Isomerization of Alpha-Pinene problem (TACO) - Revision history

JonasSchulze: Text replacement - "\(.*)\<\/bibref\>" to ""

2015-12-30T20:32:09Z

Text replacement - "\<bibref\>(.*)\<\/bibref\>" to "<bib id="$1" />"

← Older revision		Revision as of 20:32, 30 December 2015
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	This page contains a model of the [[Isomerization of Alpha-Pinene problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. This problem is due to <~~bibref>~~Box1973</~~bibref~~>. The original model using a collocation formulation can be found in the [http://www.mcs.anl.gov/~more/cops/ COPS library].		This page contains a model of the [[Isomerization of Alpha-Pinene problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. This problem is due to <bib id="Box1973" />. The original model using a collocation formulation can be found in the [http://www.mcs.anl.gov/~more/cops/ COPS library].
	Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.		Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.
	To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.		To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

JonasSchulze: Text replacement - "" to ""

2015-12-30T20:28:26Z

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	== References ==		== References ==
	<~~bibreferences~~/>		<biblist />

	[[Category:AMPL/TACO]]		[[Category:AMPL/TACO]]

Ckirches: Reference for alpha-pinene problem (TACO)

2011-09-29T20:51:46Z

Reference for alpha-pinene problem (TACO)

← Older revision		Revision as of 20:51, 29 September 2011
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	This page contains a model of the [[Isomerization of Alpha-Pinene problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The original model using a collocation formulation can be found in the [http://www.mcs.anl.gov/~more/cops/ COPS library].		This page contains a model of the [[Isomerization of Alpha-Pinene problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. This problem is due to <bibref>Box1973</bibref>. The original model using a collocation formulation can be found in the [http://www.mcs.anl.gov/~more/cops/ COPS library].
	Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.		Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.
	To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.		To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.
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	param z {1..nm,1..ne}; # observations		param z {1..nm,1..ne}; # observations
	var theta {1..np} >= 0, <= 100; # ODE parameters		var theta {1..np} >= 0, <= 100; # ODE parameters

	var u{1..ne} >= 0, <= 200;		var u{1..ne} >= 0, <= 200;
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	* Mathematical notation at [[Isomerization of Alpha-Pinene problem]]		* Mathematical notation at [[Isomerization of Alpha-Pinene problem]]
	* [[:Category:AMPL \| AMPL]] (using a fixed discretization) at the [http://www.mcs.anl.gov/~more/cops/ COPS library]		* [[:Category:AMPL \| AMPL]] (using a fixed discretization) at the [http://www.mcs.anl.gov/~more/cops/ COPS library]

			== References ==
			<bibreferences/>

	[[Category:AMPL/TACO]]		[[Category:AMPL/TACO]]

Ckirches: Pinene data

2011-09-29T19:23:52Z

Pinene data

@@ Line 52: / Line 52: @@
 subject to de5:
 	diff (u[5], t) = theta[4]*u[3] - theta[5]*u[5];
 option solver ...;
 solve;
 </source>

Ckirches: Isomerization of Alpha-Pinene (TACO)

2011-09-29T19:22:30Z

Isomerization of Alpha-Pinene (TACO)

New page

This page contains a model of the [[Isomerization of Alpha-Pinene problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The original model using a collocation formulation can be found in the [http://www.mcs.anl.gov/~more/cops/ COPS library].
Note that you will need to include a generic [[support AMPL files|AMPL/TACO support file]], OptimalControl.mod.
To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

=== AMPL ===

This is the source file pinene_taco.mod
<source lang="AMPL">
# ----------------------------------------------------------------
# Insomerization of Alpha-Pinene problem using AMPL and TACO
# (c) Christian Kirches, Sven Leyffer
#
# Source: COPS 3.1 collocation formulation - March 2004
# Alexander S. Bondarenko - Summer 1998
# ----------------------------------------------------------------
include OptimalControl.mod;

param ne > 0, integer; # number of differential equations
param np > 0, integer; # number of ODE parameters
param nm > 0, integer; # number of measurements

param bc {1..ne}; # boundary conditions
param tau {1..nm}; # times at which observations made

var t;
var tf := tau[nm];

param z {1..nm,1..ne}; # observations
var theta {1..np} >= 0, <= 100; # ODE parameters

var u{1..ne} >= 0, <= 200;

minimize l2error{i in 1..nm}:
eval ( sum {s in 1..ne} (u[s] - z[i,s])^2, tau[i] );

subject to theta_bounds {i in 1..np}: theta[i] >= 0.0;

subject to ode_bc {s in 1..ne}: eval(u[s], 0.0) = bc[s];

subject to de1:
diff (u[1], t) = - (theta[1]+theta[2])*u[1];

subject to de2:
diff (u[2], t) = theta[1]*u[1];

subject to de3:
diff (u[3], t) = theta[2]*u[1] - (theta[3]+theta[4])*u[3] + theta[5]*u[5];

subject to de4:
diff (u[4], t) = theta[3]*u[3];

subject to de5:
diff (u[5], t) = theta[4]*u[3] - theta[5]*u[5];

option solver ...;

solve;

</source>

== Other Descriptions ==

Other descriptions of this problem are available in

* Mathematical notation at [[Isomerization of Alpha-Pinene problem]]
* [[:Category:AMPL | AMPL]] (using a fixed discretization) at the [http://www.mcs.anl.gov/~more/cops/ COPS library]

[[Category:AMPL/TACO]]