Test problems: Difference between revisions
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===Flood Mitigation=== | ===Flood Mitigation=== | ||
[[File:TP FloodMitigation.png|thumb|Flood Mitigation]] | [[File:TP FloodMitigation.png|thumb|Flood Mitigation]] | ||
Multicriteria Problem Flood Mitigation and Hydropower Generation<ref>'''Sharma, Ajay''' (2008): Inflow prediction and optimal operation of reservoir system during flood by the combined application of ANN and different Optimization techniques. Master | Multicriteria Problem Flood Mitigation and Hydropower Generation<ref>'''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.</ref><br clear="all"/> | ||
==References== | ==References== | ||
Revision as of 06:19, 11 September 2009
Liste der Testprobleme, die in BlueM.Opt eingebaut sind. Einige davon 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 Thesis, Institute of Hydraulic and Water Resources Engineering, Technische Universität Darmstadt.