Mathematical Problems in Engineering / 2014 / Article / Tab 8

Research Article

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

Table 8

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

FunctionWilcoxon’s rank sum testPSOLPSOQIPSO

value1.2118e − 0121.2118e − 0121.2118e − 012
-value111
-value−7.10402−7.10402−7.10402

value2.8991e − 0113.0199e − 0112.9822e − 011
-value111
-value−6.65161−6.6456−6.64745

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

value1.2057e − 0102.2539e − 0041.9568e − 010
-value−11−1
-value6.43862−3.688716.3647

value1.2018e − 0081.2472e − 0045.0922e − 008
-value111
-value−5.69948−3.83667−5.44806

value1.2018e − 0081.2472e − 0045.0922e − 008
-value111
-value−5.69948−3.83667−5.44806

value4.2942e − 0023.7277e − 0012.8314e − 003
-value−10−1
-value2.02428−0.8912892.98547

value1.7374e − 0012.4305e − 0026.6167e − 004
-value01−1
-value−1.36028−2.252283.40499

value1.9990e − 0062.7726e − 0057.2926e − 004
-value111
-value−4.75352−4.19138−3.37834

1 (better)686
0 (same)110
−1 (worse)203