

2.034e+03

2.002e+03

2.027e+03

Avg

2.070e+03

2.087e+03

2.087e+03

2.103e+03

2.040e+03

Wor.

2.091e+03

2.215e+03

2.215e+03

2.255e+03

2.063e+03

Std

1.090e+01

6.073e+01

4.852e+01

7.975e+01

8.999e+00

30

Best

2.433e+03

2.169e+03

2.370e+03

2.335e+03

2.150e+03

Avg

2.832e+03

2.418e+03

2.536e+03

2.733e+03

2.328e+03

Wor.

3.017e+03

2.736e+03

2.663e+03

3.277e+03

2.584e+03

Std

1.286e+02

1.467e+02

7.628e+01

2.311e+02

1.022e+02

50

Best

3.605e+03

2.694e+03

2.851e+03

2.889e+03

2.643e+03

Avg

4.166e+03

3.148e+03

3.130e+03

3.438e+03

3.109e+03

Wor.

4.566e+03

4.564e+03

3.477e+03

4.137e+03

3.818e+03

Std

2.401e+02

4.123e+02

2.743e+02

2.743e+02

2.891e+02

F21

10

Best

2.208e+03

2.201e+03

2.203e+03

2.200e+03

2.201e+03

Avg

2.215e+03

2.304e+03

2.298e+03

2.301e+03

2.295e+03

Wor.

2.355e+03

2.342e+03

2.360e+03

2.335e+03

2.323e+03

Std

2.652e+01

3.517e+01

6.368e+01

4.046e+01

4.265e+01

30

Best

2.581e+03

2.348e+03

2.441e+03

2.337e+03

2.392e+03

Avg

2.626e+03

2.396e+03

2.523e+03

2.399e+03

2.431e+03

Wor.

2.663e+03

2.477e+03

2.629e+03

2.495e+03

2.493e+03

Std

2.027e+01

3.030e+01

4.299e+01

3.464e+01

2.402e+01

50

Best

2.890e+03

2.440e+03

2.650e+03

2.433e+03

2.549e+03

Avg

3.021e+03

2.526e+03

2.776e+03

2.527e+03

2.611e+03

Wor.

3.114e+03

2.810e+03

2.881e+03

2.690e+03

2.681e+03

Std

5.337e+01

7.894e+01

5.714e+01

6.992e+01

3.078e+01

F22

10

Best

2.276e+03

2.212e+03

2.302e+03

2.249e+03

2.308e+03

Avg

2.309e+03

2.306e+03

2.308e+03

2.305e+03

2.311e+03

Wor.

2.326e+03

2.363e+03

2.320e+03

2.320e+03

2.312e+03

Std

1.057e+01

2.133e+01

4.201e+00

1.082e+01

4.265e+01

30

Best

3.422e+03

2.418e+03

2.303e+03

2.300e+03

2.375e+03

Avg

4.375e+03

4.260e+03

4.812e+03

3.898e+03

6.097e+03

Wor.

5.637e+03

9.185e+03

8.134e+03

7.945e+03

9.251e+03

Std

4.911e+02

1.845e+03

2.395e+03

2.238e+03

2.196e+03

50

Best

1.136e+04

7.980e+03

8.430e+03

7.478e+03

1.067e+04

Avg

1.615e+04

9.473e+03

1.088e+04

9.876e+03

1.319e+04

Wor.

1.752e+04

1.643e+04

1.263e+04

1.190e+04

1.573e+04

Std

1.547e+03

1.534e+03

1.023e+03

1.099e+03

1.300e+03

F23

10

Best

2.476e+03

2.606e+03

2.611e+03

2.603e+03

2.613e+03

Avg

2.630e+03

2.619e+03

2.634e+03

2.618e+03

2.621e+03

Wor.

2.655e+03

2.644e+03

2.667e+03

2.658e+03

2.634e+03

Std

3.155e+01

1.126e+01

1.323e+01

1.077e+01

4.879e+00

30

Best

2.897e+03

2.635e+03

2.796e+03

2.702e+03

2.786e+03

Avg

2.939e+03

2.760e+03

2.967e+03

2.767e+03

2.820e+03

Wor.

2.971e+03

2.874e+03

3.136e+03

2.970e+03

2.864e+03

Std

2.024e+01

4.233e+01

7.783e+01

6.035e+01

1.680e+01

50

Best

3.320e+03

2.897e+03

3.181e+03

2.851e+03

3.030e+03

Avg

3.396e+03

3.002e+03

3.484e+03

3.027e+03

3.114e+03

Wor.

3.457e+03

3.272e+03

3.945e+03

3.424e+03

3.193e+03

Std

3.771e+01

7.966e+01

1.634e+02

1.175e+02

3.743e+01

F24

10

Best

2.569e+03

2.502e+03

2.430e+03

2.500e+03

2.713e+03

Avg

2.643e+03

2.730e+03

2.670e+03

2.720e+03

2.749e+03

Wor.

2.782e+03

2.767e+03

2.834e+03

2.766e+03

2.759e+03

Std

6.087e+01

6.240e+01

1.384e+02

7.530e+01

8.854e+00

30

Best

3.064e+03

2.884e+03

2.996e+03

2.865e+03

2.964e+03

Avg

3.091e+03

2.942e+03

3.187e+03

2.939e+03

2.999e+03

Wor.

3.140e+03

3.060e+03

3.386e+03

3.193e+03

3.029e+03

Std

1.726e+01

5.043e+01

9.283e+01

7.488e+01

1.701e+01

50

Best

3.407e+03

3.067e+03

3.496e+03

3.009e+03

3.252e+03

Avg

3.508e+03

3.197e+03

3.853e+03

3.204e+03

3.290e+03

Wor.

4.886e+03

3.439e+03

4.397e+03

4.107e+03

3.330e+03

Std

2.618e+02

1.222e+02

2.081e+02

2.157e+02

2.187e+01

F25

10

Best

2.909e+03

2.898e+03

2.900e+03

2.898e+03

2.898e+03

Avg

2.929e+03

2.939e+03

2.926e+03

2.934e+03

2.925e+03

Wor.

2.954e+03

2.985e+03

2.960e+03

2.965e+03

2.947e+03

Std

1.564e+01

1.864e+01

2.471e+01

2.333e+01

2.133e+01

30

Best

3.131e+03

2.919e+03

2.943e+03

2.884e+03

2.900e+03

Avg

3.607e+03

2.975e+03

2.991e+03

2.908e+03

2.928e+03

Wor.

4.713e+03

3.113e+03

3.049e+03

2.940e+03

2.971e+03

Std

2.696e+02

3.915e+01

2.619e+01

2.106e+01

1.588e+01

50

Best

5.642e+03

3.275e+03

3.207e+03

3.056e+03

3.122e+03

Avg

1.043e+04

3.550e+03

3.484e+03

3.103e+03

3.260e+03

Wor.

1.876e+04

4.001e+03

3.860e+03

3.127e+03

3.500e+03

Std

3.641e+03

1.816e+02

1.597e+02

1.689e+01

8.272e+01

F26

10

Best

2.940e+03

2.900e+03

2.600e+03

2.600e+03

2.909e+03

Avg

2.994e+03

3.071e+03

3.075e+03

3.130e+03

2.993e+03

Wor.

3.030e+03

3.910e+03

3.956e+03

3.955e+03

3.872e+03

Std

1.961e+01

3.372e+02

3.063e+01

3.145e+02

2.374e+01

30

Best

4.557e+03

3.427e+03

2.811e+03

2.800e+03

4.704e+03

Avg

6.664e+03

4.571e+03

7.254e+03

6.444e+03

5.078e+03

Wor.

7.484e+03

5.730e+03

9.215e+03

8.214e+03

5.506e+03

Std

5.811e+02

4.120e+02

1.389e+03

1.359e+03

2.127e+02

50

Best

9.244e+03

5.699e+03

5.585e+03

5.571e+03

6.989e+03

Avg

1.038e+04

6.543e+03

1.165e+04

1.004e+04

7.556e+03

Wor.

1.103e+04

8.373e+03

1.330e+04

1.358e+04

8.339e+03

Std

3.506e+02

5.570e+02

1.454e+03

1.980e+03

3.174e+02

F27

10

Best

3.092e+03

3.089e+03

3.089e+03

3.092e+03

3.089e+03

Avg

3.099e+03

3.099e+03

3.116e+03

3.122e+03

3.092e+03

Wor.

3.145e+03

3.172e+03

3.205e+03

3.196e+03

3.094e+03

Std

1.540e+01

1.576e+02

2.774e+01

2.858e+01

8.662e−01

30

Best

3.206e+03

3.215e+03

3.290e+03

3.235e+03

3.213e+03

Avg

3.232e+03

3.246e+03

3.434e+03

3.291e+03

3.224e+03

Wor.

3.288e+03

3.283e+03

3.687e+03

3.573e+03

3.241e+03

Std

1.532e+01

1.948e+01

1.129e+02

6.414e+01

7.235e+00

50

Best

3.385e+03

3.335e+03

3.638e+03

3.588e+03

3.320e+03

Avg

3.517e+03

3.562e+03

4.172e+03

3.814e+03

3.394e+03

Wor.

3.823e+03

3.782e+03

4.906e+03

4.756e+03

3.516e+03

Std

9.916e+01

9.149e+01

3.054e+02

2.464e+02

4.532e+01

F28

10

Best

3.186e+03

3.168e+03

3.167e+03

3.100e+03

3.119e+03

Avg

3.215e+03

3.355e+03

3.318e+03

3.270e+03

3.342e+03

Wor.

3.412e+03

3.459e+03

3.545e+03

3.446e+03

3.411e+03

Std

5.074e+01

9.015e+01

1.184e+02

1.457e+02

1.083e+02

30

Best

3.464e+03

3.297e+03

3.285e+03

3.204e+03

3.242e+03

Avg

3.609e+03

3.425e+03

3.343e+03

3.244e+03

3.303e+03

Wor.

3.752e+03

3.623e+03

3.480e+03

3.276e+03

3.472e+03

Std

7.844e+01

8.480e+01

3.843e+01

2.205e+01

5.144e+01

50

Best

4.215e+03

3.677e+03

3.818e+03

3.299e+03

3.408e+03

Avg

5.940e+03

4.234e+03

4.324e+03

3.361e+03

3.578e+03

Wor.

8.704e+03

4.873e+03

4.955e+03

3.449e+03

3.926e+03

Std

1.351e+03

3.266e+02

2.928e+02

3.603e+01

1.368e+02

F29

10

Best

3.156e+03

3.141e+03

3.158e+03

3.155e+03

3.140e+03

Avg

3.214e+03

3.355e+03

3.241e+03

3.310e+03

3.160e+03

Wor.

3.310e+03

3.281e+03

3.360e+03

3.637e+03

3.182e+03

Std

3.954e+01

3.439e+01

6.162e+01

1.233e+02

1.141e+01

30

Best

3.764e+03

3.526e+03

3.884e+03

3.656e+03

3.497e+03

Avg

4.413e+03

3.739e+03

4.731e+03

4.246e+03

3.684e+03

Wor.

4.893e+03

4.087e+03

5.600e+03

5.015e+03

3.863e+03

Std

2.845e+02

1.323e+02

4.676e+02

3.461e+02

9.135e+01

50

Best

6.004e+03

3.959e+03

5.706e+03

3.923e+03

3.899e+03

Avg

6.591e+03

4.533e+03

7.868e+03

4.884e+03

4.390e+03

Wor.

7.290e+03

5.731e+03

1.053e+04

6.043e+03

4.986e+03

Std

3.340e+02

3.830e+02

1.111e+03

4.964e+02

2.612e+02

F30

10

Best

2.014e+04

8.452e+03

8.044e+03

1.145e+04

5.191e+03

Avg

2.370e+05

6.390e+05

7.005e+05

8.055e+05

3.350e+05

Wor.

1.252e+06

1.773e+06

2.107e+06

2.889e+06

8.288e+05

Std

2.602e+05

6.892e+05

5.506e+05

9.570e+05

4.053e+05

30

Best

1.863e+05

8.411e+05

1.826e+06

8.854e+03

4.023e+05

Avg

5.886e+06

6.391e+06

1.258e+07

2.288e+04

2.409e+06

Wor.

1.856e+07

1.870e+07

1.433e+08

9.643e+04

5.497e+06

Std

5.566e+06

4.474e+06

2.561e+07

1.683e+04

1.443e+06

50

Best

1.907e+07

7.444e+07

7.082e+07

7.124e+05

3.153e+07

Avg

2.474e+08

1.286e+08

1.815e+08

1.203e+06

5.625e+07

Wor.

6.346e+08

2.599e+08

2.872e+08

2.444e+06

1.205e+08

Std

1.526e+08

5.215e+07

6.476e+07

2.959e+05

1.899e+07

Rank

10

w/t/l

4/0/83

3/3/81

10/3/77

8/5/74

56/3/28

30

w/t/l

1/0/86

10/0/77

5/0/82

31/0/56

40/0/47

50

w/t/l

0/0/87

9/0/78

5/0/82

37/0/50

36/0/51

  1. F represents functions. D is for dimension of the problem. EI denotes evaluation indicator including the best, average, worst, and standard deviation of fitness.