Improved Differential Evolution with Shrinking Space Technique for Constrained Optimization

FU, Chunming; XU, Yadong; JIANG, Chao; HAN, Xu; HUANG, Zhiliang

doi:10.1007/s10033-017-0130-4

Chinese Journal of Mechanical Engineering

Table 2 Results obtained by ATMDE for 18 benchmark test function over 30 independent runs

From: Improved Differential Evolution with Shrinking Space Technique for Constrained Optimization

Function	Optimal solution f ^*	Best solution f _best	Median solution f _median	Mean solution μ _f	Worst solution f _worst	Standard deviation σ _f
g01	−15.000	−15.000	−15.000	−15.000	−15.000	0
g02	−0.803 619	−0.803 617	−0.803 617	−0.803 617	−0.803 610	1.238 9 × 10⁻⁶
g03	−1.000 50	−1.005 00	−1.005 00	−1.005 00	−1.005 00	2.081 6 × 10⁻⁹
g04	−30 665.538 6	−30 665.538 6	−30 665.538 6	−30 665.538 6	−30 665.538 6	1.110 × 10⁻¹¹
g05	5126.496 71	5126.496 71	5126.496 71	5126.496 71	5126.496 71	1.013 3 × 10⁻¹²
g06	−6961.813 87	−6961.813 87	−6961.813 87	−6961.813 87	−6961.813 87	1.850 × 10⁻¹²
g07	24.306 209	24.306 209	24.306 209	24.306 209	24.306 209	2.211 4 × 10⁻⁸
g08	−0.095 825	−0.095 825	−0.095 825	−0.095 825	−0.095 825	2.564 1 × 10⁻¹⁷
g09	680.630 05	680.630 05	680.630 05	680.630 05	680.630 05	4.634 8 × 10⁻¹³
g10	7049.248 02	7049.248 02	7049.248 02	7049.248 02	7049.24802	8.700 × 10⁻⁷
g11	0.749 90	0.749 90	0.749 90	0.749 90	0.749 90	1.011 2 × 10⁻⁷
g12	−1.000 00	−1.000 00	−1.000 00	−1.000 00	−1.000 00	0
g14	−47.764 888	−47.764 888	−47.764 888	−47.764 888	−47.764 888	1.953 9 × 10⁻¹⁰
g15	961.715 022	961.715 022	961.715 022	961.715 022	961.715 022	6.937 8 × 10⁻¹³
g16	−1.905 155	−1.905 155	−1.905 155	−1.905 155	−1.905 155	6.775 2 × 10⁻¹⁶
g18	−0.866 025	−0.866 025	−0.866 025	−0.866 025	−0.866 025	7.454 9 × 10⁻¹⁰
g19	32.655 59	32.655 63	32.655 86	32.656 00	32.657 25	3.753 8 × 10⁻⁴
g24	−5.508 013	−5.508 013	−5.508 013	−5.508 013	−5.508 013	3.735 5 × 10⁻¹⁵

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