Fig 1.
Flowchart of the R-ABC algorithm.
Fig 2.
An example of the reinforcement vector update.
Fig 3.
An example of changing 10D reinforcement.
Fig 4.
Possible update ranges of food sources.
Table 1.
Numerical benchmark functions.
Table 2.
CEC2005’s shifted functions.
Table 3.
CEC2014’s hybrid functions.
Table 4.
Values of control parameters.
Table 5.
Values of adaptivity coefficients and crossover rates used in aABC algorithm.
Table 6.
Results for basic benchmark functions (MFE = 30000).
Table 7.
Rankings of the algorithms by the Friedman’s test on the basic benchmark functions.
Table 8.
Results for basic benchmark functions (MCN = 10000).
Fig 5.
Convergence performance on the Sphere function with different dimensions.
Fig 6.
Convergence performance on the Sum Squares function with different dimensions.
Fig 7.
Convergence performance on the Dixon-Price function with different dimensions.
Fig 8.
Convergence performance on the Rosenbrock function with different dimensions.
Fig 9.
Convergence performance on the Rastrigin function with different dimensions.
Fig 10.
Convergence performance on the Schwefel function with different dimensions.
Fig 11.
Convergence performance on the Ackley function with different dimensions.
Fig 12.
Convergence performance on the Griewank function with different dimensions.
Fig 13.
The final results of the CEC2005’s shifted functions for all tested dimensions.
Fig 14.
Rankings of the algorithms by the Friedman’s test on the CEC2005’s shifted functions.
Table 9.
Results for CEC2005’s shifted functions (MFE = 30000).
Table 10.
The result of Wilcoxon’s test of the algorithm on the CEC2005’s shifted functions.
Fig 15.
Convergence performance on the CEC2014’s hybrid functions with D = 100.
Table 11.
Results for CEC2014’s hybrid functions (MFE = 30000).
Table 12.
The result of Wilcoxon’s test of the algorithm on the CEC2014’s hybrid functions.
Fig 16.
The final results of the CEC2005’s shifted functions with different values of γ and κ.
Table 13.
Rankings by the Friedman’s test on the CEC2005’s shifted functions with different κ.