Apps

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!!!! 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

[[Attach:integration_script.zip | Download integration example problem]]

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.

## Simple Examples

## Apps.SimpleExamples History

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!! ~~Simple~~ Examples

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!! Tutorial Examples

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

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!!!! Test problem with 2 local minima

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!!!! 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

[[Attach:integration_script.zip | Download integration example problem]]

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%[[http~~://~~apmonitor~~.~~ath.cx/sandbox/ | online submission platform]]~~.

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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:).

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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.

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!! 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%[[http://apmonitor.ath.cx/sandbox/ | online submission platform]].

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!! Simple test problem with 2 local minima

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

Attach:min2.png

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!! Hock & Schittkowski Collection

* Link to [[HockSchittkowski | Hock & Schittkowski Collection]] page

* %list list-page% [[Attach:hs.zip | All 119 models in the collection (hs.zip)]]

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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%[[http://apmonitor.ath.cx/sandbox/ | online submission platform]].

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!! Simple test problem with 2 local minima

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

Attach:min2.png

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!! Hock & Schittkowski Collection

* Link to [[HockSchittkowski | Hock & Schittkowski Collection]] page

* %list list-page% [[Attach:hs.zip | All 119 models in the collection (hs.zip)]]

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