A Selective Biogeography-Based Optimizer Considering Resource Allocation for Large-Scale Global Optimization

Table 1

The summary of functions in CEC 2010 benchmark suite.

Function name	Properties	Search range	Separability
F1: shifted elliptic function	Unimodal; shifted	[−100, 100]^D	Fully separable
F2: shifted Rastrigin’s function	Multimodal; shifted	[−5, 5]^D
F3: shifted Ackley’s function	Multimodal; shifted	[−32, 32]^D
F4: single-group shifted 50-rotated elliptic function	Unimodal; shifted	[−100, 100]^D	Single separable subcomponent
F5: single-group shifted 50-rotated Rastrigin’s function	Multimodal; shifted	[−5, 5]^D
F6: single-group shifted 50-rotated Ackley’s function	Multimodal; shifted	[−32, 32]^D
F7: single-group shifted 50-dimensional Schwefel’s	Unimodal; shifted	[−100, 100]^D
F8: single-group shifted 50-dimensional Rosenbrock’s	Multimodal; shifted	[−100, 100]^D
F9: 10-group shifted 50-rotated elliptic function	Unimodal; shifted	[−100, 100]^D	separable subcomponents
F10: 10-group shifted 50-rotated Rastrigin function	Multimodal; shifted	[−5, 5]^D
F11: 10-group shifted 50-rotated Ackley function	Multimodal; shifted	[−32, 32]^D
F12: 10-group shifted 50-dimensional Schwefel’s	Unimodal; shifted	[−100, 100]^D
F13: 10-group shifted 50-dimensional Rosenbrock’s	Multimodal; shifted	[−100, 100]^D
F14: 20-group shifted 50-rotated elliptic function	Unimodal; shifted	[−100, 100]^D	separable subcomponents
F15: 20-group shifted 50-rotated Rastrigin’s function	Multimodal; shifted	[−5, 5]^D
F16: 20-group shifted 50-rotated Ackley function	Multimodal; shifted	[−32, 32]^D
F17: 20-group shifted 50-rotated Schwefel’s function	Unimodal; shifted	[−100, 100]^D
F18: 20-group shifted 50-rotated Rosenbrock’s function	Multimodal; shifted	[−100, 100]^D
F19: shifted Schwefel’s function 1.2	Unimodal; shifted	[−100, 100]^D	Fully nonseparable
F20: shifted Rosenbrock’s function	Multimodal; shifted	[−100, 100]^D

Note. m is the group size, and D is the dimension. In the CEC’2010 benchmark suite, m = 50, D = 1000.