Test problems: Difference between revisions
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===Beale-Problem=== | ===Beale-Problem=== | ||
[[File:Beale Sensiplot.png|thumb|Beale | [[File:Beale Sensiplot.png|thumb|Beale function (created with [[SensiPlot]])]] | ||
[[File:Beale_ani.gif|thumb|left|Beale-Problem being solved with [[PES]]]] | [[File:Beale_ani.gif|thumb|left|Beale-Problem being solved with [[PES]]]] | ||
Es wird das Minimum des Beale-Problems{{:Literature:Beale 1958|}} gesucht. | Es wird das Minimum des Beale-Problems{{:Literature:Beale 1958|}} gesucht. | ||
Revision as of 05:14, 11 September 2009
BlueM.Opt | Download | Usage | Development
Liste der Testprobleme, die in BlueM.Opt eingebaut sind. Die meisten stammen aus Moré et al. (1981)[1].
Test problems
Sinus-Funktion
Parameter an Sinusfunktion anpassen
Beale-Problem
Es wird das Minimum des Beale-Problems[2] gesucht.
- 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
Minimum der Problemstellung wird gesucht (xi=1, F(x)=0)
Deb 1
Multikriterielles Testproblem (konvex)
Zitzler/Deb T1
Multikriterielles Testproblem (konvex)
Zitzler/Deb T2
Multikriterielles Testproblem (konkav)
Zitzler/Deb T3
Multikriterielles Testproblem (konvex, nicht stetig)
Zitzler/Deb T4
Multikriterielles Testproblem (konvex)
CONSTR
Multikriterielles Testproblem (konvex) mit zwei Randbedingungen
Box
Multikriterielles Testproblem (Kreis) mit zwei Randbedingungen
Abhängige Parameter
Bedingung im Parameterraum: 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's Thesis.