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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. | 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 <bib id="Sager2012b" /> | + | 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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<!-- TOP TABLE WITH NEWS --> | <!-- TOP TABLE WITH NEWS --> | ||
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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>== | ==[[:Category:Problem characterization|Problem characterization]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a problem characterization|(add)]]</span>== | ||
| − | via ''[[:Category:Application|application area]]'' - | + | *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]] |
| − | ''[[:Category: | + | *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:Optimum_Experimental_Design | OED]] - [[: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>== | ==Direct links to [[:Category:MIOCP|Problems]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a Problem|(add)]]</span>== | ||
| − | [[Bang-bang approximation of a traveling wave | 1D wave]] - [[Bioreactor]] - [[Annihilation of calcium oscillations | Calcium]] - [[Annihilation of calcium oscillations with PLC activation inhibition| Calcium 2]] - [[Car testdrive]] - [[Diels-Alder Reaction Experimental Design | Diels-Alder OED]] - [[Double Tank]] - [[F-8 aircraft]] - [[Fuller's problem]] - [[Gravity Turn Maneuver | Gravity Turn]] - [[Controlled Heating | Heating]] | + | [[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]] - [[DOW Experimental Design | DOW OED]] - [[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:Community|Community]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a User|(add)]]</span>== | ==[[:Category:Community|Community]] <span style="font-variant:small-caps" style="font-size:10px">[[Help:Adding a User|(add)]]</span>== | ||
| − | [[:Category:Community|Contributors]] - ''[[External Links]]'' | + | [[:Category:Community|Contributors]] - ''[[External Links]]'' - ''Feel encouraged to participate!'' |
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| − | ''Feel encouraged to participate!'' | + | |
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</table> | </table> | ||
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| + | == References == | ||
| + | <biblist /> | ||
[[Category:Main]] | [[Category:Main]] | ||
Latest revision as of 10:06, 24 September 2024
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
, of which a preprint pdf is available.
News (add)
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Problem characterization (add)
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Direct links to Problems (add)1D wave - Actuator Placement - Bioreactor - Batch reactor - Calcium - Calcium 2 - Car testdrive - Cushioned Oscillation - Diels-Alder OED - Double Tank - DOW OED - 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) |
Community (add)Contributors - External Links - Feel encouraged to participate! |
References
| [Sager2012b] | S. Sager (2012): A benchmark library of mixed-integer optimal control problems. Springer, Mixed Integer Nonlinear Programming | |
