Table 2 A subset of the test problems proposed at CEC′2005 for dimensions 10-D and 30-D
From: The q-G method
Test problems | \([\mathbf {x}_{min},\mathbf {x}_{max}]^D\) | \(f(\mathbf {x}^{*})\) | ||
|---|---|---|---|---|
Unimodal | ||||
\(f_1\) | Shifted sphere function | \([-100,100]^D\) | −450 | |
\(f_2\) | Shifted Schwefel’s problem 1.2 | \([-100,100]^D\) | −450 | |
\(f_3\) | Shifted rotated high conditioned elliptic function | \([-100,100]^D\) | −450 | |
\(f_4\) | Shifted Schwefel’s problem 1.2 with noise in fitness | \([-100,100]^D\) | −450 | |
\(f_5\) | Schwefel’s problem 2.6 with global optimum on bounds | \([-100,100]^D\) | −310 | |
Multimodal | ||||
\(f_6\) | Shifted Rosenbrock’s function | \([-100,100]^D\) | 390 | |
\(f_7\) | Shifted rotated Griewank’s function without bounds | – | −180 | |
\(f_9\) | Shifted Rastrigin’s function | \([-5,5]^D\) | −330 | |
\(f_{10}\) | Shifted rotated Rastrigin’s function | \([-5,5]^D\) | −330 | |
\(f_{11}\) | Shifted rotated Weierstrass function | \([-0.5,0.5]^D\) | 90 | |
\(f_{12}\) | Schwefel’s problem 2.13 | \([-\pi ,\pi ]^D\) | −460 | |
\(f_{15}\) | Hybrid composition function | \([-5,5]^D\) | 120 | |