Table 2 Results of the experiments. For each algorithm, quantiles Q25, Q50, Q75 and Q90 for the number of trials for simple test classes are presented.
N | Q | Metaheuristic algorithms (10,000 runs for each algorithm and class) | Deterministic algorithms (100 runs for each algorithm and class) | ||||||
|---|---|---|---|---|---|---|---|---|---|
Differential Evolution | Particle Swarm Optimization | Genetic Algorithm | Artificial Bee Colony | Firefly Algorithm | DIRECT | DIRECT-L | ADC | ||
2 | 25 | 0.07% | 0.04% | 0.13% | 0.03% | 0.05% | 0.01% | 0.01% | 0.01% |
50 | 0.14% | 0.08% | 3.28% | 0.05% | 0.08% | 0.01% | 0.02% | 0.02% | |
75 | 0.26% | 0.21% | 99.53% | 0.12% | 0.14% | 0.02% | 0.04% | 0.02% | |
90 | 0.60% | 95.74% | 100.00% | 0.69% | 0.22% | 0.04% | 0.07% | 0.02% | |
3 | 25 | 0.22% | 0.29% | 1.35% | 0.09% | 0.43% | 0.02% | 0.03% | 0.05% |
50 | 0.44% | 0.92% | 4.83% | 0.16% | 0.84% | 0.04% | 0.06% | 0.06% | |
75 | 1.99% | 3.60% | 26.64% | 1.06% | 1.66% | 0.15% | 0.19% | 0.10% | |
90 | 35.70% | 97.61% | 99.83% | 2.94% | 2.91% | 0.30% | 0.57% | 0.12% | |
4 | 25 | 0.17% | 0.25% | 0.24% | 0.12% | 0.32% | 0.13% | 0.23% | 0.28% |
50 | 2.49% | 1.04% | 0.83% | 1.34% | 0.83% | 0.50% | 0.73% | 0.41% | |
75 | 89.48% | 97.25% | 3.78% | 6.03% | 2.69% | 1.12% | 3.07% | 0.73% | |
90 | 100.00% | 100.00% | 96.73% | 15.89% | 6.18% | 2.21% | 5.57% | 0.89% | |
5 | 25 | 0.17% | 0.27% | 0.46% | 0.12% | 0.33% | 0.06% | 0.32% | 0.21% |
50 | 0.29% | 0.87% | 1.56% | 0.34% | 0.62% | 0.16% | 0.93% | 0.39% | |
75 | 97.05% | 4.04% | 9.24% | 3.73% | 2.86% | 0.64% | 1.90% | 0.64% | |
90 | 100.00% | 99.78% | 100.00% | 10.89% | 14.11% | 1.54% | 3.54% | 1.02% | |