A Hybrid Search Model for Constrained Optimization

Table 9

Results with different K on 18 COPs with 30 d from CEC 2010.

Problem	Criteria	K = 8	K = 10	K = 12	K = 14	K = 16	K = 15
C01	Mean	−8.17E − 01 ± 5.81E − 03−	−8.20E − 01 ± 2.48E − 03≈	−8.19E − 01 ± 2.58E − 03≈	−8.20E − 01 ± 3.25E − 04≈	−8.19E − 01 ± 2.34E − 03≈	−8.19E − 01 ± 2.83E − 03
C02	Mean	−2.24 E + 00 ± 2.61E − 02−	−2.25 E+ 00 ± 2.71E − 02−	−2.27 E + 00 ± 2.65E − 02≈	−2.26 E + 00 ± 2.59E − 02−	−2.26 E + 00 ± 2.47E − 02≈	−2.27 E + 00 ± 1.04E − 02
C03	Mean	2.73 E + 01 ± 1.13 E + 01−	2.64 E + 01 ± 7.94 E + 00−	3.00 E + 01 ± 2.64 E + 01−	2.52 E + 01 ± 9.51 E + 00≈	2.86 E + 01 ± 1.42 E + 01−	2.52 E + 01 ± 9.51 E + 00
C04	Mean	−3.33E − 06 ± 4.66E − 10≈	−3.33E − 06 ± 3.92E − 10≈	−3.33E − 06 ± 3.00E − 10≈	−3.33E − 06 ± 1.28E − 09≈	−3.33E − 06 ± 2.45E − 09≈	−3.33E − 06 ± 1.84E − 09
C05	Mean	−4.84 E + 02 ± 8.54E − 02≈	−4.84 E + 02 ± 1.37E − 01≈	−4.84 E+02 ± 5.84E − 02≈	−4.84 E + 02 ± 5.40E − 02≈	−4.84 E + 02 ± 7.35E − 02≈	−4.84 E + 02 ± 6.11E − 02
C06	Mean	−5.30 E + 02 ± 2.88E − 01≈	−5.30 E + 02 ± 2.10E − 01≈	−5.30 E + 02 ± 2.52E − 01≈	−5.30 E + 02 ± 2.70E − 01≈	−5.30 E + 02 ± 2.53E − 01≈	−5.30 E + 02 ± 1.52E − 01
C07	Mean	1.59E − 01 ± 7.97E − 01−	2.21E − 27 ± 5.17E − 27≈	3.19E − 01 ± 1.10 E + 00−	1.59E − 01 ± 1.32E − 01−	1.64E − 28 ± 3.45E − 28≈	1.91E − 27 ± 7.27E − 27
C08	Mean	5.43E − 28 ± 2.72E − 27≈	1.11E − 27 ± 3.83E − 27≈	2.74E − 27 ± 5.58E − 27≈	1.59E − 01 ± 7.97E − 01−	3.42E − 27 ± 1.48E − 27≈	1.65E − 27 ± 4.56E − 27
C09	Mean	2.39 E + 01 ± 3.39 E + 01−	1.75 E + 01 ± 3.07 E + 01−	1.24 E + 01 ± 2.74 E + 01−	3.64 E + 00 ± 1.41 E + 01−	3.26 E + 00 ± 1.36 E + 01−	1.76E − 01 ± 8.80E − 01
C10	Mean	3.13 E + 01 ± 1.17E − 05≈	3.13 E + 01 ± 3.15E − 04≈	3.13 E + 01 ± 4.23E − 06≈	3.13 E + 01 ± 4.14E − 06≈	3.13 E + 01 ± 3.72E − 06≈	3.13 E + 01 ± 1.68E − 06
C11	Mean	−3.92E − 04 ± 2.07E − 10∇−	−3.83E − 04 ± 4.53E − 05−	−3.92E − 04 ± 2.46E − 10≈	−3.92E − 04 ± 2.93E − 10≈	−3.92E − 04 ± 3.65E − 09≈	−3.92E − 04 ± 6.11E − 10
C12	Mean	−1.99E − 01 ± 1.24E − 08≈	−1.99E − 01 ± 7.54E − 07≈	−1.99E − 01 ± 3.68E − 03≈	−1.99E − 01 ± 3.52E − 04≈	−1.99E − 01 ± 2.31E − 09≈	−1.99E − 01 ± 2.66E − 08
C13	Mean	−6.33 E + 01 ± 2.33 E + 00≈	−6.26 E + 01 ± 2.40 E + 00−	−6.25 E + 01 ± 2.54 E + 00−	−6.35 E + 01 ± 2.15E − 00≈	−6.26 E + 01 ± 2.09 E + 00−	−6.36 E + 01 ± 1.93 E + 00
C14	Mean	5.57E − 29 ± 2.78E − 28≈	6.38E − 01 ± 1.49 E + 00−	0.00 E + 00 ± 0.00 E + 00≈	0.00 E + 00 ± 0.00 E + 00≈	1.36E − 28 ± 2.01E − 28≈	1.29E − 27 ± 3.88E − 27
C15	Mean	2.21 E + 01 ± 1.58 E + 00−	2.16 E + 01 ± 1.33E − 07≈	2.16 E + 01 ± 3.66E − 07≈	2.16 E + 01 ± 3.16E − 07≈	2.16 E + 01 ± 1.69E − 07≈	2.16 E + 01 ± 1.87E − 07
C16	Mean	0.00 E + 00 ± 0.00 E + 00≈	0.00 E + 00 ± 0.00 E + 00≈	0.00 E + 00 ± 0.00 E + 00≈	0.00 E + 00 ± 0.00 E + 00≈	0.00 E + 00 ± 0.00 E + 00≈	0.00 E + 00 ± 0.00 E + 00
C17	Mean	9.65E − 01 ± 1.73 E + 00−	3.36E − 30 ± 1.68E − 30+	2.70E − 06 ± 1.35E − 05≈	3.36E − 11 ± 1.68E − 10≈	9.91E − 21 ± 4.35E − 20+	4.97E − 12 ± 1.87E − 11
C18	Mean	1.05E − 30 ± 4.75E − 30≈	1.19E − 31 ± 1.19E − 31≈	5.88E − 32 ± 6.31E − 32≈	1.16E − 31 ± 1.23E − 31≈	4.39E − 30 ± 4.65E − 30≈	7.14E − 32 ± 1.02E − 31
−		8	6	4	4	3
+		0	1	0	0	1
≈		10	11	14	14	14