A Novel Complex Valued Cuckoo Search Algorithm

Table 2

Test the improved algorithm’s benchmark functions.

Functions	Dim	Domain	Theoretical value
𝑓(𝑥)=∑^𝑑−1𝑖=11−𝑥𝑖^2+100𝑥𝑖+1−𝑥^2𝑖^2	10	[−100,100]	0
𝑓(𝑥)=∑^𝑑𝑖=1𝑥^2𝑖	15	[5.12,5.12]	0
𝑓(𝑥)=10𝑑+∑^𝑑𝑖=1𝑥^2𝑖−10cos(2𝜋𝑥𝑖)	20	[5.12,5.12]	0
𝑓(𝑥)=−20exp−0.2(1/𝑑)∑^𝑑𝑖=1𝑥^2𝑖−exp(1/𝑑)∑^𝑑𝑖=1cos(2𝜋𝑥𝑖)+20+𝑒	30	[−32.768,32.768]	0
𝑓(𝑥)=−cos(𝑥)cos𝑦exp−(𝑥−𝜋)^2−𝑦−𝜋^2	2	[100,100]	−1
𝑓(𝑥)=1+(1/4000)∑^𝑑𝑖=1𝑥^2𝑖−∏^𝑑𝑖=1cos(𝑥𝑖/√𝑖)	10	[−600,600]	0