Salomon test objective function.
This class defines the Salomon global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Sargan test objective function.
This class defines the Sargan global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schaffer 1 test objective function.
This class defines the Schaffer 1 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schaffer 2 test objective function.
This class defines the Schaffer 2 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schaffer 3 test objective function.
This class defines the Schaffer 3 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for
Schaffer 4 test objective function.
This class defines the Schaffer 4 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for
Schmidt-Vetters test objective function.
This class defines the Schmidt-Vetters global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 1 test objective function.
This class defines the Schwefel 1 global optimization problem. This is a unimodal minimization problem defined as follows:
Where, in this exercise, .
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 2 test objective function.
This class defines the Schwefel 2 global optimization problem. This is a unimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 4 test objective function.
This class defines the Schwefel 4 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 6 test objective function.
This class defines the Schwefel 6 global optimization problem. This is a unimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for
Schwefel 20 test objective function.
This class defines the Schwefel 20 global optimization problem. This is a unimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 21 test objective function.
This class defines the Schwefel 21 global optimization problem. This is a unimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 22 test objective function.
This class defines the Schwefel 22 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 26 test objective function.
This class defines the Schwefel 26 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Schwefel 36 test objective function.
This class defines the Schwefel 36 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for
Shekel 5 test objective function.
This class defines the Shekel 5 global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
Here, represents the number of dimensions and for .
Global optimum: for for
Shekel 7 test objective function.
This class defines the Shekel 7 global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
Here, represents the number of dimensions and for .
Global optimum: for for
Shekel 10 test objective function.
This class defines the Shekel 10 global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
Here, represents the number of dimensions and for .
Global optimum: for for
Shubert 1 test objective function.
This class defines the Shubert 1 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for (and many others).
Shubert 3 test objective function.
This class defines the Shubert 3 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for (and many others).
Shubert 4 test objective function.
This class defines the Shubert 4 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for (and many others).
SineEnvelope test objective function.
This class defines the SineEnvelope global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Six Hump Camel test objective function.
This class defines the Six Hump Camel global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for or
Sodp test objective function.
This class defines the Sum Of Different Powers global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Sphere test objective function.
This class defines the Sphere global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Step test objective function.
This class defines the Step global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Stochastic test objective function.
This class defines a Stochastic global optimization problem. This is a multimodal minimization problem defined as follows:
The variable is a random variable uniformly distributed in .
Here, represents the number of dimensions and for .
Global optimum: for for
StretchedV test objective function.
This class defines the Stretched V global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
Here, represents the number of dimensions and for .
Global optimum: for when .
StyblinskiTang test objective function.
This class defines the Styblinski-Tang global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for