Table 4 Computational time of six PSO algorithms
From: Particle swarm optimization using multi-information characteristics of all personal-best information
Function | PSO-cf | FIPS | DMS-PSO | CLPSO | LPSO | PSO-API | |
|---|---|---|---|---|---|---|---|
\(\, f_{1} (x)\) | AV(CPU)/Rank | 6.09e−001/1 | 4.19e+000/6 | 4.04e+000/5 | 3.60e+000/4 | 7.59e−001/2 | 1.28e+000/3 |
\(\, f_{2} (x)\) | AV(CPU)/Rank | 1.76e+000/3 | 4.10e+000/5 | 4.85e+000/6 | 3.55e+000/4 | 9.99e−001/1 | 1.51e+000/2 |
\(\, f_{3} (x)\) | AV(CPU)/Rank | 1.01e+001/2 | 1.16e+001/3 | 1.28e+001/4 | 9.95e+000/1 | 1.44e+001/5 | 1.61e+001/6 |
\(\, f_{4} (x)\) | AV(CPU)/Rank | 3.06e+000/3 | 4.19e+000/5 | 5.50e+000/6 | 3.67e+000/4 | 1.13e+000/1 | 1.66e+000/2 |
\(\, f_{5} (x)\) | AV(CPU)/Rank | 3.31e+000/3 | 4.12e+000/6 | 4.11e+000/5 | 3.78e+000/4 | 8.22e−001/1 | 1.27e+000/2 |
\(\, f_{6} (x)\) | AV(CPU)/Rank | 5.78e+000/1 | 7.04e+000/4 | 8.51e+000/6 | 6.79e+000/3 | 6.51e+000/2 | 7.35e+000/5 |
\(\, f_{7} (x)\) | AV(CPU)/Rank | 3.17e+000/3 | 4.49e+000/5 | 4.56e+000/6 | 3.98e+000/4 | 1.03e+000/1 | 1.46e+000/2 |
\(\, f_{8} (x)\) | AV(CPU)/Rank | 5.05e+000/2 | 6.59e+000/5 | 6.96e+000/6 | 5.89e+000/4 | 4.72e+000/1 | 5.31e+000/3 |
\(\, f_{9} (x)\) | AV(CPU)/Rank | 4.83e+000/3 | 6.31e+000/5 | 7.23e+000/6 | 5.66e+000/4 | 3.18e+000/1 | 3.89e+000/2 |
\(\, f_{10} (x)\) | AV(CPU)/Rank | 4.21e+000/1 | 6.53e+000/5 | 6.83e+000/6 | 6.16e+000/4 | 4.74e+000/2 | 5.20e+000/3 |
\(\, f_{11} (x)\) | AV(CPU)/Rank | 5.09e+001/2 | 5.17e+001/3 | 6.52e+001/4 | 4.78e+001/1 | 9.52e+001/5 | 9.80e+001/6 |
\(\, f_{12} (x)\) | AV(CPU)/Rank | 6.19e+000/1 | 1.22e+001/3 | 1.25e+001/4 | 1.12e+001/2 | 1.80e+001/6 | 1.75e+001/5 |
\(\, f_{13} (x)\) | AV(CPU)/Rank | 4.52e−002/1 | 3.98e+000/6 | 3.91e+000/5 | 3.51e+000/4 | 1.07e+000/2 | 1.46e+000/3 |
\(\, f_{14} (x)\) | AV(CPU)/Rank | 3.66e+000/3 | 4.78e+000/5 | 4.97e+000/6 | 4.24e+000/4 | 2.51e+000/1 | 2.94e+000/2 |
\(\, f_{15} (x)\) | AV(CPU)/Rank | 3.81e+000/3 | 4.90e+000/5 | 5.00e+000/6 | 4.47e+000/4 | 2.72e+000/1 | 3.15e+000/2 |
\(\, f_{16} (x)\) | AV(CPU)/Rank | 4.49e+000/2 | 5.57e+000/5 | 6.62e+000/6 | 5.10e+000/4 | 4.14e+000/1 | 4.51e+000/3 |
\(\, f_{17} (x)\) | AV(CPU)/Rank | 4.80e+000/3 | 5.90e+000/5 | 1.02e+001/6 | 4.67e+000/1 | 4.79e+000/2 | 5.35e+000/4 |
\(\, f_{18} (x)\) | AV(CPU)/Rank | 3.12e−003/1 | 4.60e+000/5 | 5.70e+000/6 | 3.67e+000/4 | 2.19e+000/2 | 2.58e+000/3 |
\(\, f_{19} (x)\) | AV(CPU)/Rank | 1.56e−003/1 | 5.84e+000/5 | 6.25e+000/6 | 4.35e+000/3 | 4.13e+000/2 | 4.57e+000/4 |
\(\, f_{20} (x)\) | AV(CPU)/Rank | 2.65e+001/2 | 2.76e+001/3 | 3.25e+001/4 | 2.00e+001/1 | 4.99e+001/6 | 4.95e+001/5 |
| Â | AR | 2.05 | 4.7 | 5.45 | 3.2 | 2.25 | 3.35 |
| Â | FR | 1 | 5 | 6 | 3 | 2 | 4 |