An Algorithm for Global Optimization Inspired by Collective Animal Behavior

Table 7

Minimization result of benchmark functions in Table 14 with 𝑛=30. Maximum number of iterations = 500.

		RGA	PSO	GSA	DE	CAB
𝑓14	Average best sofar	0.998	0.998	3.70	0.998	0.998
	Median best sofar	0.998	0.998	2.07	0.998	0.998
	Average mean fitness	0.998	0.998	9.17	0.998	0.998
𝑓15	Average best sofar	4.0×10^−3	2.8×10^−3	8.0×10^−3	2.2×10^−3	1.1×10^−3
	Median best sofar	1.7×10^−3	7.1×10^−4	7.4×10^−4	5.3×10^−4	2.2×10^−4
	Average mean fitness	4.0×10^−3	215.60	9.0×10^−3	2.2×10^−3	1.1×10^−3
𝑓16	Average best sofar	−1.0313	−1.0316	−1.0316	−1.0316	−1.0316
	Median best sofar	−1.0315	−1.0316	−1.0316	−1.0316	−1.0316
	Average mean fitness	−1.0313	−1.0316	−1.0316	−1.0316	−1.0316
𝑓17	Average best sofar	0.3996	0.3979	0.3979	0.3979	0.3979
	Median best sofar	0.3980	0.3979	0.3979	0.3979	0.3979
	Average mean fitness	0.3996	2.4112	0.3979	0.3979	0.3979
𝑓18	Average best sofar	−3.8627	−3.8628	−3.8628	−3.8628	−3.8628
	Median best sofar	−3.8628	−3.8628	−3.8628	−3.8628	−3.8628
	Average mean fitness	−3.8627	−3.8628	−3.8628	−3.8628	−3.8628
𝑓19	Average best sofar	−3.3099	−3.3269	−3.7357	−3.3269	−3.8501
	Median best sofar	−3.3217	−3.2031	−3.8626	−3.3269	−3.8501
	Average mean fitness	−3.3098	−3.2369	−3.8020	−3.3269	−3.8501
𝑓20	Average best sofar	−3.3099	−3.2369	−2.0569	−3.2369	−3.2369
	Median best sofar	−3.3217	−3.2031	−1.9946	−3.2369	−3.2369
	Average mean fitness	−3.3098	−3.2369	−1.6014	−3.2369	−3.2369
𝑓21	Average best sofar	−5.6605	−6.6290	−6.0748	−6.6290	−10.1532
	Median best sofar	−2.6824	−5.1008	−5.0552	−6.0748	−10.1532
	Average mean fitness	−5.6605	−5.7496	−6.0748	−6.6290	−10.1532
𝑓22	Average best sofar	−7.3421	−9.1118	−9.3339	−9.3339	−10.4028
	Median best sofar	−10.3932	−10.402	−10.402	−9.3339	−10.4028
	Average mean fitness	−7.3421	−9.9305	−9.3399	−9.3339	−10.4028
𝑓23	Average best sofar	−6.2541	−9.7634	−9.4548	−9.7634	−10.5363
	Median best sofar	−4.5054	−10.536	−10.536	−9.7636	−10.5363
	Average mean fitness	−6.2541	−8.7626	−9.4548	−9.7634	−10.5363