## Apps.SimpleExamples History

January 31, 2023, at 09:44 PM by 10.35.117.248 -
Changed line 8 from:
{\begin{align}\mathrm{minimize} \quad & 100-x_1^2-2x_2^2-x_3^2-x_1x_2-x_1x_3 \\ \mathrm{subject\;to}\quad & 8x_1+14x_2+7x_3=56 \\ & x_1^2+x_2^2+x_3^2\geq0 \\ & x_1,x_2,x_3\ge0 \end{align}}
to:
{\begin{align}\mathrm{minimize} \quad & 100-x_1^2-2x_2^2-x_3^2-x_1x_2-x_1x_3 \\ \mathrm{subject\;to}\quad & 8x_1+14x_2+7x_3=56 \\ & x_1^2+x_2^2+x_3^2\geq25 \\ & x_1,x_2,x_3\ge0 \end{align}}
January 31, 2023, at 09:44 PM by 10.35.117.248 -
Changed lines 10-14 from:
* %list list-page% [[Attach:min2.apm | View APMonitor min2.apm]]

(:source lang=python:)
to:
* %list list-page% [[Attach:min2.apm | View APMonitor Solution]]

->
(:source lang=python:)
January 31, 2023, at 09:43 PM by 10.35.117.248 -
Deleted lines 7-10:
* %list list-page% [[Attach:min2.apm | View min2.apm]]

%width=200px%Attach:min2.png

* %list list-page% [[Attach:min2.apm | View APMonitor min2.apm]]
January 31, 2023, at 09:42 PM by 10.35.117.248 -

{\begin{align}\mathrm{minimize} \quad & 100-x_1^2-2x_2^2-x_3^2-x_1x_2-x_1x_3 \\ \mathrm{subject\;to}\quad & 8x_1+14x_2+7x_3=56 \\ & x_1^2+x_2^2+x_3^2\geq0 \\ & x_1,x_2,x_3\ge0 \end{align}}
Changed line 12 from:
to:

(:source lang=python:)
from gekko import GEKKO
m = GEKKO(remote=False)
x1,x2,x3 = m.Array(m.Var,3,lb=0)
m.Minimize(1000-x1**2-2*x2**2-x3**2-x1*x2-x1*x3)
m.Equations([8*x1+14*x2+7*x3==56,
x1**2+x2**2+x3**2>=25])
m.solve(disp=False)
print(x1.value,x2.value,x3.value)
(:sourceend:)
Changed line 10 from:
%width=400px%Attach:min2.png
to:
%width=200px%Attach:min2.png
Changed line 10 from:
Attach:min2.png
to:
%width=400px%Attach:min2.png
Deleted lines 0-1:
!! Tutorial Examples
May 28, 2014, at 11:47 AM by 107.188.175.164 -
Changed lines 1-2 from:
!! Simple Examples
to:
!! Tutorial Examples
Changed lines 6-7 from:
!! Simple test problem with 2 local minima
to:
!!!! Test problem with 2 local minima

----
!!!! Numerical Integration

This problem demonstrates how to numerically integrate a function. In this case, the function of interest is ''x = 2 t'' with an exact solution of ''y = t'^2^' ''.

Attach:integration_model.png

The following Python script runs the model and plots the results:

Attach:integration_script.png

Attach:integration_results.png

May 26, 2010, at 12:08 PM by 158.35.225.240 -
Changed line 3 from:
Models presented below are a test suite of optimization problems.  They are part of the test suite used to verify modifications to the %blue%A%red%P%black%Monitor software.  Users may also find this collection useful  to compare %blue%A%red%P%black%Monitor syntax to other modeling languages, for solver benchmarking, or as example problems in optimization.  Models may be submitted through the %blue%[[https://apmonitor.ath.cx/sandbox/ | online submission platform]].
to:
Models presented below are a test suite of optimization problems.  They are part of the test suite used to verify modifications to the %blue%A%red%P%black%Monitor software.  Users may also find this collection useful  to compare %blue%A%red%P%black%Monitor syntax to other modeling languages, for solver benchmarking, or as example problems in optimization.  Models may be submitted through the (:html:)<a href="/online/view_pass.php">Online Web-based Interface</a>(:htmlend:).
June 23, 2009, at 05:55 PM by 158.35.225.227 -

This optimization problem has 2 local minima.  The two problem solutions are found at (0,0,8) with objective 936.0 (global minimum) and (7,0,0) with objective 951.0.
June 23, 2009, at 05:52 PM by 158.35.225.227 -
!! Simple Examples

Models presented below are a test suite of optimization problems.  They are part of the test suite used to verify modifications to the %blue%A%red%P%black%Monitor software.  Users may also find this collection useful  to compare %blue%A%red%P%black%Monitor syntax to other modeling languages, for solver benchmarking, or as example problems in optimization.  Models may be submitted through the %blue%[[https://apmonitor.ath.cx/sandbox/ | online submission platform]].

----
!! Simple test problem with 2 local minima

* %list list-page% [[Attach:min2.apm | View min2.apm]]

Attach:min2.png

----
!! Hock & Schittkowski Collection

* Link to [[HockSchittkowski | Hock & Schittkowski Collection]] page
* %list list-page% [[Attach:hs.zip | All 119 models in the collection (hs.zip)]]

----