Research Article
A Synchronous-Asynchronous Particle Swarm Optimisation Algorithm
Table 4
Friedman test on the results of the experiments.
| ā | ā | S-PSO | A-PSO | SA-PSO |
| Quadric | Mean | 305.4320 | 131.4246 | 0.0537 | Friedman rank | 3 | 2 | 1 |
| Quartic | Mean | 1.9524 | 3.0793 | 0.0000 | Friedman rank | 2 | 3 | 1 |
| Rosenbrock | Mean | 58.7646 | 71.5899 | 37.9161 | Friedman rank | 2 | 3 | 1 |
| Spherical | Mean | 0.0963 | 0.1628 | 0.0000 | Friedman rank | 2 | 3 | 1 |
| Hyperellipsoid | Mean | 0.4151 | 2.5037 | 0.0000 | Friedman rank | 2 | 3 | 1 |
| Ackley | Mean | 0.0941 | 0.0898 | 0.0000 | Friedman rank | 3 | 2 | 1 |
| Griewank | Mean | 317.8628 | 371.7447 | 0.0071 | Friedman rank | 2 | 3 | 1 |
| Rastrigin | Mean | 38.6035 | 42.2694 | 36.1207 | Friedman rank | 2 | 3 | 1 |
| Salomon | Mean | 0.3227 | 0.3211 | 0.3263 | Friedman rank | 2 | 1 | 3 |
| FM sound wave | Mean | 5.7751 | 5.4484 | 5.7402 | Friedman rank | 3 | 1 | 2 |
| Average Friedman rank | 2.3 | 2.4 | 1.3 |
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