Mathematical Problems in Engineering / 2014 / Article / Tab 5

Research Article

Fusion Global-Local-Topology Particle Swarm Optimization for Global Optimization Problems

Table 5

Comparison of FGLT-PSO with PSO, LPSO, and QIPSO for the rotated and shifted unimodal and multimodal functions using Wilcoxon’s rank sum test ( ).

FunctionWilcoxon’s rank sum testPSOLPSOQIPSO

value3.0199e − 0113.0199e − 0113.0199e − 011
-value111
-value−6.6456−6.6456−6.6456

value4.1191e − 0017.3940e − 0018.4180e − 001
-value000
-value0.8205360.332650.19959

value1.8567e − 0091.8500e − 0085.5329e − 008
-value111
-value−6.00987−5.62547−5.43328

value2.1577e − 0022.1577e − 0028.1523e − 002
-value110
-value−2.29773−2.29773−1.74192

value1.1439e − 0011.4425e − 0047.7181e − 001
-value0−10
-value1.578783.800760.290007

value1.5553e − 0111.2883e − 0111.7966e − 008
-value111
-value−6.74264−6.76995−5.63053

value1.2755e − 0101.9667e − 0035.5338e − 010
-value111
-value−6.43006−3.09521−6.20317

value7.3270e − 0113.6443e − 0085.0030e − 010
-value111
-value−6.51381−5.50727−6.21901

value5.7512e − 0063.5043e − 0074.0269e − 005
-value111
-value−4.53533−5.09408−4.10593

value9.2344e − 0012.3885e − 0048.6499e − 001
-value0−10
-value0.09609883.673930.170021

value5.2991e − 0089.2051e − 0054.6756e − 008
-value111
-value−5.44097−3.91064−5.46322

1 (better)887
0 (same)314
−1 (worse)020