Research Article
Cloud Particles Differential Evolution Algorithm: A Novel Optimization Method for Global Numerical Optimization
Table 7
The mean solutions, standard deviation, maximum, and minimum of the 30 trials obtained by various methods for CEC2013 problems.
| | DE | CMAES | JADE | jDE | PSOcf | PSOwFIPS | UPSO | ABC | CPDE |
| | | | | | | | | | | | (≈) | (≈) | (≈) | (≈) | | | (≈) | (≈) | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | (≈) | (≈) | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | (≈) | (≈) | | | (≈) | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | (≈) | (≈) | (≈) | (≈) | (≈) | (≈) | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | | | (≈) | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | (≈) | | | (≈) | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | (≈) | | | (≈) | (≈) | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | (≈) | (≈) | (≈) | (≈) | (≈) | (≈) | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | | (≈) | | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | (≈) | | | | | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | | | | | | | | | | | | | (≈) | | | (≈) | | (≈) | (≈) | | | SD | | | | | | | | | | Max | | | | | | | | | | Min | | | | | | | | | |
| General merit over contender | 10 | 17 | 2 | 8 | 18 | 19 | 10 | 7 | |
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