Catalytic cracking problem (TACO) - Revision history

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

2015-12-30T20:32:10Z

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 [[Catalytic cracking 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>~~Tjoa1991</~~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 [[Catalytic cracking 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="Tjoa1991" />. 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]]
	R		R

Ckirches: Reference for catalytic cracking problem (TACO)

2011-09-29T20:47:02Z

Reference for catalytic cracking problem (TACO)

← Older revision		Revision as of 20:47, 29 September 2011
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	This page contains a model of the [[Catalytic cracking 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 [[Catalytic cracking 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>Tjoa1991</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, <= 20; # ODE parameters		var theta {1..np} >= 0, <= 20; # ODE parameters

	var u {s in 1..ne};		var u {s in 1..ne};
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	* Mathematical notation at [[Catalytic cracking problem]]		* Mathematical notation at [[Catalytic cracking 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]]
			R

Ckirches: Catalytic cracking of gas/oil problem (TACO)

2011-09-29T18:13:17Z

Catalytic cracking of gas/oil problem (TACO)

New page

This page contains a model of the [[Catalytic cracking 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 gasoil_taco.mod
<source lang="AMPL">
# ----------------------------------------------------------------
# Catalytic cracking problem using AMPL and TACO
# (c) Christian Kirches, Sven Leyffer
#
# Source: COPS 3.1 collocation formulation - March 2004
# Michael Merritt - Summer 2000
# ----------------------------------------------------------------
include OptimalControl.mod;

var t;

param ne := 2; # number of differential equations
param np := 3; # number of ODE parameters
param nm > 0, integer; # number of measurements

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

param z {1..nm, 1..ne}; # observations
var theta {1..np} >= 0, <= 20; # ODE parameters

var u {s in 1..ne};

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

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

subject to bc_cond {s in 1..ne}: eval (u[s], 0) = bc[s];

subject to de1:
diff(u[1],t) = - (theta[1]+theta[3])*u[1]^2;

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

data gasoil_taco.dat;

option solver ...;

solve;

</source>

This is the data file gasoil_taco.dat
<source lang="AMPL">
param nm := 21;

# Time measurements

param tau :=
1 0
2 0.025
3 0.05
4 0.075
5 0.10
6 0.125
7 0.150
8 0.175
9 0.20
10 0.225
11 0.250
12 0.30
13 0.35
14 0.40
15 0.45
16 0.50
17 0.55
18 0.65
19 0.75
20 0.85
21 0.95;

# Concentrations

param z: 1 2 :=
1 1.0000 0
2 0.8105 0.2000
3 0.6208 0.2886
4 0.5258 0.3010
5 0.4345 0.3215
6 0.3903 0.3123
7 0.3342 0.2716
8 0.3034 0.2551
9 0.2735 0.2258
10 0.2405 0.1959
11 0.2283 0.1789
12 0.2071 0.1457
13 0.1669 0.1198
14 0.1530 0.0909
15 0.1339 0.0719
16 0.1265 0.0561
17 0.1200 0.0460
18 0.0990 0.0280
19 0.0870 0.0190
20 0.0770 0.0140
21 0.0690 0.0100;

param bc := 1 1 2 0;

</source>

== Other Descriptions ==

Other descriptions of this problem are available in

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

[[Category:AMPL/TACO]]