Nonlinear Mixed-Integer Dynamic Optimization; Mixed-Integer Nonlinear Programming; Linear Programming ; Simultaneous or One-Shot Methods for DAE and PDE Constrained Nonlinear Optimal Control Problems; Topology Optimization; Numerical Methods for Optimum Experimental Design; Optimization under Uncertainty
Applications in Transport, Aerospace, Chemical and Process Engineering, and Systems Biology
Abstract: Tailorshop: Optimization based Analysis and data Generation tOol Support tool for the computer test scenario "Tailorshop" that is the basis for many psychological studies. Data can be generated, visualized, and provided to optimization solvers.
BibTeX:
@misc{TOBAGO,
author = {S. Sager and H. Diedam and M. Engelhart},
title = {Tailorshop: {O}ptimization {B}ased {A}nalysis and data {G}eneration t{O}ol},
url = {https://sourceforge.net/projects/tobago}
}
Sager, S., Bock, H. & Diehl, M.
The Integer Approximation Error in Mixed-Integer Optimal Control
@article{Sager2011a,
author = {S. Sager and M. Jung and C. Kirches},
title = {Combinatorial Integral Approximation},
journal = {Mathematical Methods of Operations Research},
year = {2011},
note = {(accepted)},
url = {http://mathopt.de/PUBLICATIONS/Sager2011a.pdf}
}
Kirches, C., Bock, H., Schlöder, J. & Sager, S.
Complementary Condensing for the Direct Multiple Shooting Method
Proceedings of the Fourth International Conference on High Performance Scientific Computing: Modeling, Simulation, and Optimization of Complex Processes, Hanoi, Vietnam, March 2--6, 2009
@inproceedings{Kirches2010a,
author = {C. Kirches and H.G. Bock and J.P. Schl\"{o}der and S. Sager},
title = {Complementary Condensing for the Direct Multiple Shooting Method},
booktitle = {Proceedings of the Fourth International Conference on High Performance Scientific Computing: Modeling, Simulation, and Optimization of Complex Processes, Hanoi, Vietnam, March 2--6, 2009},
publisher = {Springer Verlag},
year = {2010},
editor = {H.G. Bock and E. Kostina and H.X. Phu and R. Rannacher},
address = {Berlin Heidelberg New York},
note = {(accepted)},
url = {http://mathopt.de/PUBLICATIONS/Kirches2010a.pdf}
}
Kirches, C., Bock, H., Schlöder, J. & Sager, S.
Block Structured Quadratic Programming for the Direct Multiple Shooting Method for Optimal Control
@article{Kirches2010b,
author = {C. Kirches and H.G. Bock and J.P. Schl\"{o}der and S. Sager},
title = {Block Structured Quadratic Programming for the Direct Multiple Shooting Method for Optimal Control},
journal = {Optimization Methods and Software},
year = {2010},
note = {(available online)},
doi = {http://dx.doi.org/10.1080/10556781003623891}
}
Kirches, C., Sager, S., Bock, H. & Schlöder, J.
Time-optimal control of automobile test drives with gear shifts
@article{Kirches2010,
author = {C. Kirches and S. Sager and H.G. Bock and J.P. Schl\"oder},
title = {Time-optimal control of automobile test drives with gear shifts},
journal = {Optimal Control Applications and Methods},
year = {2010},
volume = {31},
number = {2},
pages = {137--153},
url = {http://mathopt.de/PUBLICATIONS/Kirches2010.pdf}
}
Kirches, C., Wirsching, L., Sager, S. & Bock, H.
Efficient Numerics for Nonlinear Model Predictive Control
@inproceedings{Kirches2010c,
author = {C. Kirches and L. Wirsching and S. Sager and H.G. Bock},
title = {Efficient Numerics for Nonlinear Model Predictive Control},
booktitle = {Proceedings of the 13th Belgian--French--German Conference on Optimization},
year = {2010},
note = {(accepted)},
url = {http://mathopt.de/PUBLICATIONS/Kirches2010c.pdf}
}
Logist, F., Sager, S., Kirches, C. & van Impe, J.
Efficient multiple objective optimal control of dynamic systems with integer controls
@article{Logist2010,
author = {F. Logist and S. Sager and C. Kirches and J.F. van Impe},
title = {Efficient multiple objective optimal control of dynamic systems with integer controls},
journal = {{J}ournal of {P}rocess {C}ontrol},
year = {2010},
volume = {20},
number = {7},
pages = {810--822}
}
Sager, S.
A benchmark library of mixed-integer optimal control problems
@inproceedings{Sager2010f,
author = {Sager, S. and Barth, C. and Diedam, H. and Engelhart, M. and Funke, J.},
title = {Optimization to measure performance in the {T}ailorshop test scenario --- structured {MINLP}s and beyond},
booktitle = {Proceedings {EWMINLP10}},
year = {2010},
pages = {261--269},
address = {CIRM, Marseille}
}
Sager, S.
Reformulations and Algorithms for the Optimization of Switching Decisions in Nonlinear Optimal Control
@article{Sager2009b,
author = {S. Sager},
title = {Reformulations and Algorithms for the Optimization of Switching Decisions in Nonlinear Optimal Control},
journal = {Journal of Process Control},
year = {2009},
volume = {19},
number = {8},
pages = {1238--1247},
url = {http://mathopt.de/PUBLICATIONS/Sager2009b.pdf}
}
Sager, S., Bock, H. & Diehl, M.
The Integer Approximation Error in Mixed-Integer Optimal Control
@article{Sager2009,
author = {S. Sager and G. Reinelt and H.G. Bock},
title = {Direct Methods With Maximal Lower Bound for Mixed-Integer Optimal Control Problems},
journal = {Mathematical Programming},
year = {2009},
volume = {118},
number = {1},
pages = {109--149},
url = {http://mathopt.de/PUBLICATIONS/Sager2009.pdf}
}
Brandt-Pollmann, U., Winkler, R., Sager, S., Moslener, U. & Schlöder, J.
Numerical Solution of Optimal Control Problems with Constant Control Delays
@article{Brandt-Pollmann2008,
author = {Brandt-Pollmann, U. and Winkler, R. and Sager, S. and Moslener, U. and Schl\"oder, J.P.},
title = {Numerical Solution of Optimal Control Problems with Constant Control Delays},
journal = {Computational Economics},
year = {2008},
volume = {31},
number = {2},
pages = {181--206},
url = {http://mathopt.uni-hd.de/PUBLICATIONS/Brandt-Pollmann2008.pdf}
}
Grüne, L., Sager, S., Allgöwer, F., Bock, H. & Diehl, M.
Vorausschauend planen, gezielt handeln -- über die Regelung und Steuerung technischer Prozesse
@inbook{Gruene2008,
author = {L. Gr\"une and S. Sager and F. Allg\"ower and H.G. Bock and M. Diehl},
title = {Produktionsfaktor {Mathematik}},
chapter = {Vorausschauend planen, gezielt handeln -- \"uber die {R}egelung und {S}teuerung technischer {P}rozesse},
publisher = {acatech},
year = {2008},
editor = {M. Gr\"otschel and K. Lucas and V. Mehrmann},
pages = {27--62},
note = {ISSN 1861-9924, ISBN 978-3-540-89434-6},
url = {http://mathopt.de/PUBLICATIONS/Gruene2008.pdf}
}
Sager, S., Bock, H. & Diehl, M.
Solving Mixed-integer Control Problems by Sum Up Rounding With Guaranteed Integer Gap
@techreport{Sager2008,
author = {S. Sager and H.G. Bock and M. Diehl},
title = {Solving Mixed-integer Control Problems by Sum Up Rounding With Guaranteed Integer Gap},
year = {2008},
url = {http://www.ub.uni-heidelberg.de/archiv/8384}
}
Sager, S., Kirches, C. & Bock, H.
Fast solution of periodic optimal control problems in automobile test-driving with gear shifts
@inproceedings{Sager2008a,
author = {S. Sager and C. Kirches and H.G. Bock},
title = {Fast solution of periodic optimal control problems in automobile test-driving with gear shifts},
booktitle = {Proceedings of the 47th {IEEE} Conference on Decision and Control ({CDC} 2008), Cancun, Mexico},
year = {2008},
pages = {1563--1568},
note = {ISBN: 978-1-4244-3124-3},
url = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=4739014},
doi = {http://dx.doi.org/10.1109/CDC.2008.4739014}
}
Shaik, O., Sager, S., Slaby, O. & Lebiedz, D.
Phase tracking and restoration of circadian rhythms by model-based optimal control
@article{Shaik2008,
author = {Shaik, O.S. and Sager, S. and Slaby, O. and Lebiedz, D.},
title = {Phase tracking and restoration of circadian rhythms by model-based optimal control},
journal = {IET Systems Biology},
year = {2008},
volume = {2},
pages = {16--23}
}
Sager, S.
Von diskreten Mathematikern und Wanderungen im Gebirge
@article{Sager2007a,
author = {S. Sager and U. Brandt-Pollmann and M. Diehl and D. Lebiedz and H.G. Bock},
title = {Exploiting system homogeneities in large scale optimal control problems for speedup of multiple shooting based {SQP} methods},
journal = {Computers and Chemical Engineering},
year = {2007},
volume = {31},
pages = {1181--1186}
}
Sager, S., Diehl, M., Singh, G., Küpper, A. & Engell, S.
Determining SMB superstructures by mixed-integer control
@inproceedings{Sager2007,
author = {S. Sager and M. Diehl and G. Singh and A. K\"upper and S. Engell},
title = {Determining {SMB} superstructures by mixed-integer control},
booktitle = {Proceedings OR2006},
publisher = {Springer},
year = {2007},
editor = {K.-H. Waldmann and U.M. Stocker},
pages = {37--44},
address = {Karlsruhe}
}
Slaby, O., Sager, S., Shaik, O., Kummer, U. & Lebiedz, D.
Optimal control of self-organized dynamics in cellular signal transduction
Mathematical and Computational Modelling of Dynamical Systems
article
BibTeX:
@article{Slaby2007,
author = {Slaby, O. and Sager, S. and Shaik, O.S. and Kummer, U. and Lebiedz, D.},
title = {Optimal control of self-organized dynamics in cellular signal transduction},
journal = {Mathematical and Computational Modelling of Dynamical Systems},
year = {2007},
volume = {13},
number = {5},
pages = {487--502}
}
Brandt-Pollmann, U., Winkler, R., Sager, S., Moslener, U. & Schlöder, J.
Numerical Solution of Optimal Control Problems with Constant Control Delays
@techreport{Brandt-Pollmann2006,
author = {Brandt-Pollmann, U. and Winkler, R. and Sager, S. and Moslener, U. and Schl\"oder, J.P.},
title = {Numerical Solution of Optimal Control Problems with Constant Control Delays},
year = {2006},
note = {available at http://ssrn.com/abstract=948137},
url = {http://ssrn.com/abstract=948137}
}
König, R., Schramm, G., Oswald, M., Seitz, H., Sager, S., Zapatka, M., Reinelt, G. & Eils, R.
Discovering functional gene expression patterns in the metabolic network of Escherichia coli with wavelets transforms
@article{Koenig2006,
author = {R. K\"onig and G. Schramm and M. Oswald and H. Seitz and S. Sager and M. Zapatka and G. Reinelt and R. Eils},
title = {Discovering functional gene expression patterns in the metabolic network of Escherichia coli with wavelets transforms},
journal = {BMC Bioinformatics},
year = {2006},
volume = {7},
pages = {119},
url = {http://www.biomedcentral.com/1471-2105/7/119}
}
Lebiedz, D., Sager, S., Shaik, O. & Slaby, O.
Optimal control of self-organized dynamics in cellular signal transduction
@inproceedings{Lebiedz2006,
author = {D. Lebiedz and S. Sager and O.S. Shaik and O. Slaby},
title = {Optimal control of self-organized dynamics in cellular signal transduction},
booktitle = {Proceedings of the 5th {MATHMOD} conference},
year = {2006},
series = {{ARGESIM}-Reports, {ISBN} 3-901608-25-7},
address = {Vienna}
}
Sager, S.
Numerische Methoden für Probleme der gemischt-ganzzahligen Optimalen Steuerung
@phdthesis{Sager2006b,
author = {Sager, S.},
title = {Numerical methods for mixed--integer optimal control problems},
school = {Universit\"at Heidelberg},
year = {2006},
url = {http://sager1.de/sebastian/downloads/Sager2005.pdf}
}
Sager, S., Bock, H., Diehl, M., Reinelt, G. & Schlöder, J.
Numerical methods for optimal control with binary control functions applied to a Lotka-Volterra type fishing problem
Recent Advances in Optimization (Proceedings of the 12th French-German-Spanish Conference on Optimization)
inproceedings
BibTeX:
@inproceedings{Sager2006,
author = {S. Sager and H.G. Bock and M. Diehl and G. Reinelt and J.P. Schl\"oder},
title = {Numerical methods for optimal control with binary control functions applied to a {L}otka-{V}olterra type fishing problem},
booktitle = {Recent Advances in Optimization (Proceedings of the 12th {F}rench-{G}erman-{S}panish Conference on Optimization)},
publisher = {Springer},
year = {2006},
editor = {A. Seeger},
volume = {563},
series = {Lectures Notes in Economics and Mathematical Systems},
pages = {269--289},
address = {Heidelberg}
}
Brandt-Pollmann, U., Lebiedz, D., Diehl, M., Sager, S. & Schlöder, J.
Real-time nonlinear feedback control of pattern formation in (bio)chemical reaction--diffusion processes: A model study
@article{Brandt-Pollmann2005a,
author = {Brandt-Pollmann, U. and Lebiedz, D. and Diehl, M. and Sager, S. and Schl\"oder, J.P.},
title = {Real-time nonlinear feedback control of pattern formation in (bio)chemical reaction--diffusion processes: {A} model study},
journal = {Chaos},
year = {2005},
volume = {15},
pages = {033901},
note = {selected for online-publication in Virtual Journal of Biological Physics Research, July 15, 2005}
}
Körkel, S., Qu, H., Rücker, G. & Sager, S.
Derivative Based vs. Derivative Free Optimization Methods for Nonlinear Optimum Experimental Design
Proceedings of HPCA2004 Conference, August 8-10, 2004
inproceedings
BibTeX:
@inproceedings{Koerkel2005,
author = {K\"orkel, S. and Qu, H. and R\"ucker, G. and Sager, S.},
title = {Derivative Based vs. Derivative Free Optimization Methods for Nonlinear Optimum Experimental Design},
booktitle = {Proceedings of HPCA2004 Conference, August 8-10, 2004},
publisher = {Springer},
year = {2005},
pages = {339--345},
address = {Shanghai}
}
Lebiedz, D., Sager, S., Bock, H. & Lebiedz, P.
Annihilation of limit cycle oscillations by identification of critical phase resetting stimuli via mixed-integer optimal control methods
@article{Lebiedz2005,
author = {Lebiedz, D. and Sager, S. and Bock, H.G. and Lebiedz, P.},
title = {Annihilation of limit cycle oscillations by identification of critical phase resetting stimuli via mixed-integer optimal control methods},
journal = {Physical Review Letters},
year = {2005},
volume = {95},
pages = {108303}
}
Sager, S.
Numerical methods for mixed--integer optimal control problems