An Investigation into the Performance of Particle Swarm Optimization with Various Chaotic Maps
Table 9
Success rate for test function using RIW-PSO.
Chaos maps
Dimension = 30
Dimension = 50
None
0/50
0/50
7/50
0/50
0/50
0/50
0/50
0/50
0/50
0/50
Logistic
50/50
26/50
43/50
46/50
50/50
50/50
29/50
4/50
27/50
50/50
Tent
50/50
29/50*
36/50
47/50*
50/50
50/50
34/50*
2/50
21/50
50/50
Skew Tent
49/50
21/50
41/50
48/50*
50/50
49/50
29/50
2/50
23/50
50/50
Sine
48/50
26/50
40/50
50/50
50/50
33/50*
6/50*
29/50*
50/50
ICMIC
49/50
39/50
47/50*
50/50
50/50
26/50
8/50*
30/50*
50/50
Circle
48/50
26/50
37/50
45/50
50/50
49/50
29/50
31/50*
50/50
Piecewise
50/50
25/50
40/50
46/50
50/50
49/50
8/50*
29/50*
50/50
Gaussian
49/50
23/50
39/50
48/50*
50/50
49/50
26/50
5/50*
35/50*
50/50
Intermittency
31/50
26/50
39/50
47/50*
50/50
37/50
25/50
5/50*
50/50
Cubic
50/50
23/50
42/50
44/50
50/50
50/50
31/50*
7/50*
31/50*
50/50
The values in bold are the best results obtained by the algorithms using the corresponding chaotic map incorporated into it compared with others.
*are the better results obtained by the algorithms relative to the corresponding chaotic maps, compared to Logistic map.