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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. 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 <bibref>Sager2011b</bibref>
Sager, S., 'A benchmark library of mixed-integer optimal control problems', Mixed Integer Nonlinear Programming, Eds. J. Lee and S. Leyffer, 2012, pp. 631-670.
A preprint pdf is available.
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Problem characterization (add)via mathematical model - via optimal solution - via application area ODE model - Bang bang - Chattering - AMPL - AMPL using TACO - C code - optimica - Periodicity |
Problems (add)Lotka Volterra fishing problem - Lotka Experimental Design - F-8 aircraft - Calcium - Calcium 2 - Diels-Alder Reaction Experimental Design - Gravity Turn Maneuver - Supermarket refrigeration system - Car testdrive - Fuller's problem - 1D wave - Subway - Truck cruise control - Bioreactor example |
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