Enhancing Artificial Bee Colony Algorithm with Self-Adaptive Searching Strategy and Artificial Immune Network Operators for Global Optimization

Table 1

Benchmark functions used in experiments.

Number	Function	Dimension	Property	Range	Min
1	𝑓1(𝑥)=∑^𝐷𝑖=1𝑥^2𝑖	30	Unimodal	[−100, 100]	0
2	𝑓2(𝑥)=∑^𝐷𝑖=1𝑖𝑥^2𝑖	30	Unimodal	[−10, 10]	0
3	𝑓3(𝑥)=25+∑^𝐷𝑖=1𝑥𝑖	5	Unimodal	[−5.12, 5.12]	0
4	𝑓4(𝑥)=∑^𝐷𝑖=1𝑥𝑖+0.5^2	30	Unimodal	[−100, 100]	0
5	𝑓5(𝑥)=∑^𝐷𝑖=1𝑖𝑥^4𝑖+random(0,1)	30	Unimodal	[−1.28, 1.28]	0
6	𝑓6(𝑥)=max𝑖𝑥𝑖,1≤𝑖≤𝐷	30	Unimodal	[−100, 100]	0
7	𝑓7(𝑥)=−∏^𝐷𝑖=1cos𝑥𝑖exp−∑^𝐷𝑖=1(𝑥𝑖−𝜋)^2	2	Unimodal	[−100, 100]	−1
8	𝑓8(𝑥)=0.26∑^𝐷𝑖=1𝑥^2𝑖−0.48∏^𝐷𝑖=1𝑥𝑖	2	Unimodal	[−10, 10]	0
9	𝑓9(𝑥)=(𝑥1−1)^2+∑^𝐷𝑖=2𝑖(2𝑥^2𝑖−𝑥𝑖−1)^2	30	Unimodal	[−10, 10]	0
10	𝑓10(𝑥)=∑^𝐷𝑖=1100𝑥𝑖+1−𝑥^2𝑖^2+1−𝑥𝑖^2	30	Unimodal	[−30, 30]	0
11	𝑓11(𝑥)=∑^𝐷𝑖=1𝑥𝑖−10cos2𝜋𝑥𝑖+10	30	Multimodal	[−5.12, 5.12]	0
12	𝑓121(𝑥)=4000^𝐷𝑖∑=1𝑥𝑖−100^2−∏^𝐷𝑖=1𝑥cos^𝑖−100√𝑖+1	30	Multimodal	[−600, 600]	0
13	𝑓13(𝑥)=10×𝐷+∑^𝐷𝑖=1𝑥^2𝑖−10cos2𝜋𝑥𝑖	10	Multimodal	[−50, 50]	0
14	𝑓14(𝑥)=0.5+sin^2∑^𝐷𝑖=1𝑥^2𝑖−0.51+0.001∑^𝐷𝑖=1𝑥^2𝑖^2	2	Multimodal	[−100, 100]	0
15	𝑓15(𝑥)=∑^𝐷𝑖=1−𝑥𝑖sin𝑥𝑖	30	Multimodal	[−500, 500]	−12569.5