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Table 1.

Results of modified Six Hump Camel problem. Average over 50 optimizations (in parenthesis the Relative Standard Deviation (RSD) – ).

Results Modified CMA-ES(λ, μ) Death penalty CMA-ES(λ, μ) Penalization CMA-ES(λ, μ) Modified (1+1)-CMA-ES
Objective function (global optimum1) −1.875 (0.80%) −1.875 (0.89%) −1.874 (0.88%) −1.865 (0.88%)
Objective function (local optimum2) −0.347 (0.75%) −0.347 (0.84%) −0.347 (0.79%) −0.348 (0.85%)
Constraint functions −4.72 × 10−4 (96%) −2.57 × 10−4 (75%) −6.43 × 10−4 (68%) −4.86 × 10−4 (127%)
Number of objective function + constraint evaluations 1211 (13%) 1395 (12%) 1618 (12%) 781 (16%)
Percentage of convergence to the global minimum 37% 22% 33% 48%
Percentage of convergence to the local minimum 63% 78% 67% 52%
1

Statistics based on the optimizations that converged to the global optimum.

2

Statistics based on the optimizations that converged to the local optimum.

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