Table 5 Results obtained by the application of multimodal functions
From: Development of particle swarm clustered optimization method for applications in applied sciences
Dimension | Result type | Result type | Algorithm | ||||
|---|---|---|---|---|---|---|---|
PSCO | PSO | AGPSO | DMOA | INFO | |||
30 | F4 | Best | 1.5 × 10–32 | 1.5 × 10–32 | 1.5 × 10–32 | 2.34 × 10–1 | 8.95 × 10–2 |
Worst | 6.39 × 10–30 | 1.82 | 1.5 × 10–32 | 6.97 × 10–1 | 8.06 × 10–1 | ||
Average | 1.17 × 10–30 | 6.90 × 10–1 | 2.16 × 10–32 | 5.55 × 10–1 | 3.88 × 10–1 | ||
Rank | 2 | 5 | 1 | 5 | 4 | ||
F5 | Best | 0 | 0 | 0 | 1.14 × 10–2 | 0 | |
Worst | 1.09 × 10–14 | 4.66 × 10–2 | 1.72 × 10–2 | 4.25 × 10–2 | 0 | ||
Average | 1.99 × 10–15 | 1.9 × 10–2 | 4.27 × 10–3 | 2.17 × 10–2 | 0 | ||
Rank | 2 | 4 | 3 | 5 | 1 | ||
F6 | Best | 1.35 × 10–32 | 1.35 × 10–32 | 1.35 × 10–32 | 1.71 × 10+1 | 1.35 × 10–32 | |
Worst | 4.69 × 10–31 | 9.89 × 10–2 | 5.99 × 10–31 | 2.43 × 10+1 | 1.76 × 10–1 | ||
Average | 4.83 × 10–32 | 1.32 × 10–2 | 5.94 × 10–32 | 2.13 × 10+1 | 1.54 × 10–2 | ||
Rank | 1 | 4 | 2 | 5 | 3 | ||
F7 | Best | 0 | 0 | 0 | 5.79 × 10–7 | 4.94 × 10–8 | |
Worst | 0 | 1.11 × 10–16 | 4.44 × 10–16 | 2.75 × 10–4 | 1.07 × 10–4 | ||
Average | 0 | 1.11 × 10–17 | 4.86 × 10–17 | 7.52 × 10–5 | 1.56 × 10–5 | ||
Rank | 1 | 2 | 3 | 5 | 4 | ||
F8 | Best | 2 × 10–1 | 2 × 10–1 | 3 × 10–1 | 6 × 10–1 | 1.49 × 10–29 | |
Worst | 4 × 10–1 | 5 × 10–1 | 5 × 10–1 | 8.95 × 10–1 | 2.88 × 10–29 | ||
Average | 3.33 × 10–1 | 3.93 × 10–1 | 3.39 × 10–1 | 7.38 × 10–1 | 2.15 × 10–29 | ||
Rank | 2 | 3 | 3 | 4 | 1 | ||
50 | F4 | Best | 1.5 × 10–32 | 4.28 × 10–18 | 6.81 × 10–15 | 1.05 × 10+2 | 6.27 × 10–1 |
Worst | 5.94 × 10–29 | 5.91 | 1.25 × 10–6 | 1.44 × 10+2 | 1.79 | ||
Average | 8.57 × 10–30 | 2.73 | 1.13 × 10–7 | 1.25 × 10+2 | 1.02 | ||
Rank | 1 | 4 | 2 | 5 | 3 | ||
F5 | Best | 0 | 2.22 × 10–16 | 0 | 8.62 | 0 | |
Worst | 2.46 × 10–2 | 4.41 × 10–2 | 9.45 × 10–2 | 1.35 × 10+1 | 0 | ||
Average | 4.92 × 10–3 | 1.54 × 10–2 | 1.43 × 10–2 | 1.1 × 10+1 | 0 | ||
Rank | 2 | 4 | 3 | 5 | 1 | ||
F6 | Best | 1.97 × 10–32 | 2.35 × 10–16 | 4.03 × 10–13 | 1.51 × 10+8 | 9.85 × 10–32 | |
Worst | 2.10 × 10–2 | 2.13 | 1.1 × 10–2 | 2.85 × 10+8 | 1.08 × 10–1 | ||
Average | 2.87 × 10–3 | 2.33 | 7.34 × 10–7 | 2.21 × 10+8 | 1.67 × 10–2 | ||
Rank | 2 | 4 | 1 | 5 | 3 | ||
F7 | Best | 0 | 0 | 0 | 9.46 × 10–6 | 4.24 × 10–8 | |
Worst | 0 | 1.11 × 10–16 | 0 | 4.93 × 10–4 | 2.6 × 10–4 | ||
Average | 0 | 7.86 × 10–18 | 0 | 1.37 × 10–4 | 4.4 × 10–5 | ||
Rank | 1 | 2 | 1 | 4 | 3 | ||
F8 | Best | 5 × 10–1 | 6 × 10–1 | 5 × 10–1 | 6.06 | 1.23 × 10–29 | |
Worst | 9 × 10–1 | 1.20 | 8 × 10–1 | 7.32 | 5.3 × 10–29 | ||
Average | 6.33 × 10–1 | 9.07 × 10–1 | 7.13 × 10–1 | 6.79 | 3.26 × 10–29 | ||
Rank | 2 | 4 | 3 | 5 | 1 | ||
Final score | 16 | 36 | 22 | 48 | 24 | ||
Final rank | 1 | 4 | 2 | 5 | 3 | ||