Mathematical Problems in Engineering / 2014 / Article / Tab 9

Research Article

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

Table 9

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

value3.2922e − 0101.4041e − 0103.1451e − 009
-value111
-value−6.28435−6.41545−5.92384

value1.0233e − 0013.0418e − 0014.4642e − 001
-value000
-value1.63368−1.027520.761398

value1.0937e − 0101.4643e − 0103.0199e − 011
-value111
-value−6.4534−6.40905−6.6456

value1.4288e − 0081.3281e − 0101.1736e − 003
-value111
-value−5.66991−6.42392−3.24523

value1.3470e − 0036.7707e − 0033.5527e − 003
-value−1−1−1
-value3.205782.707922.91537

value2.8840e − 0104.7657e − 0052.8252e − 011
-value11−1
-value−6.30489−4.066836.65541

value2.9543e − 0115.3712e − 0112.9543e − 011
-value111
-value−6.64883−6.56027−6.64883

value3.0199e − 113.0199e − 113.0199e − 11
-value111
-value−6.6456−6.6456−6.6456

value1.0937e − 0101.2870e − 0091.4643e − 010
-value111
-value−6.4534−6.06901−6.40905

value8.7663e − 0014.0595e − 0027.7312e − 001
-value010
-value0.1552362.047640.288296

value3.0199e − 0117.3891e − 0114.9752e − 011
-value111
-value−6.6456−6.51254−6.57168

1 (better)897
0 (same)212
−1 (worse)112