Mathematical Problems in Engineering / 2014 / Article / Tab 3

Research Article

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

Table 3

Minimization results for the rotated and shifted unimodal and multimodal functions (maximum iteration = 5000 and ).

FunctionFGLT-PSOPSOLPSOQIPSO

Avg. best solution 7.056e − 2084.585e − 0592.358e − 0211.127e − 058
SD0.000e + 0008.736e − 0597.425e − 0215.346e − 058
Median best solution1.930e − 2097.785e − 0603.417e − 0221.023e − 060
Avg. iteration for finding the best solution4741499949974999

Avg. best solution −6.602e + 001−6.645e + 001−6.616e + 001−6.613e + 001
SD1.736e + 0001.175e + 0009.989e − 0011.720e + 000
Median best solution−6.606e + 001−6.614e + 001−6.607e + 001−6.588e + 001
Avg. iteration for finding the best solution3408293030993185

Avg. best solution 1.604e + 0012.352e + 0012.319e + 0012.278e + 001
SD2.974e + 0003.762e + 0004.012e + 0004.387e + 000
Median best solution1.589e + 0012.358e + 0012.351e + 0012.240e + 001
Avg. iteration for finding the best solution2394365637863660

Avg. best solution 0.000e + 0001.351e + 0007.438e − 0087.957e − 001
SD0.000e + 0003.079e + 0004.072e − 0072.428e + 000
Median best solution0.000e + 0000.000e + 0000.000e + 0000.000e + 000
Avg. iteration for finding the best solution448319248773446

Avg. best solution 1.165e − 0011.032e − 0019.987e − 0021.132e − 001
SD3.790e − 0021.826e − 0020.000e + 0003.457e − 002
Median best solution9.987e − 0029.987e − 0029.987e − 0029.987e − 002
Avg. iteration for finding the best solution1998291632682795

Avg. best solution −4.500e + 002−4.396e + 002−4.480e + 002−4.406e + 002
SD8.039e − 0147.334e + 0002.470e + 0007.991e + 000
Median best solution−4.500e + 002−4.450e + 002−4.500e + 002−4.450e + 002
Avg. iteration for finding the best solution132475735611213

Avg. best solution −1.798e + 002−1.745e + 002−1.793e + 002−1.766e + 002
SD3.789e − 0018.186e + 0005.222e − 0013.309e + 000
Median best solution−1.800e + 002−1.780e + 002−1.789e + 002−1.780e + 002
Avg. iteration for finding the best solution2922259233982711

Avg. best solution 3.915e + 0029.048e + 0066.752e + 0046.596e + 006
SD6.315e + 0001.678e + 0073.676e + 0051.638e + 007
Median best solution3.900e + 0022.014e + 0063.933e + 0024.867e + 002
Avg. iteration for finding the best solution4831398348844090

Avg. best solution −3.287e + 002−3.215e + 002−3.247e + 002−3.233e + 002
SD1.113e + 0005.979e + 0003.144e + 0004.822e + 000
Median best solution−3.290e + 002−3.225e + 002−3.250e + 002−3.225e + 002
Avg. iteration for finding the best solution4809319345093331

Avg. best solution −119.744−119.745−119.804−119.746
SD5.750e − 0027.142e − 0025.558e − 0026.911e − 002
Median best solution−119.731−119.748−119.804−119.73
Avg. iteration for finding the best solution1849224020722414

Avg. best solution −3.196e + 002−3.091e + 002−3.137e + 002−3.078e + 002
SD4.236e + 0007.174e + 0005.338e + 0007.995e + 000
Median best solution−3.196e + 002−3.102e + 002−3.130e + 002−3.079e + 002
Avg. iteration for finding the best solution3252331547213479

Avg. rank1.83.22.12.9
Final rank1423
AlgorithmsFGLT-PSOPSOLPSOQIPSO