Publikationen
2024
- M. Beck, O. Stein, Semi-infinite models for equilibrium selection, Minimax Theory and its Applications, Vol. 9 (2024), 1-18.
- C. Eggen, O. Stein, S. Volkwein, Granularity for mixed-integer polynomial optimization problems, Optimization Online, 2024.
- G. Eichfelder, O. Stein, Limit sets in global multiobjective optimization, Optimization, Vol. 73 (2024), 1-27.
- P. Kirst, S. Schwarze, O. Stein, A branch-and-bound algorithm for non-convex Nash equilibrium problems, SIAM Journal on Optimization, Vol. 34 (2024), 3371-3398.
- O. Stein, Basic Concepts of Nonlinear Optimization, Springer, Berlin, 2024.
- O. Stein, M. Volk, On the weakest constraint qualification for sharp local minimizers, Optimization, Vol. 73 (2024), 3259-3274.
2023
- 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.
- L. Lampariello, S. Sagratella, V. Sasso, O. Stein, Solving multi-follower games,Optimization Online, 2023.
- C. Neumann, O. Stein, Feasible rounding approaches for equality constrained mixed-integer optimization problems, Optimization, Vol. 72 (2023), 581-606.
- S. Schwarze, O. Stein, A branch-and-prune algorithm for discrete Nash equilibrium problems, Computational Optimization and Applications, Vol. 86 (2023), 491-519.
- O. Stein, M. Volk, Generalized polarity and weakest constraint qualifications in multiobjective optimization, Journal of Optimization Theory and Applications, Vol. 198 (2023), 1156-1190.
2022
- M. Beck, S. Bolender, O. Stein, Optimal configurations for modular systems at the example of crane bridges, Optimization Online, 2022.
- 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.
- S. Nickel, S. Rebennack, O. Stein, K.-H. Waldmann, Operations Research, 3. Aufl., SpringerGabler, 2022.
- 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.
2021
- 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.
- 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.
- C. Füllner, P. Kirst, O. Stein, Convergent upper bounds in global minimization with nonlinear equality constraints, Mathematical Programming, Vol. 187 (2021), 617-651.
- 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.
- 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.
- O. Stein, Grundzüge der Globalen Optimierung, 2. Aufl., SpringerSpektrum, 2021.
- O. Stein, Grundzüge der Konvexen Analysis, SpringerSpektrum, 2021.
- O. Stein, Grundzüge der Nichtlinearen Optimierung, 2. Aufl., SpringerSpektrum, 2021.
- O. Stein, Grundzüge der Parametrischen Optimierung, SpringerSpektrum, 2021.
2020
- 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.
- L. Lampariello, S. Sagratella, V. Shikhman, O. Stein, Interactions between bilevel optimization and Nash games, in: S. Dempe, A. Zemkoho (eds): Bilevel Optimization: Advances and Next Challenges, Springer, 2020, 3-26.
- C. Neumann, O. Stein, N. Sudermann-Merx, Bounds on the objective value of feasible roundings, Vietnam Journal of Mathematics, Vol. 48 (2020), 299-313.
- C. Neumann, O. Stein, N. Sudermann-Merx, Granularity in nonlinear mixed-integer optimization, Journal of Optimization Theory and Applications, Vol. 184 (2020), 433-465.
2019
- T. Bajbar, O. Stein, Coercive polynomials: Stability, order of growth, and Newton polytopes, Optimization, Vol. 68 (2019), 99-124.
- P. Kirst, O. Stein, Global optimization of generalized semi-infinite programs using disjunctive programming, Journal of Global Optimization, Vol. 73 (2019), 1-25.
- L. Lampariello, S. Sagratella, O. Stein, The standard pessimistic bilevel problem, SIAM Journal on Optimization, Vol. 29 (2019), 1634-1656.
- R. Mohr, O. Stein, An adaptive sample size trust-region method for finite-sum minimization, arXiv:1910.03294 [math.OC], 2019.
- 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.
2018
- T. Bajbar, O. Stein, On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers, Mathematische Zeitschrift, Vol. 288 (2018), 915-933.
- O. Stein, Grundzüge der Globalen Optimierung, SpringerSpektrum, 2018.
- O. Stein, Grundzüge der Nichtlinearen Optimierung, SpringerSpektrum, 2018.
- O. Stein, N. Sudermann-Merx, The noncooperative transportation problem and linear generalized Nash games, European Journal of Operational Research, Vol. 266 (2018), 543-553.
2017
- P. Kirst, F. Rigterink, O. Stein, Global optimization of disjunctive programs, Journal of Global Optimization, Vol. 69 (2017), 283-307.
2016
- A. Dreves, N. Sudermann-Merx, Solving linear generalized Nash equilibrium problems numerically, Optimization Methods and Software, Vol. 31 (2016), 1036-1063.
- 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.
- O. Stein, Error bounds for mixed integer linear optimization problems, Mathematical Programming, Vol. 156 (2016), 101-123.
- O. Stein, Error bounds for mixed integer nonlinear optimization problems, Optimization Letters, Vol. 10 (2016), 1153-1168.
- 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.
2015
- N. Bäuerle, O. Stein, Operations Research: Mathematical Methods, in: Wiley StatsRef: Statistics Reference Online, 2015, 1–8.
- 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.
- N. Harms, C. Kanzow, O. Stein, On differentiability properties of player convex generalized Nash equilibrium problems, Optimization, Vol. 64 (2015), 365-388.
- 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.
2014
- 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.
- S. Nickel, O. Stein, K.-H. Waldmann, Operations Research, Springer-Gabler, 2014.
- O. Stein, P. Steuermann, On smooth relaxations of obstacle sets, Optimization and Engineering, Vol. 15 (2014), 3-33.
- 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.
2013
- 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.
2012
- D. Dorsch, V. Shikhman, O. Stein, Mathematical programs with vanishing constraints: critical point theory, Journal of Global Optimization, Vol. 52 (2012), 591-605.
- 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.
- V. Shikhman, O. Stein, On jet-convex functions and their tensor products, Optimization, Vol. 61 (2012), 717-731.
- O. Stein, Lifting mathematical programs with complementarity constraints, Mathematical Programming, Vol. 131 (2012), 71-94.
- O. Stein, How to solve a semi-infinite optimization problem, European Journal of Operational Research, Vol. 223 (2012), 312-320.
- O. Stein, Twice differentiable characterizations of convexity notions for functions on full dimensional convex sets, Schedae Informaticae, Vol. 21 (2012), 55-63.
- 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.
2011
- 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.
2010
- O. Stein, A. Winterfeld, A feasible method for generalized semi-infinite programming, Journal of Optimization Theory and Applications, Vol. 146 (2010), 419-443.
2009
- H. Th. Jongen, O. Stein, Smoothing methods for semi-infinite optimization, in: C.A. Floudas, P.M. Pardalos (eds): Encyclopedia of Optimization, Second Edition, Part 19, Springer, 2009, 3617-3622.
- V. Shikhman, O. Stein, Constrained optimization: projected gradient flows, Journal of Optimization Theory and Applications, Vol. 140 (2009), 117–130.
- O. Stein, Adaptive convexification in semi-infinite optimization, in: C.A. Floudas, P.M. Pardalos (eds): Encyclopedia of Optimization, Second Edition, Part 1, Springer, 2009, 13-19.
- O. Stein, Continuous reformulations of discrete-continuous optimization problems, in: C.A. Floudas, P.M. Pardalos (eds): Encyclopedia of Optimization, Second Edition, Part 3, Springer, 2009, 493-501.
- O. Stein, Generalized semi-infinite programming: optimality conditions, in: C.A. Floudas, P.M. Pardalos (eds): Encyclopedia of Optimization, Second Edition, Part 7, Springer, 2009, 1227-1233.
- O. Stein, A. Tezel, The semismooth approach for semi-infinite programming without strict complementarity, SIAM Journal on Optimization, Vol. 20 (2009), 1052-1072.
2008
- S. D. Flåm, H. Th. Jongen, O. Stein, Slopes of shadow prices and Lagrange multipliers, Optimization Letters, Vol. 2 (2008), 143-155.
- H. Günzel, H. Th. Jongen, O. Stein, Generalized semi-infinite programming: the Symmetric Reduction Ansatz, Optimization Letters, Vol. 2 (2008), 415-424.
- H. Günzel, H. Th. Jongen, O. Stein, Generalized semi-infinite programming: on generic local minimizers, Journal of Global Optimization, Vol. 42 (2008), 413-421.
- 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.
- H. Th. Jongen, O. Stein, Smoothing by mollifiers. Part I: Semi-infinite optimization, Journal of Global Optimization, Vol. 41 (2008), 319-334.
- H. Th. Jongen, O. Stein, Smoothing by mollifiers. Part II: Nonlinear optimization, Journal of Global Optimization, Vol. 41 (2008), 335-350.
- K.-H. Küfer, O. Stein, A. Winterfeld, Semi-infinite optimization meets industry: a deterministic approach to gemstone cutting, SIAM News, Vol. 41, No. 8 (2008), 1 and 16.
- O. Stein, A. Tezel, The semismooth approach for semi-infinite programming under the Reduction Ansatz, Journal of Global Optimization, Vol. 41 (2008), 245-266.
2007
- 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.
- 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.
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