Research Article

Multiswarm Particle Swarm Optimization with Transfer of the Best Particle

Table 2

Results for 10D problems.

Test functionsMSCPSOW-PSOCPSOCMAESBMPSO
[10][15][16][17]Present

 Best1.628e−0011.205e−0055.260e−0022.430e−002
 Worst3.301e−0003.589e−0021.983e−0006.471e−001
 Mean1.741e−0004.048e−0035.484e−0011.555e−001
 Std.6.880e−0017.038e−0034.282e−0011.461e−001

 Best3.263e+0012.011e−0008.603e−0004.358e+0011.990
 Worst6.669e+0011.696e+0014.498e+0011.212e+0029.950
 Mean5.471e+0017.750e−0002.432e+0018.182e+0014.759
 Std.7.737e−0003.677e−0007.737e−0001.596e+0011.894

 Best6.319e−0021.008e−0062.900e−0034.324e−000
 Worst3.469e−0012.046e−0032.156e−0011.557e+001
 Mean1.945e−0014.139e−0046.938e−0028.689e−000
 Std.7.117e−0024.641e−0045.029e−0022.209e−000

 Best2.331e−0007.700e−0033.759e−0015.834e−000
 Worst4.909e−0005.131e−0013.616e−0001.992e+014
 Mean3.749e−0001.415e−0011.650e−0001.399e+000
 Std.5.918e−0011.053e−0016.698e−0014.010e+013

 Best2.746e−0001.251e−0005.386e+0015.734e+005
 Worst9.176e+0033.357e+0021.877e+0041.267e+007
 Mean1.340e+0036.198e+0013.090e+0034.678e+006
 Std.1.652e+0037.274e+0014.007e+0033.376e+006

 Best7.326e−0005.662e−0001.184e+0011.785e+0010
 Worst6.411e+0011.274e+0011.620e+0024.574e+005
 Mean1.783e+0018.486e−0006.249e+0011.993e+004
 Std.1.319e+0013.946e+0016.735e+0041.704e−000