Difference between revisions of "Main Page"

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This page is under construction.  
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__NOTOC__
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This wiki contains a '''benchmark library''' of '''mixed-integer optimal control problems'''. The main intention is to provide algorithm developers with a set of challenging problems to evaluate their numerical optimization methods. An important focus is given on '''reproducibility''' of optimal solutions.
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As, in contrast to say linear programming, there are no standard formats for the formulation of such problems, and they often show completely different characteristics, these pages dedicate some space for a thorough description of problem and solutions.
  
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This wiki contains a benchmark library of mixed-integer optimal control problems.
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A more detailed description of the underlying concepts of this library can be found in the article <bib id="Sager2012b" />, of which a [http://mathopt.de/PUBLICATIONS/Sager2012b.pdf preprint pdf] is available.
  
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The first problem in the database is the [[Lotka Volterra fishing problem]].
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<!-- TOP TABLE WITH NEWS  -->
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==[[:Category:News|News]] <span style="font-variant:small-caps" style="font-size:10px">[[Current News|(add)]]</span>==
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{{Current News}}
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</table>
  
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A categorized list of all problems is available [[:Special:Categories|here]].
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Updates might be available soon. Hopefully.
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==[[:Category:Problem characterization|Problem characterization]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a problem characterization|(add)]]</span>==
  
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*via ''[[:Category:Application|application area]]'', e.g., [[:Category: Aeronautics | Aeronautics]] - [[:Category: Chemical engineering | Chemical engineering]] - [[:Category:Medicine | Medicine]] - [[:Category:Systems biology | Systems biology]] - [[:Category:Transport | Transport]]
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*via ''[[:Category:Model characterization|mathematical model]]'', e.g., [[:Category: ODE model | ODE]], [[:Category: PDE model | PDE]] or [[:Category: DAE model | DAE model]] - [[:Category:GIOC | GIOC]] - [[:Category: Multistage process | Multistage process]] - [[:Category: State dependent switches | State dependent switches]]
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*via ''[[:Category:Solution characterization|optimal solution]]'', e.g., [[:Category: Bang bang | Bang bang]] - [[:Category: Chattering | Chattering]] - [[:Category: Sensitivity-seeking arcs | Sensitivity-seeking arcs]]
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*via ''[[:Category: Implementation | implementation]], e.g., [[:Category: ACADO | ACADO]] - [[:Category: AMPL | AMPL]] - [[:Category: AMPL/TACO | AMPL with TACO]] - [[:Category:Casadi | Casadi]] - [[:Category: Switch | Switch]]
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==Direct links to [[:Category:MIOCP|Problems]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a Problem|(add)]]</span>==
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[[Bang-bang approximation of a traveling wave | 1D wave]] - [[Control of Heat Equation with Actuator Placement | Actuator Placement]] - [[Bioreactor]] - [[Batch reactor]] - [[Annihilation of calcium oscillations | Calcium]] - [[Annihilation of calcium oscillations with PLC activation inhibition| Calcium 2]] - [[Car testdrive]] - [[Cushioned Oscillation]] - [[Diels-Alder Reaction Experimental Design | Diels-Alder OED]] - [[Double Tank]] - [[Electric Car]] - [[F-8 aircraft]] - [[Fuller's problem]] - [[Gravity Turn Maneuver | Gravity Turn]] - [[Controlled Heating | Heating]] - [[Industrial robot]] - [[Lotka Volterra fishing problem | Lotka]] - [[Lotka Experimental Design | Lotka OED]] - [[Van der Pol Oscillator | Oscillator]] - [[Oil Shale Pyrolysis | Pyrolysis]] - [[Goddart's rocket problem | Rocket]] - [[Source Inversion]] - [[Subway ride | Subway]] - ''[[Supermarket refrigeration system | Supermarket]] - [[Truck cruise control | Truck]]''
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==[[:Category:Help|Help]] <span style="font-variant:small-caps" style="font-size:10px">[[User:SebastianSager|(contact)]]</span>==
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''[[Help:How to contribute|How to contribute]]'' - ''[[Help:How to cite|How to cite]]'' - ''[[Help:Using LaTeX|LaTeX]]'' - ''[[Help:Description guidelines | Guidelines]]
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==[[:Category:Community|Community]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a User|(add)]]</span>==
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[[:Category:Community|Contributors]] - ''[[External Links]]'' - ''Feel encouraged to participate!''
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== References ==
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<biblist />
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[[Category:Main]]

Latest revision as of 15:21, 19 October 2023

This wiki contains a benchmark library of mixed-integer optimal control problems. The main intention is to provide algorithm developers with a set of challenging problems to evaluate their numerical optimization methods. An important focus is given on reproducibility of optimal solutions. As, in contrast to say linear programming, there are no standard formats for the formulation of such problems, and they often show completely different characteristics, these pages dedicate some space for a thorough description of problem and solutions.

A more detailed description of the underlying concepts of this library can be found in the article [Sager2012b]Author: S. Sager
Booktitle: Mixed Integer Nonlinear Programming
Editor: J. Lee and S. Leyffer
Pages: 631--670
Publisher: Springer
Title: A benchmark library of mixed-integer optimal control problems
Url: http://mathopt.de/PUBLICATIONS/Sager2012b.pdf
Year: 2012
Link to Google Scholar, of which a preprint pdf is available.

News (add)

2023/10/19: Added new category generalized inverse optimal control
2023/10/19: Added LinearMetabolic problem

Problem characterization (add)

Direct links to Problems (add)

1D wave - Actuator Placement - Bioreactor - Batch reactor - Calcium - Calcium 2 - Car testdrive - Cushioned Oscillation - Diels-Alder OED - Double Tank - Electric Car - F-8 aircraft - Fuller's problem - Gravity Turn - Heating - Industrial robot - Lotka - Lotka OED - Oscillator - Pyrolysis - Rocket - Source Inversion - Subway - Supermarket - Truck

Help (contact)

How to contribute - How to cite - LaTeX - Guidelines

Community (add)

Contributors - External Links - Feel encouraged to participate!

References

There were no citations found in the article.

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