Gear objective function.
This class defines the Gear global optimization problem. This is a multimodal minimization problem defined as follows:
with for .
Global optimum: for , where the various may be permuted.
Gavana, A. Global Optimization Benchmarks and AMPGO
Giunta objective function.
This class defines the Giunta global optimization problem. This is a multimodal minimization problem defined as follows:
with for .
Global optimum: for
Jamil, M. & Yang, X.-S. A Literature Survey of Benchmark Functions For Global Optimization Problems Int. Journal of Mathematical Modelling and Numerical Optimisation, 2013, 4, 150-194.
Todo
Jamil has the wrong fglob. I think there is a lower value.
Goldstein-Price objective function.
This class defines the Goldstein-Price global optimization problem. This is a multimodal minimization problem defined as follows:
with for .
Global optimum: for
Jamil, M. & Yang, X.-S. A Literature Survey of Benchmark Functions For Global Optimization Problems Int. Journal of Mathematical Modelling and Numerical Optimisation, 2013, 4, 150-194.
Gramacy Lee objective function No 2.
Gramacy Lee objective function No 3.
Griewank objective function.
This class defines the Griewank global optimization problem. This is a multimodal minimization problem defined as follows:
Here, represents the number of dimensions and for .
Global optimum: for for
Jamil, M. & Yang, X.-S. A Literature Survey of Benchmark Functions For Global Optimization Problems Int. Journal of Mathematical Modelling and Numerical Optimisation, 2013, 4, 150-194.
Gulf objective function.
This class defines the Gulf global optimization problem. This is a multimodal minimization problem defined as follows:
Where, in this exercise:
with for .
Global optimum: for
Gavana, A. Global Optimization Benchmarks and AMPGO
Todo
Gavana has absolute of (u - x[1]) term. Jamil doesn’t... Leaving it in.