Research Article
Probabilistic Analysis of Search Performance of Differential Evolution Algorithm in Low-Dimensional Case
Table 4
Situations of crossover operation after mutation into different areas.
| | The condition after crossover operation of variation vectors falling into different regions |
| | CR | The probability of jumping out of a local area after a crossover operation | The probability of falling into a locally better region after crossover operation | | The vector of variation is locally superior | The vector of variation is in a locally nonsuperior region | The vector of variation is out of place | The vector of variation is locally superior | The vector of variation is in a locally nonsuperior region | The vector of variation is out of place | | 0 | 0.00% | 10.39% | 63.57% | 56.32% | 20.25% | 8.59% | | 0.1 | 0.00% | 9.35% | 67.21% | 60.69% | 18.22% | 7.73% | | 0.2 | 0.00% | 8.31% | 70.85% | 65.06% | 16.20% | 6.87% | | 0.3 | 0.00% | 7.27% | 74.50% | 69.42% | 14.17% | 6.01% | | 0.4 | 0.00% | 6.23% | 78.14% | 73.79% | 12.15% | 5.15% | | 0.5 | 0.00% | 5.20% | 81.78% | 78.16% | 10.12% | 4.29% | | 0.6 | 0.00% | 4.16% | 85.43% | 82.53% | 8.10% | 3.43% | | 0.7 | 0.00% | 3.12% | 89.07% | 86.90% | 6.07% | 2.58% | | 0.8 | 0.00% | 2.08% | 92.71% | 91.26% | 4.05% | 1.72% | | 0.9 | 0.00% | 1.04% | 96.36% | 95.63% | 2.02% | 0.86% | | 1.0 | 0.00% | 0.00% | 100.00% | 100.00% | 0.00% | 0.00% |
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