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Bild_Prof.Stein

Prof. Dr. Oliver Stein

room: 104
phone: +49 721 608-46782
fax: +49 721 608-45440
steinHep0∂kit edu

building: 20.13


Consultation hours

In lectures period:
Tuesday from 14:00 to 15:00

 

Off lectures period:
only by appointment

Research interest

  • Optimization methods and their theoretical foundation
  • Robust and Semi-infinite Optimization
  • Generalized Nash Games
  • Parametric Optimization
  • Mixed Integer Nonlinear Programming

Publications

 

Google Scholar

 

Research Publications

 

[ Editor | Submitted | Journals | Proceedings | Books and Lecture Notes | Book Contributions | Others | Reviews ]

 

Editor for the Following Journals:

  • Mathematical Methods of Operations Research (editor-in-chief 2015- , member of editorial board 2009-2014).
  • Journal of Global Optimization (member of editorial board 2009-2014).
  • Optimization (member of editorial board, 2011-2014).
  • Pacific Journal of Optimization, Volume 9, Number 2 (2013) (Special issue on "Equilibrium Optimization" - guest editor).
  • Mathematical Programming, Series B, Volume 136, Issue 1 (2012) (Issue on "Parametric Optimization - Recent Advances" - guest editor).
  • Central European Journal of Operations Research, Volume 16, Number 2 (2008) (Special issue on "Advances in Continuous Optimization" - guest editor).
  • Czech Economic Review (member of editorial board 2008- ).

 

Submitted for Publication:

 

Publications in Refereed Journals:

53    O. Stein, Error bounds for mixed integer nonlinear optimization problems, Optimization Letters, Vol. 10 (2016), 1153-1168.
52    P. Kirst, O. Stein, Solving disjunctive optimization problems by generalized semi-infinite optimization techniques, Journal of Optimization Theory and Applications, Vol. 169 (2016), 1079-1109.
51    O. Stein, N. Sudermann-Merx, The cone condition and nonsmoothness in linear generalized Nash games, Journal of Optimization Theory and Applications, 2015, DOI 10.1007/s10957-015-0779-8.
50    P. Kirst, O. Stein, P. Steuermann, Deterministic upper bounds for spatial branch-and-bound methods in global minimization with nonconvex constraints, TOP, Vol. 23 (2015), 591-616.
49    T. Bajbar, O. Stein, Coercive polynomials and their Newton polytopes, SIAM Journal on Optimization, Vol. 25 (2015), 1542-1570. This example by Sönke Behrends shows that the implication in Lemma 2.2 may not be reversed.
48    O. Stein, Error bounds for mixed integer linear optimization problems, Mathematical Programming, Vol. 156 (2016), 101-123.
47    O. Stein, N. Sudermann-Merx, On smoothness properties of optimal value functions at the boundary of their domain under complete convexity, Mathematical Methods of Operations Research, Vol. 79 (2014), 327-352.
46    N. Harms, C. Kanzow, O. Stein, Smoothness properties of a regularized gap function for quasi-variational inequalities, Optimization Methods and Software, Vol. 29 (2014), 720-750.
45    O. Stein, P. Steuermann, On smooth relaxations of obstacle sets, Optimization and Engineering, Vol. 15 (2014), 3-33.
44    O. Stein, Twice differentiable characterizations of convexity notions for functions on full dimensional convex sets, Schedae Informaticae, Vol. 21 (2012), 55-63.
43    N. Harms, C. Kanzow, O. Stein, On differentiability properties of player convex generalized Nash equilibrium problems, Optimization, Vol. 64 (2015), 365-388.
42    O. Stein, How to solve a semi-infinite optimization problem, European Journal of Operational Research, Vol. 223 (2012), 312-320.
41    M. Diehl, B. Houska, O. Stein, P. Steuermann, A lifting method for generalized semi-infinite programs based on lower level Wolfe duality, Computational Optimization and Applications, Vol. 54 (2013), 189-210.
40    O. Stein, P. Steuermann, The adaptive convexification algorithm for semi-infinite programming with arbitrary index sets, Mathematical Programming, Ser. B, Vol. 136 (2012), 183-207.
39    V. Shikhman, O. Stein, On jet-convex functions and their tensor products, Optimization, Vol. 61 (2012), 717-731.
38    A. Dreves, C. Kanzow, O. Stein, Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems, Journal of Global Optimization, Vol. 53 (2012), 587-614.
37    D. Dorsch, V. Shikhman, O. Stein, Mathematical programs with vanishing constraints: critical point theory, Journal of Global Optimization, Vol. 52 (2012), 591-605.
36    D. Ralph, O. Stein, The C-index: a new stability concept for quadratic programs with complementarity constraints, Mathematics of Operations Research, Vol. 36 (2011), 504-526.
35    O. Stein, Lifting mathematical programs with complementarity constraints, Mathematical Programming, Vol. 131 (2012), 71-94.
34    O. Stein, A. Winterfeld, A feasible method for generalized semi-infinite programming, Journal of Optimization Theory and Applications, Vol. 146 (2010), 419-443.
33    O. Stein, A. Tezel, The semismooth approach for semi-infinite programming without strict complementarity, SIAM Journal on Optimization, Vol. 20 (2009), 1052-1072.
32    H. Günzel, H. Th. Jongen, O. Stein, Generalized semi-infinite programming: on generic local minimizers, Journal of Global Optimization, Vol. 42 (2008), 413-421.
31    V. Shikhman, O. Stein, Constrained optimization: projected gradient flows, Journal of Optimization Theory and Applications, Vol. 140 (2009), 117–130.
30   

H. Th. Jongen, O. Stein, Smoothing by mollifiers. Part II: Nonlinear optimization, Journal of Global Optimization, Vol. 41 (2008), 335-350.

29    H. Th. Jongen, O. Stein, Smoothing by mollifiers. Part I: Semi-infinite optimization, Journal of Global Optimization, Vol. 41 (2008), 319-334.
28    H. Günzel, H. Th. Jongen, O. Stein, Generalized semi-infinite programming: the Symmetric Reduction Ansatz, Optimization Letters, Vol. 2 (2008), 415-424.
27    O. Stein, A. Tezel, The semismooth approach for semi-infinite programming under the Reduction Ansatz, Journal of Global Optimization, Vol. 41 (2008), 245-266.
26    H. Günzel, H. Th. Jongen, O. Stein, On the closure of the feasible set in generalized semi-infinite programming, Central European Journal of Operations Research, Vol. 15 (2007), 271-280.
25    C. A. Floudas, O. Stein, The adaptive convexification algorithm: a feasible point method for semi-infinite programming, SIAM Journal on Optimization, Vol. 18 (2007), 1187-1208.
24    S. D. Flåm, H. Th. Jongen, O. Stein, Slopes of shadow prices and Lagrange multipliers, Optimization Letters, Vol. 2 (2008), 143-155.
23    F. Guerra Vázquez, J.-J. Rückmann, O. Stein, G. Still, Generalized semi-infinite programming: a tutorial, Journal of Computational and Applied Mathematics, Vol. 217 (2008), 394-419.
22    J. Guddat, L. Neralic, O. Stein, Sensitivity analysis of the proportionate change of a subset of outputs or/and inputs in data envelopment analysis, Mathematical Communications, Vol. 11 (2006), 187-201.
21    O. Stein, On Karush-Kuhn-Tucker points for a smoothing method in semi-infinite optimization, Journal of Computational Mathematics, Vol. 24 (2006), 719-732.
20    O. Stein, M. Winkler, Amorphous molecular beam epitaxy: global solutions and absorbing sets, European Journal of Applied Mathematics, Vol. 16 (2005), 767-798.
19    O. Stein, J. Oldenburg, W. Marquardt, Continuous reformulations of discrete-continuous optimization problems, Computers and Chemical Engineering, Vol. 28 (2004), 1951-1966.
18    L. Neralic, O. Stein, On regular and parametric data envelopment analysis, Mathematical Methods of Operations Research, Vol. 60 (2004), 15-28.
17    O. Stein, On constraint qualifications in non-smooth optimization, Journal of Optimization Theory and Applications, Vol. 121 (2004), 647-671.
16    B. B. King, O. Stein, M. Winkler, A fourth order parabolic equation modeling epitaxial thin film growth, Journal of Mathematical Analysis and Applications, Vol. 286 (2003), 459-490.
15    H. Th. Jongen, O. Stein, On the complexity of equalizing inequalities, Journal of Global Optimization, Vol. 27 (2003), 367-374.
14    O. Stein, G. Still, Solving semi-infinite optimization problems with interior point techniques, SIAM Journal on Control and Optimization, Vol. 42 (2003), 769-788.
13    O. Stein, G. Still, On generalized semi-infinite optimization and bilevel optimization, European Journal of Operational Research, Vol. 142 (2002), 444-462.
12    H. Th. Jongen, O. Stein, Nonconvex optimization: gradient flows and deformation, Journal on Dynamical and Control Systems, Vol. 7 (2001), 425-446.
11    O. Stein, The role of the transition function in a continuum model for kinetic roughening and coarsening in thin films, Materials Science in Semiconductor Processing, Vol. 4 (2001), 405-416.
10    O. Stein, First order optimality conditions for degenerate index sets in generalized semi-infinite programming, Mathematics of Operations Research, Vol. 26 (2001), 565-582.
  9    J.-J. Rückmann, O. Stein, On linear and linearized generalized semi-infinite optimization problems, Annals of Operations Research, Vol. 101 (2001), 191-208.
  8    O. Stein, A note on the dual description of projected polytopes, Investigación Operacional, Vol. 22 (2001), 139-144.
  7    A. Jess, H. Th. Jongen, L. Neralic, O. Stein, A semi-infinite programming model in data envelopment analysis, Optimization, Vol. 49 (2001), 369-385.
  6    O. Stein, G. Still, On optimality conditions for generalized semi-infinite programming problems, Journal of Optimization Theory and Applications, Vol. 104 (2000), 443-458.
  5    O. Stein, On level sets of marginal functions, Optimization, Vol. 48 (2000), 43-67.
  4    H. Th. Jongen, O. Stein, On generic one-parametric semi-infinite optimization, SIAM Journal on Optimization, Vol. 7 (1997), 1103-1137.
  3    H. Th. Jongen, J.-J. Rückmann, O. Stein, Generalized semi-infinite optimization: a first order optimality condition and examples, Mathematical Programming, Vol. 83 (1998), 145-158.
  2    H. Th. Jongen, J.-J. Rückmann, O. Stein, Disjunctive optimization: critical point theory, Journal of Optimization Theory and Applications, Vol. 93 (1997), 321-336.
  1    O. Stein, Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods, IMA Journal of Numerical Analysis, Vol. 17 (1997), 151-175.

 

Publications in Refereed Proceedings Volumes:

 

Books and Lecture Notes:

  • S. Nickel, O. Stein, K.-H. Waldmann, Operations Research, Springer-Gabler, 2014.
  • O. Stein, On Parametric Semi-infinite Optimization, Shaker, Aachen, 1997.
  • O. Stein, Bi-level Strategies in Semi-infinite Programming, Kluwer Academic Publishers, Boston, 2003.
  • O. Stein, Parametrische Optimierung, FernUniversität in Hagen, 2004.
  • O. Stein, Parametrische Optimierung, Karlsruhe Institute of Technology, 2014.
  • O. Stein, Gemischt-ganzzahlige Optimierung I und II, Karlsruhe Institute of Technology, 2015.
  • O. Stein, Globale Optimierung I und II, Karlsruhe Institute of Technology, 2015.
  • O. Stein, Konvexe Analysis, Karlsruhe Institute of Technology, 2015.
  • O. Stein, Nichtlineare Optimierung I und II, Karlsruhe Institute of Technology, 2015.

 

Contributions to Books:

 

Other Publications:

 

Reviews:

Please click here for a list of reviews by Oliver Stein (MathSciNet access required).

If you are interested in any of the papers which are not electronically available, please mail your complete address to Prof. Dr. Oliver Stein .

Talks

 

Popular Science Talks

  • 13.08.15: Wie oft passt der Mond in die Erde?, KIT Kinder-Uni (KIT Children's University), KIT.
  • 18.01.12: Von generischen Optimierungsproblemen zu geschliffenen Edelsteinen, Inaugural Lecture, Faculty of Mathematics, KIT.
  • 29.04.09: Brauchbare Antworten auf OR-Fragen, Inaugural Lecture, Faculty of Economics and Business Engineering, KIT.
  • 18.12.07: Size matters - Wie uns Operations Research zu größeren Edelsteinen verhilft, Uni im Rathaus, Karlsruhe.

 

Scientific Talks in the Past Five Years

[ Conferences | Seminars and Colloquia ]
 

Talks in Conferences

  • 02.07.16: Solving disjunctive optimization problems by generalized semi-infinite optimization techniques, 14th EUROPT Workshop on Advances in Continuous Optimization, Warsaw, Poland, July 1 - 2, 2016.
  • 07.04.16: Plenary talk "Coercive polynomials and their Newton polytopes", SIGOPT 2016, Trier, Germany, April 6 - 8, 2016.
  • 06.03.16: Continuous Optimization in Operations Research, DFG-AIMS Workshop 2016, Dakar, Senegal, March 6 - 7, 2016.
  • 04.09.15: Error bounds for nonlinear granular optimization problems, OR 2015, Vienna, Austria, September 1 - 4, 2015.
  • 17.07.15: Error bounds for nonlinear granular optimization problems, 22nd International Symposium on Mathematical Programming, Pittsburgh, USA, July 12 - 17, 2015.
  • 10.07.15: Coercive polynomials and their Newton polytopes, 13th EUROPT Workshop on Advances in Continuous Optimization, Edinburgh, Great Britain, July 8 - 10, 2015.
  • 20.10.14: Topologically relevant stationarity concepts, Workshop on Bilevel Optimal Control, Heidelberg, Germany, October 20 - 22, 2014.
  • 03.09.14: Error bounds for granular optimization problems, OR 2014, Aachen, Germany, September 2 - 5, 2014.
  • 06.08.14: Topologically relevant stationarity concepts, 6th International Conference on Complementarity Problems (ICCP), Berlin, Germany, July 4 - 8, 2014.
  • 11.07.14: Error bounds for granular optimization problems, 12th EUROPT Workshop on Advances in Continuous Optimization, Perpignan, France, July 10 - 12, 2014.
  • 30.07.13: Smoothness properties of a regularized gap function for quasi-variational inequalities, 4th International Conference on Continuous Optimization (ICCOPT), Lisbon, Portugal, July 27 - August 1, 2013.
  • 26.06.13: Smoothness properties of a regularized gap function for quasi-variational inequalities, 11th EUROPT Workshop on Advances in Continuous Optimization, Firenze, Italy, June 26 - 28, 2013.
  • 20.08.12: On differentiability properties of player convex generalized Nash equilibrium problems, 21st International Symposium on Mathematical Programming, Berlin, Germany, August 19 - 24, 2012.
  • 13.11.11: Plenary talk "The T-stationarity concept in nonsmooth optimization", 5th German Polish Conference on Optimization Methods and Applications, Krakow, Poland, November 9 - 13, 2011.
  • 14.07.11: Solving MPCC feasibility problems as smooth systems of equations, IFORS 2011, Melbourne, Australia, July 10 - 15, 2011.
  • 08.07.11: On jet-convex functions, 9th EUROPT Workshop on Advances in Continuous Optimization, Ballarat, Australia, July 8 - 9, 2011.
  • 16.06.11: Solving nonlinear complementarity problems as smooth systems of equations, SIGOPT 2011, Lambrecht, Germany, June 15 - 17, 2011.
  • 19.05.11: On the concept of T-stationarity in MPCC and MPVC, SIAM Conference on Optimization, Darmstadt, Germany, May 16 - 19, 2011.
  • 10.02.11: On gemstones and maneuverability problems: applications of modern design centering techniques, Workshop on Advances in Nonlinear Optimization, Heidelberg, Germany, February 10, 2011.

 

Talks in Seminars and Colloquia

  • 17.11.15: Solving smooth Nash equilibrium problems by nonsmooth optimization, Augsburger Mathematisches Kolloquium, University of Augsburg, Augsburg, Germany.
  • 07.05.15: Coercive polynomials and their Newton polytopes, University of Groningen, The Netherlands.
  • 07.07.13: A lifting method for generalized semi-infinite programs based on lower level Wolfe duality, IOR-ITWM Workshop 2013, Annweiler, Germany, July 7 - 8, 2013.
  • 29.04.13: On differentiability properties of Nash equilibrium problems, Optimization and Applications Seminar, ETH Zürich and University of Zürich, Zürich, Switzerland.
  • 19.03.13: On differentiability properties of Nash equilibrium problems, Mathematical Programming Seminar, Center for Operations Research and Econometrics, Université Catholique de Louvain, Louvain-la-Neuve, Belgium.
  • 18.01.13: On differentiability properties of Nash equilibrium problems, Kolloquium Mathematische Optimierung, University of Trier, Trier, Germany.
  • 10.03.12: Die Geometrie der Optimierung und ihre Anwendung in den Wirtschaftswissenschaften, Tag der Mathematik, Karlsruhe Institute of Technology, Karlsruhe, Germany.
  • 23.02.12: A lifting method for generalized semi-infinite programs based on lower level Wolfe duality, Mathematical Colloquium, Institute of Mathematics, Ilmenau University of Technology, Ilmenau, Germany.

Previous courses

Previous courses at KIT / University of Karlsruhe:

Please check at Studium und Lehre (in german).

 

Previous courses outside of KIT / University of Karlsruhe (in german):

Wintersemester 2005/06 (an der Middle East Technical University Ankara)

  • Modern Concepts in Semi-infinite Optimization

Sommersemester 2005 (an der RWTH Aachen)

Wintersemester 2004/05 (an der Universität Duisburg-Essen)

  • Optimierung III (Nichtlineare Optimierung)
  • Übungen zur Optimierung III
  • Programmierseminar zur Optimierung III

Sommersemester 2004 (an der RWTH Aachen)

Wintersemester 2003/04 (an der RWTH Aachen)

Sommersemester 2003 (an der RWTH Aachen)

Wintersemester 2002/03 (an der RWTH Aachen)

Sommersemester 2002 (an der TU Chemnitz)

  • Mathematik II (Teil 2) (für Elektro- und Informationstechniker)
  • Parametrische Optimierung

Curriculum vitae

Professional Experience: 10/2010 - Co-opted member of the Faculty of Mathematics, KIT
  07/2010 - Lecturer at the KIT School of Energy
  10/2008 - 09/2014: Vice dean of education at the Faculty of Economics and Business Engineering
  09/2008 - Lecturer at the Hector School for Engineering and Management
  11/2006 - Full Professor at the Karlsruhe Institute of Technology
  07/2005 - 11/2006: Heisenberg fellow of the German Research Foundation (DFG)
  02/2006 - 04/2006: Academic Visitor at the Department of Chemical Engineering, Princeton University, USA
  07/2005 - 09/2005: Academic Visitor at the Judge Business School, University of Cambridge, UK
  04/2005 - 06/2005: Assistant Professor at RWTH Aachen University
  10/2004 - 03/2005: Full Professor (substituting) at the University of Duisburg-Essen
  10/2002 - 09/2004: Assistant Professor at RWTH Aachen University
  04/2002 - 09/2002: Full Professor (substituting) at the Chemnitz University of Technology
  04/2000 - 03/2002: Assistant Professor at RWTH Aachen University
  04/1999 - 04/2000: Postdoc at the Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg VA, USA
    and fellowship holder of the Alexander von Humboldt-Stiftung
  07/1997 - 03/1999: Assistant Professor at RWTH Aachen University
  01/1997 - 06/1997: Wissenschaftlicher Angestellter at RWTH Aachen University
  04/1995 - 12/1996: Member and scholarship holder of the "Graduiertenkolleg Mathematische Optimierung" at the University of Trier
  03/1994 - 12/1994: Teaching Assistant at the University of Trier
 
Education and degrees: 07/2002: Habilitation at RWTH Aachen University, Venia Legendi for Mathematics
    Habilitation Thesis: Bi-level Strategies in Semi-infinite Programming
  01/1997: Graduation "mit Auszeichnung" (summa cum laude)
    Advisors: Prof. Dr. R. Hettich, University of Trier,
    and Prof. Dr. H. Th. Jongen, RWTH Aachen University
    Doctoral Thesis: On parametric semi-infinite optimization
    12/93: Diploma in mathematics (C/G numerical analysis) and economics at the University of Trier, Germany
 
Grants and awards: 01/2016: Hector Teaching Award 2013/2014
  01/2014: Hector Teaching Award 2011/2012
  12/2013: TOP-5 paper published in Journal of Global Optimization in 2012
  11/2011: KIT faculty teaching award
  07/2005 - 11/2006: Heisenberg fellowship of the Deutsche Forschungsgemeinschaft
  04/1999 - 04/2000: Feodor Lynen fellowship of the Alexander von Humboldt-Stiftung
  04/1990 - 09/1993: Scholarship of the Friedrich Ebert-Stiftung
 
Professional Societies:   DMV, GAMM, GOR, MOS, SIAM, SIGOPT
    Member of several conference program and organization committees
 
Other Professional Activities: 1994 - 1996: Mathematical consultant at the "Institut für Arbeitsrecht und Arbeitsbeziehungen in der Europäischen Gemeinschaft (IAAEG)", Trier
  1989 - 1994: Freelancer at the news agency "Associated Press", Frankfurt a.M.