Prof. Dr. Oliver Stein

Prof. Dr. Oliver Stein

  • Blücherstraße 17
    76185 Karlsruhe

Consultation hours

In lectures period:

Tuesday from 10:00 to 11:00 am by appointment

 

Off lectures period:
only by appointment

Research interest

  • Optimization methods and their theoretical foundation
  • Generalized Nash Games and Multi-Agent Optimization
  • Multilevel Optimization
  • Multiobjective Optimization
  • Mixed Integer 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).
  • Czech Economic Review (member of editorial board 2008- ).
  • Journal of Global Optimization (member of editorial board 2009-2014).
  • Optimization (member of editorial board, 2011-2014).
  • Central European Journal of Operations Research, Volume 16, Number 2 (2008) (Special issue on "Advances in Continuous Optimization" - guest editor).
  • Mathematical Programming, Series B, Volume 136, Issue 1 (2012) (Issue on "Parametric Optimization - Recent Advances" - guest editor).
  • Optimization, Volume 57, Issue 1-2 (2008) (Special issue "In Celebration of Prof. Dr Dr H. Th. Jongen's 60th Birthday" - guest editor).
  • Optimization, Volume 68, Issue 2-3 (2019) (Special issue on "11th International Conference on Parametric Optimization and Related Topics (paraoptXI)" - guest editor).
  • Pacific Journal of Optimization, Volume 9, Number 2 (2013) (Special issue on "Equilibrium Optimization" - guest editor).

 

Submitted for Publication:

 

Publications in Refereed Journals:

77    O. Stein, M. Volk, On the weakest constraint qualification for sharp local minimizers, Optimization, 2024, DOI: 10.1080/02331934.2024.2322155.
76    G. Eichfelder, O. Stein, L. Warnow, A solver for multiobjective mixed-integer convex and nonconvex optimization, Journal of Optimization Theory and Applications, 2023, DOI: 10.1007/s10957-023-02285-2.
75    S. Schwarze, O. Stein, A branch-and-prune algorithm for discrete Nash equilibrium problems, Computational Optimization and Applications, Vol. 86 (2023), 491-519.
74    O. Stein, M. Volk, Generalized polarity and weakest constraint qualifications in multiobjective optimization, Journal of Optimization Theory and Applications, Vol. 198 (2023), 1156-1190.
73    C. Neumann, S. Schwarze, O. Stein, B. Müller, Feasible rounding based diving strategies in branch-and-bound methods for mixed-integer optimization, EURO Journal on Computational Optimization, Vol. 10 (2022), 100051.
72    M. Beck, O. Stein, Semi-infinite models for equilibrium selection, Minimax Theory and its Applications, Vol. 9 (2024), 1-18.
71    G. Eichfelder, O. Stein, Limit sets in global multiobjective optimization, Optimization, Vol. 73 (2024), 1-27.
70    C. Zimmerling, C. Poppe, O. Stein, L. Kärger, Optimisation of manufacturing process parameters for variable component geometries using reinforcement learning, Materials & Design, Vol. 214 (2022), 110423.
69    C. Neumann, O. Stein, Feasible rounding approaches for equality constrained mixed-integer optimization problems, Optimization, Vol. 72 (2023), 581-606.
68    H. Djelassi, A. Mitsos, O. Stein, Recent advances in nonconvex semi-infinite programming: applications and algorithms, EURO Journal on Computational Optimization, Vol. 9 (2021), 100006.
67    C. Neumann, O. Stein, Generating feasible points for mixed-integer convex optimization problems by inner parallel cuts, SIAM Journal on Optimization, Vol. 31 (2021), 2396-2428.
66    L. Lampariello, C. Neumann, J.M. Ricci, S. Sagratella, O. Stein, Equilibrium selection for multi-portfolio optimization, European Journal of Operational Research, Vol. 295 (2021), 363-373.
65    G. Eichfelder, P. Kirst, L. Meng, O. Stein, A general branch-and-bound framework for continuous global multiobjective optimization, Journal of Global Optimization, Vol. 80 (2021), 195-227.
64    L. Lampariello, C. Neumann, J.M. Ricci, S. Sagratella, O. Stein, An explicit Tikhonov algorithm for nested variational inequalities, Computational Optimization and Applications, Vol. 77 (2020), 335-350.
63    C. Füllner, P. Kirst, O. Stein, Convergent upper bounds in global minimization with nonlinear equality constraints, Mathematical Programming, Vol. 187 (2021), 617-651.
62    C. Neumann, O. Stein, N. Sudermann-Merx, Bounds on the objective value of feasible roundings, Vietnam Journal of Mathematics, Vol. 48 (2020), 299-313.
61    C. Neumann, O. Stein, N. Sudermann-Merx, Granularity in nonlinear mixed-integer optimization, Journal of Optimization Theory and Applications, Vol. 184 (2020), 433-465.
60    L. Lampariello, S. Sagratella, O. Stein, The standard pessimistic bilevel problem, SIAM Journal on Optimization, Vol. 29 (2019), 1634-1656.
59    C. Neumann, O. Stein, N. Sudermann-Merx, A feasible rounding approach for mixed-integer optimization problems, Computational Optimization and Applications , Vol. 72 (2019), 309-337.
58    P. Kirst, O. Stein, Global optimization of generalized semi-infinite programs using disjunctive programming, Journal of Global Optimization, Vol. 73 (2019), 1-25.
57    T. Bajbar, O. Stein, Coercive polynomials: Stability, order of growth, and Newton polytopes, Optimization, Vol. 68 (2019), 99-124.
56    O. Stein, N. Sudermann-Merx, The noncooperative transportation problem and linear generalized Nash games, European Journal of Operational Research, Vol. 266 (2018), 543-553.
55    T. Bajbar, O. Stein, On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers, Mathematische Zeitschrift, Vol. 288 (2018), 915-933.
54    P. Kirst, F. Rigterink, O. Stein, Global optimization of disjunctive programs, Journal of Global Optimization, Vol. 69 (2017), 283-307.
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, Vol. 170 (2016), 687-709.
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:

 

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

  • 04.07.23: Plenary talk "Branch-and-bound in multiobjective mixed-integer nonlinear optimization", Workshop on Learning from both sides - Linear and nonlinear mixed-integer optimization, Institut Mittag-Leffler, Djursholm, Sweden, July 3 - 7, 2023.
  • 04.11.22: Generalized Polarity and Weakest Constraint Qualifications in Multi-objective Optimization, Arbeitsgruppentreffen zur Vektor- und Mengenwertigen Optimierung, Lutherstadt Wittenberg, Germany, November 3 –4, 2022.
  • 15.09.22: Semi-infinite models for equilibrium selection, 12th International Conference on Parametric Optimization and Related Topics, Augsburg, Germany, September 12 - 16, 2022.
  • 07.09.22: Semi-infinite models for equilibrium selection, OR 2022, Karlsruhe, Germany, September 6 - 9, 2022.
  • 30.07.22: Plenary talk "Branch-and-bound for continuous and mixed-integer multiobjective optimization", 19th EUROPT Workshop on Advances in Continuous Optimization, Lisbon, Portugal, July 29 - 30, 2022.
  • 09.07.21: Plenary talk "Granularity - a bridge between continuous and discrete optimization", 18th EUROPT Workshop on Advances in Continuous Optimization, Toulouse, France, July 7 - 9, 2021 (online).
  • 07.07.21: A general branch-and-bound framework for global multiobjective optimization, 18th EUROPT Workshop on Advances in Continuous Optimization, Toulouse, France, July 7 - 9, 2021 (online).
  • 20.05.21: On semi-infinite reformulations for equilibrium selection, Workshop on Applications of Semi-infinite Optimization, Fraunhofer ITWM, Kaiserslautern, Germany, May 20 - 21, 2021 (online).
  • 09.12.20: A general branch-and-bound framework for global multiobjective optimization, Workshop on Geometry and Optimization in memory of Victor Zalgaller, Technion, Haifa, Israel, December 9, 2020 (online).
  • 22.10.20: A general branch-and-bound framework for global multiobjective optimization, Arbeitsgruppentreffen zur Vektor- und Mengenwertigen Optimierung, Lutherstadt Wittenberg, Germany, October 22 - 23, 2020.
  • 05.03.20: A general branch-and-bound framework for global multiobjective optimization, SIGOPT 2020, Dortmund, Germany, March 4 - 6, 2020.
  • 06.09.19: Granularity in nonlinear mixed-integer optimization, OR 2019, Dresden, Germany, September 3 - 6, 2019.
  • 26.06.19: Granularity in nonlinear mixed-integer optimization, EURO 2019, Dublin, Ireland, June 23 - 26, 2019.
  • 27.03.19: On pessimistic bilevel optimization, Computational Management Science / Mathematical Methods in Industry and Economics 2019, Chemnitz, Germany, March 27 - 29, 2019.

 

Talks in Seminars and Colloquia

  • 16.01.24: Branch-and-bound in multiobjective mixed-integer nonlinear optimization, Mathematical Colloquium, Institute of Mathematics, University of Augsburg, Augsburg, Germany.
  • 17.10.23: A branch-and-bound algorithm for nonconvex Nash equilibrium problems, Colloquium of the Faculty of Computer Science and Mathematics, University of Passau, Passau, Germany.
  • 27.06.23: Granularity - a bridge between continuous and discrete optimization, Oberseminar ”Numerical Optimization”, University of Konstanz, Konstanz, Germany.
  • 02.08.22: Equilibrium selection: A rendezvous of Nash games, multicriteria optimization, and semi-infinite programming, EUROPT Summer School 2022, SST NOVA, Lisbon, Portugal.
  • 09.06.22: The granularity concept in mixed-integer optimization, Optimization and Systems Theory Seminar, KTH Stockholm, Sweden.
  • 14.-17.11.21: Equilibrium selection - multicriteria optimization and semi-infinite programming, UNIVERS Winter School on Optimization, Games and Markets, Chemnitz University of Technology, Chemnitz, Germany.
  • 17.05.21: The granularity concept in mixed-integer optimization, Algorithmic Optimization Colloquium, University of Trier, Trier, Germany (online).
  • 22.07.20: A general branch-and-bound framework for global multiobjective optimization, Variational Analysis and Optimisation Webinar (online).
  • 27.01.20: On pessimistic bilevel optimization, AICES-SSD Seminar Series, RWTH Aachen University, Aachen, Germany.
  • 18.12.19: Granularity in nonlinear mixed-integer optimization, Mathematical Colloquium, Institute of Mathematics, Ilmenau University of Technology, Ilmenau, Germany.

Curriculum vitae

Professional Experience: 10/2010 - Co-opted member of the Faculty of Mathematics, KIT
  10/2008 - 09/2014: Vice dean of education at the Faculty of Economics and Business Engineering
  09/2008 - 03/2023: 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
  12/1993: Diploma in mathematics (C/G numerical analysis) and economics at the University of Trier, Germany
 
Grants and awards: 02/2022: EUROPT Fellow 2022 of the EURO Working Group on Continuous Optimization
  2014-2022: Hector Teaching Awards 2011/2012, 2013/2014, 2014/2015, 2015/2016, 2019/2020
  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, 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.