A Hybrid Search Model for Constrained Optimization

Table 5

Results of HyCO and other compared algorithms on 18 COPs with 30 d from CEC 2010.

Problem	Criteria	FROFI	ITLBO	DeCODE	AIS-IRP	ECHTDE	HyCO
C01	Mean	−8.21E − 01 ± 2.36E − 03+	−8.20E − 01 ± 8.95E − 04≈	−8.19E − 01 ± 3.20E − 03≈	−8.20E − 01 ± 3.25E − 04≈	−8.00E − 01 ± 1.79E − 02−	−8.19E − 01 ± 2.83E − 03
C02	Mean	−2.00E + 00 ± 4.35E − 02−	−2.03E + 00 ± 7.64E − 02−	−2.23E + 00 ± 3.49E − 02−	−2.21E + 00 ± 2.84E − 03−	−1.99E + 00 ± 2.10E − 01−	−2.27E + 00 ± 1.04E − 02
C03	Mean	2.87E + 01 ± 6.24E-08−	7.84E + 01 ± 6.31E + 01−	2.06E + 01 ± 1.31E + 01+	6.68E + 01 ± 4.26E + 02−	9.89E + 01 ± 6.26E + 01−	2.52E + 01 ± 9.51E + 00
C04	Mean	−3.33E − 06 ± 4.13E − 10≈	1.69E − 03 ± 1.14E − 03−	−3.33E − 06 ± 6.92E − 12≈	1.98E − 03 ± 1.61E − 03−	−1.03E − 06 ± 9.01E − 03−	−3.33E − 06 ± 1.84E − 09
C05	Mean	−4.81E + 02 ± 2.84E + 00−	−4.82E + 02 ± 1.73E + 00−	−4.83E + 02 ± 1.53E − 01−	−4.36E + 02 ± 2.51E + 01−	−1.06E + 02 ± 1.67E + 02−	−4.84E + 02 ± 6.11E − 02
C06	Mean	−5.29E + 02 ± 5.71E − 01≈	−5.30E + 02 ± 4.80E − 01≈	−5.28E + 02 ± 1.46E + 00≈	−4.54E + 02 ± 4.79E + 01−	−1.38E + 02 ± 9.89E + 01−	−5.30E + 02 ± 1.52E − 01
C07	Mean	0.00E + 00 ± 0.00E + 00≈	1.59E − 01 ± 7.97E − 01−	0.00E + 00 ± 0.00E + 00≈	1.07E + 00 ± 1.61E + 00−	1.33E − 01 ± 7.28E − 01−	1.91E − 27 ± 7.27E − 27
C08	Mean	0.00E + 00 ± 0.00E + 00≈	1.14E + 01 ± 2.79E + 01−	0.00E + 00 ± 0.00E + 00≈	1.65E + 00 ± 6.41E − 01−	3.36E + 01 ± 1.11E + 02−	1.65E − 27 ± 4.56E − 27
C09	Mean	4.30E + 01 ± 3.27E + 01−	2.86E + 00 ± 1.43E + 01−	8.97E + 00 ± 2.32E + 01−	1.57E + 00 ± 1.96E + 00−	4.24E + 01 ± 1.38E + 02−	1.76E − 01 ± 8.80E − 01
C10	Mean	3.13E + 01 ± 8.22E − 02≈	3.29E + 01 ± 1.41E + 01−	3.13E + 01 ± 1.72E − 05≈	1.78E + 01 ± 1.88E + 01+	5.34E + 01 ± 8.83E + 01−	3.13E + 01 ± 1.68E − 06
C11	Mean	−3.92E − 04 ± 2.64E − 06≈	−3.86E − 04 ± 1.14E − 05−	−3.92E − 04 ± 3.11E − 10≈	−1.58E − 04 ± 4.67E − 05−	2.60E − 03 ± 6.00E − 03▽−	−3.92E − 04 ± 6.11E − 10
C12	Mean	−1.99E − 01 ± 1.42E − 06≈	−1.98E − 01 ± 2.39E − 03−	−1.99E − 01 ± 1.23E − 06≈	4.29E − 06 ± 4.52E − 04−	−2.51E + 01 ± 1.37E + 02▽−	-1.99E − 01 ± 2.66E-08
C13	Mean	−6.83E + 01 ± 1.95E − 01+	−5.05E + 01 ± 1.18E + 00−	−6.73E + 01 ± 1.60E + 00+	−6.62E + 01 ± 2.27E − 01+	−6.46E + 01 ± 1.67E + 00+	−6.36E + 01 ± 1.93E + 00
C14	Mean	9.80E − 29 ± 4.90E − 28≈	4.78E − 01 ± 1.32E + 00−	0.00E + 00 ± 0.00E + 00≈	8.68E − 07 ± 3.14E − 07−	1.24E + 05 ± 6.77E + 05−	1.29E − 27 ± 3.88E − 27
C15	Mean	2.16E + 01 ± 8.03E-05≈	2.38E + 01 ± 2.51E + 01−	2.18E + 01 ± 1.14E + 00−	3.41E + 01 ± 3.82E + 01−	1.94E + 11 ± 4.35E + 11−	2.16E + 01 ± 1.87E-07
C16	Mean	0.00E + 00 ± 0.00E + 00≈	0.00E + 00 ± 0.00E + 00≈	0.00E + 00 ± 0.00E + 00≈	8.21E − 02 ± 1.12E − 01−	0.00E + 00 ± 0.00E + 00≈	0.00E + 00 ± 0.00E + 00
C17	Mean	1.59E − 01 ± 3.82E − 01−	9.65E − 01 ± 1.73E + 00−	4.48E − 02 ± 1.21E − 01−	3.61E + 00 ± 2.54E + 00−	2.75E − 01 ± 3.78E − 01−	4.97E − 12 ± 1.87E − 11
C18	Mean	4.87E − 01 ± 1.25E + 00−	9.07E − 17 ± 3.18E − 16≈	3.03E − 06 ± 1.29E − 05−	4.02E + 01 ± 1.80E + 01−	0.00E + 00 ± 0.00E + 00≈	7.14E − 32 ± 1.02E − 31
−		6	14	6	15	15
+		2	0	2	2	1
≈		10	4	10	1	2