A Systematic and Meta-Analysis Survey of Whale Optimization Algorithm

Table 7

Summary of the 25 CEC2005 test functions.

No.	Functions		D	Search range
Unimodal benchmark functions (5)
1	Shifted sphere function	−450	10, 30, 50	[−100, 100]
2	Shifted Schwefel’s problem 1.2	−450	10, 30, 50	[−100, 100]
3	Shifted rotated high conditioned elliptic function	−450	10, 30, 50	[−100, 100]
4	Shifted Schwefel’s problem 1.2 with noise in fitness	−450	10, 30, 50	[−100, 100]
5	Schwefel’s problem 2.6 with global optimum on bounds	−310	10, 30, 50	[−100, 100]
Multimodal functions Basic functions (7)
6	Shifted Rosenbrock’s function	390	10, 30, 50	[−100, 100]
7	Shifted rotated Griewank function without bounds	−180	10, 30, 50	[0, 600]
8	Shifted rotated Ackley’s function with global optimum on bounds	−140	10, 30, 50	[−32, 32]
9	Shifted Rastrigin’s function	−330	10, 30, 50	[−5, 5]
10	Shifted rotated Rastrigin’s function	−330	10, 30, 50	[−5, 5]
11	Shifted rotated weierstrass function	90	10, 30, 50	[−0.5, 0.5]
12	Schwefel’s problem 2.13	−460	10, 30, 50	[−π, π]
Expanded functions (2)
13	Expanded extended Griewank plus Rosenbrock’s function (F8F2)	−130	10, 30, 50	[−3, 1]
14	Shifted rotated expanded Scaffer’s F6	−300	10, 30, 50	[−100, 100]
Hybrid composition functions (11)
15	Hybrid composition function	120	10, 30, 50	[−5, 5]
16	Rotated hybrid composition function	120	10, 30, 50	[−5, 5]
17	Rotated hybrid composition function with noise in fitness	120	10, 30, 50	[−5, 5]
18	Rotated hybrid composition function	10	10, 30, 50	[−5, 5]
19	Rotated hybrid composition function with a narrow basin for the global optimum	10	10, 30, 50	[−5, 5]
20	Rotated hybrid composition function with the global optimum on the bounds	10	10, 30, 50	[−5, 5]
21	Rotated hybrid composition function	360	10, 30, 50	[−5, 5]
22	Rotated hybrid composition function with high condition number matrix	360	10, 30, 50	[−5, 5]
23	Noncontinuous rotated hybrid composition function	360	10, 30, 50	[−5, 5]
24	Rotated hybrid composition function	260	10, 30, 50	[−5, 5]
25	Rotated hybrid composition function without bounds	260	10, 30, 50	[2, 5]