An Algorithm for Global Optimization Inspired by Collective Animal Behavior

Table 5

Minimization of benchmark functions in Table 13 with 𝑛=30. Maximum number of iterations = 1000.

		RGA	PSO	GSA	DE	CAB
𝑓8	Average best sofar	−𝟏.𝟐𝟔×𝟏𝟎^𝟒	−9.8×10^3	−2.8×10^3	−4.1×10^3	−𝟏.𝟐×𝟏𝟎^𝟒
	Median best sofar	−𝟏.𝟐𝟔×𝟏𝟎^𝟒	−9.8×10^3	−2.6×10^3	−4.1×10^3	−𝟏.𝟐×𝟏𝟎^𝟒
	Average mean fitness	−𝟏.𝟐𝟔×𝟏𝟎^𝟒	−9.8×10^3	−1.1×10^3	−4.1×10^3	−𝟏.𝟐×𝟏𝟎^𝟒
𝑓9	Average best sofar	5.90	55.1	15.32	30.12	𝟏.𝟎×𝟏𝟎^−𝟑
	Median best sofar	5.71	56.6	14.42	31.43	𝟕.𝟔×𝟏𝟎^−𝟒
	Average mean fitness	5.92	72.8	15.32	30.12	𝟏.𝟎×𝟏𝟎^−𝟑
𝑓10	Average best sofar	2.13	9.0×10^−3	6.9×10^−6	3.1×10^−3	𝟖.𝟖𝟖×𝟏𝟎^−𝟏𝟔
	Median best sofar	2.16	6.0×10^−3	6.9×10^−6	2.3×10^−3	𝟐.𝟗𝟕×𝟏𝟎^−𝟏𝟏
	Average mean fitness	2.15	0.02	1.1×10^−5	3.1×10^−3	𝟗.𝟎×𝟏𝟎^−𝟏𝟎
𝑓11	Average best sofar	1.16	0.01	0.29	1.0×10^−3	𝟏.𝟏𝟒×𝟏𝟎^−𝟏𝟑
	Median best sofar	1.14	0.0081	0.04	1.0×10^−3	𝟏.𝟏𝟒×𝟏𝟎^−𝟏𝟑
	Average mean fitness	1.16	0.055	0.29	1.0×10^−3	𝟏.𝟏𝟒×𝟏𝟎^−𝟏𝟑
𝑓12	Average best sofar	0.051	0.29	0.01	0.12	𝟐.𝟑𝟐×𝟏𝟎^−𝟑𝟎
	Median best sofar	0.039	0.11	4.2×10^−13	0.01	𝟓.𝟐𝟐×𝟏𝟎^−𝟐𝟐
	Average mean fitness	0.053	9.3×10^3	0.01	0.12	𝟒.𝟔𝟑×𝟏𝟎^−𝟏𝟕
𝑓13	Average best sofar	0.081	3.1×10^−18	𝟑.𝟐×𝟏𝟎^−𝟑𝟐	1.77×10^−25	𝟏.𝟑𝟓×𝟏𝟎^−𝟑𝟐
	Median best sofar	0.032	2.2×10^−23	𝟐.𝟑×𝟏𝟎^−𝟑𝟐	1.77×10^−25	𝟐.𝟐𝟎×𝟏𝟎^−𝟐𝟏
	Average mean fitness	0.081	4.8×10^5	𝟑.𝟐×𝟏𝟎^−𝟑𝟐	1.77×10^−25	𝟑.𝟓𝟑×𝟏𝟎^−𝟏𝟕