An Algorithm for Global Optimization Inspired by Collective Animal Behavior

Table 1

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

Function	𝑛	𝑃=0.5, 𝜇(𝜎^2)	𝑃=0.6, 𝜇(𝜎^2)	𝑃=0.7, 𝜇(𝜎^2)	𝑃=0.8, 𝜇(𝜎^2)	𝑃=0.9, 𝜇(𝜎^2)
𝑓1	30	2.63×10^−11; (2.13×10^−12)	1.98×10^−17; (6.51×10^−18)	1.28×10^−23; (3.54×10^−24)	𝟐.𝟑𝟑×𝟏𝟎^−𝟐𝟗; (𝟒.𝟒𝟏×𝟏𝟎^−𝟑𝟎)	4.53×10^−23; (5.12×10^−24)
𝑓3	30	5.71×10^−13; (1.11×10^−14)	7.78×10^−19; (1.52×10^−20)	4.47×10^−27; (3.6×10^−28)	𝟕.𝟔𝟐×𝟏𝟎^−𝟑𝟏; (𝟒.𝟐𝟑×𝟏𝟎^−𝟑𝟐)	3.42×10^−26; (3.54×10^−27)
𝑓5	30	5.68×10^−11; (2.21×10^−12)	1.54×10^−17; (1.68×10^−18)	5.11×10^−22; (4.42×10^−23)	𝟗.𝟎𝟐×𝟏𝟎^−𝟐𝟖; (𝟔.𝟕𝟕×𝟏𝟎^−𝟐𝟗)	4.77×10^−20; (1.94×10^−21)
𝑓10	30	3.50×10^−5; (3.22×10^−6)	2.88×10^−9; (3.28×10^−10)	2.22×10^−12; (4.21×10^−13)	𝟖.𝟖𝟖×𝟏𝟎^−𝟏𝟔; (𝟑.𝟒𝟗×𝟏𝟎^−𝟏𝟕)	1.68×10^−11; (5.31×10^−12)
𝑓11	30	1.57×10^−2; (1.25×10^−3)	1.14×10^−6; (3.71×10^−7)	2.81×10^−8; (5.21×10^−9)	𝟒.𝟐𝟏×𝟏𝟎^−𝟏𝟎; (𝟒.𝟖𝟕×𝟏𝟎^−𝟏𝟏)	4.58×10^−4; (6.92×10^−5)