Lotka Volterra fishing problem (TACO) - Revision history

SebastianSager at 09:25, 28 January 2016

2016-01-28T09:25:35Z

← Older revision		Revision as of 09:25, 28 January 2016
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	</source>		</source>

	~~== Other Descriptions ==~~

	~~Other descriptions of this problem are available in~~

	* Mathematical notation at [[Lotka Volterra fishing problem]]
	* [[:Category:AMPL \| AMPL]] (using a fixed discretization) at [[Lotka Volterra fishing problem (AMPL)]]
	* [[:Category:C \| C code]] at [[Lotka Volterra fishing problem (C)]]
	* [[:Category:optimica \| optimica]] at [[Lotka Volterra fishing problem (optimica)]]

	== References ==		== References ==

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 MIOCP [[Lotka Volterra fishing 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>~~Sager2005</~~bibref~~>.		This page contains a model of the MIOCP [[Lotka Volterra fishing 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="Sager2005" />.
	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 MINLP code that uses the TACO toolkit to support the AMPL optimal control extensions.		To solve this model, you require an optimal control or MINLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

JonasSchulze: Text replacement - "" to ""

2015-12-30T20:28:26Z

Text replacement - "<bibreferences/>" to "<biblist />"

← Older revision		Revision as of 20:28, 30 December 2015
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	== References ==		== References ==
	<~~bibreferences~~/>		<biblist />

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

Ckirches: Lotka TACO reference

2011-09-29T20:35:19Z

Lotka TACO reference

← Older revision		Revision as of 20:35, 29 September 2011
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	This page contains a model of the MIOCP [[Lotka Volterra fishing problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions.		This page contains a model of the MIOCP [[Lotka Volterra fishing 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>Sager2005</bibref>.
	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 MINLP code that uses the TACO toolkit to support the AMPL optimal control extensions.		To solve this model, you require an optimal control or MINLP code that uses the TACO toolkit to support the AMPL optimal control extensions.
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	* [[:Category:optimica \| optimica]] at [[Lotka Volterra fishing problem (optimica)]]		* [[:Category:optimica \| optimica]] at [[Lotka Volterra fishing problem (optimica)]]

			== References ==
			<bibreferences/>

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

Ckirches: Lotka AMPL/TACO category

2011-09-29T17:22:11Z

Lotka AMPL/TACO category

← Older revision		Revision as of 17:22, 29 September 2011
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	[[Category:AMPL]]		[[Category:AMPL/TACO]]

Ckirches: /* Source Code */

2011-09-28T22:19:48Z

Source Code

← Older revision		Revision as of 22:19, 28 September 2011
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	</source>		</source>

	== ~~Source Code~~ ==		== Other Descriptions ==

	Other ~~model~~ descriptions are available in		Other descriptions of this problem are available in

	* Mathematical notation at [[Lotka Volterra fishing problem]]		* Mathematical notation at [[Lotka Volterra fishing problem]]

Ckirches at 22:17, 28 September 2011

2011-09-28T22:17:36Z

← Older revision		Revision as of 22:17, 28 September 2011
Line 45:		Line 45:

	</source>		</source>

			== Source Code ==

			Other model descriptions are available in

			* Mathematical notation at [[Lotka Volterra fishing problem]]
			* [[:Category:AMPL \| AMPL]] (using a fixed discretization) at [[Lotka Volterra fishing problem (AMPL)]]
			* [[:Category:C \| C code]] at [[Lotka Volterra fishing problem (C)]]
			* [[:Category:optimica \| optimica]] at [[Lotka Volterra fishing problem (optimica)]]


	[[Category:AMPL]]		[[Category:AMPL]]

Ckirches: Lotka model using AMPL and TACO

2011-09-28T22:00:46Z

Lotka model using AMPL and TACO

New page

This page contains a model of the MIOCP [[Lotka Volterra fishing problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions.
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 MINLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

=== AMPL ===

This is the source file lotka_taco.mod
<source lang="AMPL">
# ----------------------------------------------------------------
# Lotka Volterra fishing problem using AMPL and TACO
# (c) Christian Kirches, Sven Leyffer
# ----------------------------------------------------------------
include OptimalControl.mod;

var t;
var xd0 := 0.5, >= 0, <= 20;
var xd1 := 0.7, >= 0, <= 20;
var dev := 0.0, >= 0, <= 20;

var u := 1, >= 0, <= 1 integer suffix type "u0";

param p0 := 0.4;
param p1 := 0.2;
param ref0 := 1.0;
param ref1 := 1.0;

# Minimize accumulated deviation from reference after 12 time units
minimize Mayer: eval(dev,12);

subject to

# ODE system
ODE_0: diff(xd0,t) = xd0 - xd0*xd1 - p0*u*xd0; # prey
ODE_1: diff(xd1,t) = -xd1 + xd0*xd1 - p1*u*xd1; # predator
ODE_2: diff(dev,t) = (xd0-ref0)^2 + (xd1-ref1)^2; # deviation from reference

# initial value constraints
IVC_0: eval(xd0,0) = 0.5;
IVC_1: eval(xd1,0) = 0.7;
IVC_2: eval(dev,0) = 0.0;

option solver ...;

solve;

</source>

[[Category:AMPL]]