Test problems - Revision history

Froehlich: Added Ackley function (BlueM.Opt v2.4.0)

2023-05-19T09:18:57Z

Added Ackley function (BlueM.Opt v2.4.0)

@@ Line 4: / Line 4: @@
 ==Test problems==
 ===Beale problem===
 [[File:Beale Sensiplot.png|thumb|right|Beale function (created with [[SensiPlot]])]]

Froehlich: /* CONSTR */

2023-05-19T09:03:57Z

CONSTR

← Older revision		Revision as of 02:03, 19 May 2023
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	===CONSTR===		===CONSTR===
	[[File:CONSTR_ani.gif\|thumb\|CONSTR]]		[[File:CONSTR_ani.gif\|thumb\|CONSTR]]
	Multicriteria test problem (convex) with two ~~contraints~~<br clear="all" />		Multicriteria test problem (convex) with two constraints<br clear="all" />

	===Deb 1===		===Deb 1===

Froehlich: /* Beale problem */ formatting

2023-05-19T09:03:43Z

Beale problem: formatting

← Older revision		Revision as of 02:03, 19 May 2023
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	==Test problems==		==Test problems==
	===Beale problem===		===Beale problem===
	[[File:Beale Sensiplot.png\|thumb\|Beale function (created with [[SensiPlot]])]]		[[File:Beale Sensiplot.png\|thumb\|right\|Beale function (created with [[SensiPlot]])]]
	[[File:Beale_ani.gif\|thumb\|~~left~~\|Beale problem being solved with [[PES]]]]		[[File:Beale_ani.gif\|thumb\|right\|Beale problem being solved with [[PES]] (animation)]]
	Finding the minimum of the Beale function{{:Literature:Beale 1958\|}}.		Finding the minimum of the Beale function{{:Literature:Beale 1958\|}}.
	* Parameters: 2		* Parameters: 2

Froehlich: /* Zitzler/Deb T3 */ remove second image

2023-05-19T09:02:29Z

Zitzler/Deb T3: remove second image

← Older revision		Revision as of 02:02, 19 May 2023
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	===Zitzler/Deb T3===		===Zitzler/Deb T3===
	[[File:~~TP ZitzlerDebT3~~.~~png~~\|thumb\|Zitzler/Deb T3]]		[[File:Zitzler deb t3 ani.gif\|thumb\|right\|Zitzler/Deb T3 being solved with [[PES]] (animation)]]
	Multicriteria test problem (convex, non-continuous)		Multicriteria test problem (convex, non-continuous)<br clear="all" />
	~~[[File:Zitzler deb t3 ani.gif\|thumb\|left\|Zitzler/Deb T3]]~~<br clear="all" />

	===Zitzler/Deb T4===		===Zitzler/Deb T4===

Froehlich: sort test problems alphabetically

2023-05-19T09:00:06Z

sort test problems alphabetically

@@ Line 4: / Line 4: @@
 ==Test problems==
 ===Beale problem===
 [[File:Beale Sensiplot.png|thumb|Beale function (created with [[SensiPlot]])]]
@@ Line 17: / Line 14: @@
 Global minimum: <code>f(3, 0.5) = 0</code><br clear="all" />
 ===Schwefel 2.4 problem===
 Find the minimum (xi=1, F(x)=0)
-===Deb 1===
+===Sine function===
-Multicriteria test problem (convex)
+Fit parameters to the sine function
 ===Zitzler/Deb T1===
@@ Line 37: / Line 52: @@
 ===Zitzler/Deb T4===
 Multicriteria test problem (convex)
 ==References==

Froehlich: Translate to english

2023-05-19T08:54:10Z

Translate to english

← Older revision		Revision as of 01:54, 19 May 2023
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	~~{{Needs translation}}~~
	{{BlueM.Opt nav}}		{{BlueM.Opt nav}}
	<div style="float:left; margin:0 10px 10px 0;">__TOC__</div>		<div style="float:left; margin:0 10px 10px 0;">__TOC__</div>
	~~Liste der Testprobleme, die~~ in [[BlueM.Opt]] ~~eingebaut sind~~. ~~Einige davon stammen aus~~ {{:Literature:Moré et al. 1981}}.<br clear="all"/>		List of test problems available in [[BlueM.Opt]]. Some of them are taken from {{:Literature:Moré et al. 1981}}.<br clear="all"/>

	==Test problems==		==Test problems==
	===~~Sinus-Funktion~~===		===Sine function===
	~~Parameter an Sinusfunktion anpassen~~		Fit parameters to the sine function

	===Beale~~-Problem~~===		===Beale problem===
	[[File:Beale Sensiplot.png\|thumb\|Beale function (created with [[SensiPlot]])]]		[[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~~.		Finding the minimum of the Beale function{{:Literature:Beale 1958\|}}.
	* Parameters: 2		* Parameters: 2
	* Objective functions: 1		* Objective functions: 1
Line 17:		Line 16:
	<math>f(x,y)=(1.5-x(1-y))^2+(2.25-x(1-y^2))^2+(2.625-x(1-y^3))^2</math>		<math>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~~: <code>f(3, 0.5) = 0</code><br clear="all" />		Global minimum: <code>f(3, 0.5) = 0</code><br clear="all" />

	===Schwefel 2.4~~-Problem~~===		===Schwefel 2.4 problem===
	~~Minimum der Problemstellung wird gesucht~~ (xi=1, F(x)=0)		Find the minimum (xi=1, F(x)=0)

	===Deb 1===		===Deb 1===
	~~Multikriterielles Testproblem~~ (~~konvex~~)		Multicriteria test problem (convex)

	===Zitzler/Deb T1===		===Zitzler/Deb T1===
	~~Multikriterielles Testproblem~~ (~~konvex~~)		Multicriteria test problem (convex)

	===Zitzler/Deb T2===		===Zitzler/Deb T2===
	~~Multikriterielles Testproblem~~ (~~konkav~~)		Multicriteria test problem (concave)

	===Zitzler/Deb T3===		===Zitzler/Deb T3===
	[[File:TP ZitzlerDebT3.png\|thumb\|Zitzler/Deb T3]]		[[File:TP ZitzlerDebT3.png\|thumb\|Zitzler/Deb T3]]
	~~Multikriterielles Testproblem~~ (~~konvex~~, ~~nicht stetig~~)		Multicriteria test problem (convex, non-continuous)
	[[File:Zitzler deb t3 ani.gif\|thumb\|left\|Zitzler/Deb T3]]<br clear="all" />		[[File:Zitzler deb t3 ani.gif\|thumb\|left\|Zitzler/Deb T3]]<br clear="all" />

	===Zitzler/Deb T4===		===Zitzler/Deb T4===
	~~Multikriterielles Testproblem~~ (~~konvex~~)		Multicriteria test problem (convex)

	===CONSTR===		===CONSTR===
	[[File:CONSTR_ani.gif\|thumb\|CONSTR]]		[[File:CONSTR_ani.gif\|thumb\|CONSTR]]
	~~Multikriterielles Testproblem~~ (~~konvex~~) ~~mit zwei Randbedingungen~~<br clear="all" />		Multicriteria test problem (convex) with two contraints<br clear="all" />

	===Box===		===Box===
	[[File:EVO Box screenshot.png\|thumb\|Box]]		[[File:EVO Box screenshot.png\|thumb\|Box]]
	~~Multikriterielles Testproblem~~ (~~Kreis~~) ~~mit zwei Randbedingungen~~<br clear="all"/>		Multicriteria test problem (circle) with two contraints<br clear="all"/>

	===~~Abhängige Parameter~~===		===Dependent parameters===
	~~Bedingung im Parameterraum~~: Y > X		Parameter dependency: Y > X

	===Flood Mitigation===		===Flood Mitigation===

Froehlich: needs translation

2018-01-22T13:10:16Z

needs translation

← Older revision		Revision as of 06:10, 22 January 2018
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			{{Needs translation}}
	{{BlueM.Opt nav}}		{{BlueM.Opt nav}}
	<div style="float:left; margin:0 10px 10px 0;">__TOC__</div>		<div style="float:left; margin:0 10px 10px 0;">__TOC__</div>

Froehlich: /* Flood Mitigation */

2009-09-11T13:19:55Z

Flood Mitigation

← Older revision		Revision as of 06:19, 11 September 2009
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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's Thesis.</ref><br clear="all"/>		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==

Froehlich at 13:17, 11 September 2009

2009-09-11T13:17:14Z

← Older revision		Revision as of 06:17, 11 September 2009
Line 1:		Line 1:
	{{BlueM.Opt nav}}		{{BlueM.Opt nav}}
	<div style="float:left; margin:0 10px 10px 0;">__TOC__</div>		<div style="float:left; margin:0 10px 10px 0;">__TOC__</div>
	Liste der Testprobleme, die in [[BlueM.Opt]] eingebaut sind. ~~Die meisten~~ stammen aus {{:Literature:Moré et al. 1981}}.<br clear="all"/>		Liste der Testprobleme, die in [[BlueM.Opt]] eingebaut sind. Einige davon stammen aus {{:Literature:Moré et al. 1981}}.<br clear="all"/>

	==Test problems==		==Test problems==

Froehlich: /* Beale-Problem */

2009-09-11T13:14:03Z

Beale-Problem

← Older revision		Revision as of 06:14, 11 September 2009
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	===Beale-Problem===		===Beale-Problem===
	[[File:Beale Sensiplot.png\|thumb\|Beale~~-Problem evaluated~~ with [[SensiPlot]]]]		[[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.