Publikationen

2024

M. Beck, S. Bolender, O. Stein, Optimal configurations for modular systems at the example of crane bridges, Optimization and Engineering (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.
G. Eichfelder, O. Stein, L. Warnow, A solver for multiobjective mixed-integer convex and nonconvex optimization, Journal of Optimization Theory and Applications, Vol. 203 (2024), 1736-1766.
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, A tutorial on properties of the epigraph reformulation, Optimization Online, 2024.
O. Stein, Basic Concepts of Global Optimization, Springer, Berlin, 2024.
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

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

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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