External Links

Work Groups

An incomplete list of work groups interested in aspects of mixed-integer dynamic optimization.

• Mathematical and Computational Optimization, Uni Magdeburg, led by Sebastian Sager
• Optimal Control, Universität der Bundeswehr München, led by Matthias Gerdts
• Discrete Optimization, Uni Erlangen, led by Alexander Martin
• Nonlinear Optimization, Uni Darmstadt, led by Stefan Ulbrich
• Process Dynamics and Operations, Uni Dortmund, led by Sebastian Engell
• Process Systems Engineering, RWTH Aachen, led by Wolfgang Marquardt
• Optimization in Engineering, KU Leuven, led by Moritz Diehl
• Biegler Research Group, Carnegie Mellon, led by Larry Biegler
• Applied Mathematics II, Uni Erlangen, led by Günter Leugering
• Grossmann Research Group, Carnegie Mellon, led by Ignacio Grossmann
• Automatic Control, Lund University, led by Johan Akesson

Feel free to update this list!

Benchmark Libraries

Embedded Optimization and Control

• European FP 7 project EMBOCON

Hybrid Systems

• HYCON network: two benchmark problems have been defined.

Optimal Control

• The PROPT homepage (a matlab toolkit for dynamic optimization using collocation) states over 100 test cases from different applications with their results and computation time.
• With the software package dsoa come currently 77 test problems.
• The ESA provides a test set of global optimization spacecraft trajectory problems and their best putative solutions.
• The COPS library contains around 10 dynamic control and parameter estimation problems
• The OPTPDE collection contains problems in PDE-constrained optimization
• The PDECON collection contains discretized PDE problems in AMPL as part of a larger benchmark effort by Hans Mittelmann

MINLP

• CMU-IBM Cyber-Infrastructure for MINLP collaborative site
• MINLPlib <bibref>Bussieck2003a</bibref>
• GAMSWORLD

Generic Optimization

• CUTEr is a versatile testing environment for optimization and linear algebra solvers.
• NETLIB for linear programming (LP)
• MIPLIB for mixed-integer linear programming (MILP)
• Schittkowski Library <bibref>Schittkowski2002</bibref> for nonlinear programming (LP)

References

[Bussieck2003a]	Bussieck, Michael R.; Drud, Arne Stolbjerg; Meeraus, Alexander (2003): MINLPLib--A Collection of Test Models for Mixed-Integer Nonlinear Programming. INFORMS J. on Computing, 15, 114--119
[Schittkowski2002]	K. Schittkowski (2002): Test problems for nonlinear programming - user's guide. Department of Mathematics, University of Bayreuth.