Parsopoulos test objective function.
This class defines the Parsopoulos global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: This function has inﬁnite number of global minima in R2, at points , where and
In the given domain problem, function has 12 global minima all equal to zero.
Pathological test objective function.
This class defines the Pathological global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Paviani test objective function.
This class defines the Paviani global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Penalty 1 test objective function.
This class defines the Penalty 1 global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
And:
Here, represents the number of dimensions and for .
Global optimum: for for
Penalty 2 test objective function.
This class defines the Penalty 2 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
PenHolder test objective function.
This class defines the PenHolder global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
PermFunction 1 test objective function.
This class defines the Perm Function 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
PermFunction 2 test objective function.
This class defines the Perm Function 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
Pinter test objective function.
This class defines the Pinter global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
Where and .
Here, represents the number of dimensions and for .
Global optimum: for for
Plateau test objective function.
This class defines the Plateau global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Powell test objective function.
This class defines the Powell global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Power sum test objective function.
This class defines the Power Sum 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
Price 1 test objective function.
This class defines the Price 1 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for or or or
Price 2 test objective function.
This class defines the Price 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
Price 3 test objective function.
This class defines the Price 3 global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for , , ,
Price 4 test objective function.
This class defines the Price 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