An Improved Marriage in Honey Bees Optimization Algorithm for Single Objective Unconstrained Optimization

Table 1

Unconstrained test functions.

No.	Function name	Formula	Range	Optimum 𝑓(𝑥)
1	Sphere	𝑓(𝑥)=∑^𝑛𝑖=1𝑥^2	[5.12, 5.12]^𝑛	0
2	Rosenbrock	𝑓⟶(𝑥)=∑^𝑛−1𝑖=1100𝑥𝑖+1−𝑥^22+𝑥𝑖−1^2	[−2.04, 2.048]^𝑛	0
3	Rastrigin	𝑓⟶(𝑥)=10⋅𝑛+∑^𝑛𝑖=1𝑥^2𝑖−10⋅cos2𝜋𝑥𝑖	[−5.12, 5.12]^𝑛	0
4	Griewank	𝑓⟶(𝑥)=∑^𝑛𝑖=1𝑥^2𝑖𝑥4000−∏cos^𝑖√𝑖+1	[−600, 600]^𝑛	0
5	Schwefel	𝑓⟶(𝑥)=418.9829⋅𝑛+∑^𝑛𝑖=1𝑥𝑖⋅sin𝑥𝑖	[−500, 500]^𝑛	−418.9829∗𝑛
6	Ackley	𝑓⟶(𝑥)=20+𝑒−20⋅𝑒^−0.2⋅(1/𝑛)∑𝑛𝑖=1𝑥2𝑖−𝑒^(1/𝑛)∑𝑛𝑖=1cos(2𝜋𝑥𝑖)	[−32.768, 32.768]^𝑛	0