An Algorithm for Global Optimization Inspired by Collective Animal Behavior

Table 2

Results of CAB with variant values of parameter 𝐻 over 5 typical functions, with 𝑃=0.8.

Function	𝑛	𝐻=0.5,𝜇(𝜎^2)	𝐻=0.6,𝜇(𝜎^2)	𝐻=0.7,𝜇(𝜎^2)	𝐻=0.8,𝜇(𝜎^2)	𝐻=0.9,𝜇(𝜎^2)
𝑓1	30	2.23×10^−10; (8.92×10^−11)	3.35×10^−18; (3.21×10^−19)	3.85×10^−22; (6.78×10^−23)	𝟐.𝟑𝟑×𝟏𝟎^−𝟐𝟗; (𝟒.𝟒𝟏×𝟏𝟎^−𝟑𝟎)	4.72×10^−21; (6.29×10^−22)
𝑓3	30	5.71×10^−10; (5.12×10^−11)	3.24×10^−18; (1.32×10^−19)	6.29×10^−27; (8.26×10^−23)	𝟕.𝟔𝟐×𝟏𝟎^−𝟑𝟏; (𝟒.𝟐𝟑×𝟏𝟎^−𝟑𝟐)	5.41×10^−22; (5.28×10^−23)
𝑓5	30	8.80×10^−9; (5.55×10^−10)	6.72×10^−21; (1.11×10^−22)	1.69×10^−23; (1.34×10^−24)	𝟗.𝟎𝟐×𝟏𝟎^−𝟐𝟖; (𝟔.𝟕𝟕×𝟏𝟎^−𝟐𝟗)	7.39×10^−21; (4.41×10^−22)
𝑓10	30	2.88×10^−4; (3.11×10^−5)	3.22×10^−10; (2.18×10^−12)	1.23×10^−14; (4.65×10^−15)	𝟖.𝟖𝟖×𝟏𝟎^−𝟏𝟔; (𝟑.𝟒𝟗×𝟏𝟎^−𝟏𝟕)	5.92×10^−7; (3.17×10^−9)
𝑓11	30	1.81×10^−4; (2.16×10^−5)	2.89×10^−6; (6.43×10^−7)	2.36×10^−7; (3.75×10^−4)	𝟒.𝟐𝟏×𝟏𝟎^−𝟏𝟎; (𝟒.𝟖𝟕×𝟏𝟎^−𝟏𝟏)	3.02×10^−4; (4.37×10^−6)