Differential Evolution Algorithm with Self-Adaptive Population Resizing Mechanism

Table 1

Benchmark functions.

Functions	Name	Search space	𝑓bias
𝑓1(𝑥)	Sphere	[−100,100]^𝐷	0
𝑓2(𝑥)	Rosenbrock	[−100,100]^𝐷	0
𝑓3(𝑥)	Ackley	[−32,32]^𝐷	0
𝑓4(𝑥)	Griewank	[−600,600]^𝐷	0
𝑓5(𝑥)	Rastrigin	[−5,5]^𝐷	0
𝑓6(𝑥)	Salomon	[−100,100]^𝐷	0
𝑓7(𝑥)	Generalized Penalized Function 1	[−50,50]^𝐷	0
𝑓8(𝑥)	Generalized Penalized Function 2	[−50,50]^𝐷	0
𝑓9(𝑥)	Shifted Sphere	[−100,100]^𝐷	−450
𝑓10(𝑥)	Shifted Schwefel's Problem 1.2	[−100,100]^𝐷	−450
𝑓11(𝑥)	Shifted Rotated High Conditioned Elliptic	[−100,100]^𝐷	−450
𝑓12(𝑥)	Shifted Schwefel's Problem 1.2 with Noise in Fitness	[−100,100]^𝐷	−450
𝑓13(𝑥)	Shifted Rosenbrock	[−100,100]^𝐷	390
𝑓14(𝑥)	Shifted Rotated Ackley's Function with Global Optimum on Bounds	[−32,32]^𝐷	−140
𝑓15(𝑥)	Shifted Rastrigin	[−100,100]^𝐷	−330
𝑓16(𝑥)	Shifted Rotated Rastrigin	[−5,5]^𝐷	−330
𝑓17(𝑥)	Shifted Rotated Weierstrass	[−0.5,0.5]^𝐷	90