Test problems
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List of test problems available in BlueM.Opt. Some of them are taken from Moré et al. (1981)[1].
Test problems
Sine function
Fit parameters to the sine function
Beale problem
Beale function (created with SensiPlot)
Beale problem being solved with PES
Finding the minimum of the Beale function[2].
- Parameters: 2
- Objective functions: 1
[math]\displaystyle{ f(x,y)=(1.5-x(1-y))^2+(2.25-x(1-y^2))^2+(2.625-x(1-y^3))^2 }[/math]
Global minimum: f(3, 0.5) = 0
Schwefel 2.4 problem
Find the minimum (xi=1, F(x)=0)
Deb 1
Multicriteria test problem (convex)
Zitzler/Deb T1
Multicriteria test problem (convex)
Zitzler/Deb T2
Multicriteria test problem (concave)
Zitzler/Deb T3
Multicriteria test problem (convex, non-continuous)
Zitzler/Deb T4
Multicriteria test problem (convex)
CONSTR
Multicriteria test problem (convex) with two contraints
Box
Multicriteria test problem (circle) with two contraints
Dependent parameters
Parameter dependency: Y > X
Flood Mitigation
Multicriteria Problem Flood Mitigation and Hydropower Generation[3]
References
- ↑ Moré, J.J., Garbow, B.S. and Hillstrom, K.E. (1981): Testing Unconstrained Optimization Software, ACM Transactions on Mathematical Software (TOMS) 7:1, p. 17-41, doi:10.1145/355934.355936
- ↑ Beale, E. M. L. (1958): On an iterative method of finding a local minimum of a function of more than one variable. Technical Report 25, Statistical Techniques Research Group, Princeton University.
- ↑ Sharma, Ajay (2008): Inflow prediction and optimal operation of reservoir system during flood by the combined application of ANN and different Optimization techniques. Master Thesis, Institute of Hydraulic and Water Resources Engineering, Technische Universität Darmstadt.