Lotka Volterra fishing problem - Revision history

ClemensZeile: /* Source Code */

2021-09-20T15:16:03Z

Source Code

← Older revision		Revision as of 15:16, 20 September 2021
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	* [[:Category:switch \| switch code]] at [[Lotka Volterra fishing problem (switch)]]		* [[:Category:switch \| switch code]] at [[Lotka Volterra fishing problem (switch)]]
	* [[:Category:TomDyn/PROPT \| PROPT code]] at [[Lotka Volterra fishing problem (TomDyn/PROPT)]]		* [[:Category:TomDyn/PROPT \| PROPT code]] at [[Lotka Volterra fishing problem (TomDyn/PROPT)]]
			* [[:Category:Julia/JuMP \| Julia code]] at [[Lotka Volterra fishing problem (Julia Neural Network solve)]]

	== Variants ==		== Variants ==

ClemensZeile: /* Variants */

2019-10-14T13:42:03Z

Variants

← Older revision		Revision as of 13:42, 14 October 2019
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	* a terminal constrained formulation, where a violation is penalized via slack variables, see [[Lotka Volterra (terminal constraint violation)]]		* a terminal constrained formulation, where a violation is penalized via slack variables, see [[Lotka Volterra (terminal constraint violation)]]
	* different parameters and start values.		* different parameters and start values.
	* [[Quadrotor helicopter control problem]]

	== Miscellaneous and Further Reading ==		== Miscellaneous and Further Reading ==

ClemensZeile: /* Variants */

2019-10-14T13:07:26Z

Variants

← Older revision		Revision as of 13:07, 14 October 2019
Line 86:		Line 86:
	* a terminal constrained formulation, where a violation is penalized via slack variables, see [[Lotka Volterra (terminal constraint violation)]]		* a terminal constrained formulation, where a violation is penalized via slack variables, see [[Lotka Volterra (terminal constraint violation)]]
	* different parameters and start values.		* different parameters and start values.
			* [[Quadrotor helicopter control problem]]

	== Miscellaneous and Further Reading ==		== Miscellaneous and Further Reading ==

ClemensZeile: /* Variants */

2019-10-14T11:27:39Z

Variants

← Older revision		Revision as of 11:27, 14 October 2019
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	* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]		* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]
	* different fishing control functions that fish an absolute value from the two species, see [[Lotka Volterra absolute fishing problem]]		* different fishing control functions that fish an absolute value from the two species, see [[Lotka Volterra absolute fishing problem]]
			* a terminal constrained formulation, where a violation is penalized via slack variables, see [[Lotka Volterra (terminal constraint violation)]]
	* different parameters and start values.		* different parameters and start values.

ClemensZeile: /* Variants */

2019-10-14T06:34:26Z

Variants

← Older revision		Revision as of 06:34, 14 October 2019
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	* the usage of a different target steady-state, as the one corresponding to <math> w(t) = 1</math> which is <math>(1 + c_1, 1 - c_0)</math>, see [[Lotka Volterra multi-arcs problem]]		* the usage of a different target steady-state, as the one corresponding to <math> w(t) = 1</math> which is <math>(1 + c_1, 1 - c_0)</math>, see [[Lotka Volterra multi-arcs problem]]
	* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]		* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]
			* different fishing control functions that fish an absolute value from the two species, see [[Lotka Volterra absolute fishing problem]]
	* different parameters and start values.		* different parameters and start values.

JohnHedengren: Add GEKKO link

2019-03-13T18:59:17Z

Add GEKKO link

← Older revision		Revision as of 18:59, 13 March 2019
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	* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]		* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]
	* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]		* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]
			* [[:Category:Gekko \| GEKKO Python code]] at [[Lotka Volterra fishing problem (GEKKO)]]
	* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]		* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]
	* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]		* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]

ClemensZeile: /* Variants */

2017-12-21T13:16:15Z

Variants

← Older revision		Revision as of 13:16, 21 December 2017
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	* a prescribed time grid for the control function <bib id="Sager2006" />, see also [[Lotka Volterra fishing problem (AMPL)]],		* a prescribed time grid for the control function <bib id="Sager2006" />, see also [[Lotka Volterra fishing problem (AMPL)]],
	* a time-optimal formulation to get into a steady-state <bib id="Sager2005" />,		* a time-optimal formulation to get into a steady-state <bib id="Sager2005" />,
	* the usage of a different target steady-state, as the one corresponding to <math> w(t) = 1</math> which is <math>(1 + c_1, 1 - c_0)</math>,		* the usage of a different target steady-state, as the one corresponding to <math> w(t) = 1</math> which is <math>(1 + c_1, 1 - c_0)</math>, see [[Lotka Volterra multi-arcs problem]]
	* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]		* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]
	* different parameters and start values.		* different parameters and start values.

ClemensZeile at 12:22, 21 December 2017

2017-12-21T12:22:45Z

← Older revision		Revision as of 12:22, 21 December 2017
Line 81:		Line 81:
	* a time-optimal formulation to get into a steady-state <bib id="Sager2005" />,		* a time-optimal formulation to get into a steady-state <bib id="Sager2005" />,
	* the usage of a different target steady-state, as the one corresponding to <math> w(t) = 1</math> which is <math>(1 + c_1, 1 - c_0)</math>,		* the usage of a different target steady-state, as the one corresponding to <math> w(t) = 1</math> which is <math>(1 + c_1, 1 - c_0)</math>,
	* different fishing control functions for the two species,		* different fishing control functions for the two species, see [[Lotka Volterra Multimode fishing problem]]
	* different parameters and start values.		* different parameters and start values.

JohnHedengren: /* Source Code */ Added APMonitor, alphebetized list

2017-11-20T20:39:13Z

Source Code: Added APMonitor, alphebetized list

← Older revision		Revision as of 20:39, 20 November 2017
Line 63:		Line 63:
	Model descriptions are available in		Model descriptions are available in

			* [[:Category:ACADO \| ACADO code]] at [[Lotka Volterra fishing problem (ACADO)]]
	* [[:Category:AMPL \| AMPL code]] at [[Lotka Volterra fishing problem (AMPL)]]		* [[:Category:AMPL \| AMPL code]] at [[Lotka Volterra fishing problem (AMPL)]]
			* [[:Category:APMonitor \| APMonitor code]] at [[Lotka Volterra fishing problem (APMonitor)]]
			* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]
			* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]
			* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]
			* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]
	* [[:Category:Muscod \| Muscod code]] at [[Lotka Volterra fishing problem (Muscod)]]		* [[:Category:Muscod \| Muscod code]] at [[Lotka Volterra fishing problem (Muscod)]]
	* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]
	* [[:Category:ACADO \| ACADO code]] at [[Lotka Volterra fishing problem (ACADO)]]
	* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]
	* [[:Category:switch \| switch code]] at [[Lotka Volterra fishing problem (switch)]]		* [[:Category:switch \| switch code]] at [[Lotka Volterra fishing problem (switch)]]
	* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]
	* [[:Category:TomDyn/PROPT \| PROPT code]] at [[Lotka Volterra fishing problem (TomDyn/PROPT)]]		* [[:Category:TomDyn/PROPT \| PROPT code]] at [[Lotka Volterra fishing problem (TomDyn/PROPT)]]
	* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]

	== Variants ==		== Variants ==

FelixMueller: /* Mathematical formulation */

2016-07-31T06:57:06Z

Mathematical formulation

← Older revision		Revision as of 06:57, 31 July 2016
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	\begin{array}{llclr}		\begin{array}{llclr}
	\displaystyle \min_{x, w} & x_2(t_f) \\[1.5ex]		\displaystyle \min_{x, w} & x_2(t_f) \\[1.5ex]
	\mbox{s.t.} & \dot{x}_0 & = & x_0 - x_0 x_1 - \; c_0 x_0 \; w, \\		\mbox{s.t.}
			& \dot{x}_0 & = & x_0 - x_0 x_1 - \; c_0 x_0 \; w, \\
	& \dot{x}_1 & = & - x_1 + x_0 x_1 - \; c_1 x_1 \; w, \\		& \dot{x}_1 & = & - x_1 + x_0 x_1 - \; c_1 x_1 \; w, \\
	& \dot{x}_2 & = & (x_0 - 1)^2 + (x_1 - 1)^2, \\[1.5ex]		& \dot{x}_2 & = & (x_0 - 1)^2 + (x_1 - 1)^2, \\[1.5ex]

← Older revision		Revision as of 18:59, 13 March 2019
Line 68:		Line 68:
	* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]		* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]
	* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]		* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]
			* [[:Category:Gekko \| GEKKO Python code]] at [[Lotka Volterra fishing problem (GEKKO)]]
	* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]		* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]
	* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]		* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]

← Older revision		Revision as of 20:39, 20 November 2017
Line 63:		Line 63:
	Model descriptions are available in		Model descriptions are available in

			* [[:Category:ACADO \| ACADO code]] at [[Lotka Volterra fishing problem (ACADO)]]
	* [[:Category:AMPL \| AMPL code]] at [[Lotka Volterra fishing problem (AMPL)]]		* [[:Category:AMPL \| AMPL code]] at [[Lotka Volterra fishing problem (AMPL)]]
			* [[:Category:APMonitor \| APMonitor code]] at [[Lotka Volterra fishing problem (APMonitor)]]
			* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]
			* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]
			* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]
			* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]
	* [[:Category:Muscod \| Muscod code]] at [[Lotka Volterra fishing problem (Muscod)]]		* [[:Category:Muscod \| Muscod code]] at [[Lotka Volterra fishing problem (Muscod)]]
	* [[:Category:Julia/JuMP \| JuMP code]] at [[Lotka Volterra fishing problem (JuMP)]]
	* [[:Category:ACADO \| ACADO code]] at [[Lotka Volterra fishing problem (ACADO)]]
	* [[:Category:Casadi \| Casadi code]] at [[Lotka Volterra fishing problem (Casadi)]]
	* [[:Category:switch \| switch code]] at [[Lotka Volterra fishing problem (switch)]]		* [[:Category:switch \| switch code]] at [[Lotka Volterra fishing problem (switch)]]
	* [[:Category:JModelica \| JModelica code]] at [[Lotka Volterra fishing problem (JModelica)]]
	* [[:Category:TomDyn/PROPT \| PROPT code]] at [[Lotka Volterra fishing problem (TomDyn/PROPT)]]		* [[:Category:TomDyn/PROPT \| PROPT code]] at [[Lotka Volterra fishing problem (TomDyn/PROPT)]]
	* [[:Category:Bocop \| Bocop code]] at [[Lotka Volterra fishing problem (Bocop)]]

	== Variants ==		== Variants ==