Mathematical Problems in Engineering / 2014 / Article / Tab 13

Research Article

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

Table 13

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

value3.0317e − 0026.5671e − 0026.7350e − 001
-value100
-value−2.16592−1.84066−0.421356

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

value3.0199e − 0111.2057e − 0101.8916e − 004
-value111
-value−6.6456−6.43862−3.73307

value7.3131e − 0033.0749e − 0023.0494e − 002
-value−11−1
-value2.68224−2.160312.16361

value2.2256e − 0045.4038e − 0042.7547e − 011
-value1−1−1
-value−3.691933.45996.65912

value3.0142e − 0113.0123e − 0113.0142e − 011
-value111
-value−6.64588−6.64597−6.64588

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

value3.0199e − 0114.0772e − 0113.0199e − 011
-value111
-value−6.6456−6.60125−6.6456

value2.3399e − 0015.8737e − 0049.2344e − 001
-value0−10
-value1.190153.437380.0960988

value3.3384e − 0111.3289e − 0108.9934e − 011
-value111
-value−6.63081−6.42383−6.48297

1 (better)987
0 (same)112
−1 (worse)122