Preprints

Christian Füllner, X. Andy Sun and Steffen Rebennack A new framework to generate Lagrangian cuts in multistage stochastic mixed-integer programming
Christian Füllner, X. Andy Sun and Steffen Rebennack On Lipschitz regularization and Lagrangian cuts in multistage stochastic mixed-integer linear programming
Anil Kaya, Yashar Ghiassi- Farrokhfal, Steffen Rebennack, Mohammad Reza Hesamzadeh, Kai Pan and Derek W. Bunn Delivering Reliable Reserve Commitments from Intermittent Electricity Resources
Thomas Hübner, Akshay Gupte and Steffen Rebennack Spatial branch-and-bound for nonconvex separable piecewise linear optimization

Journal Articles

1.	Christian Füllner and Steffen Rebennack "Stochastic Dual Dynamic Programming and Its Variants", SIAM Review, accepted
2.	Christian Füllner, Peter Kirst, Hendrik Otto and Steffen Rebennack "Feasibility verification and upper bound computation in global minimation using approximate active index sets" INFORMS Journal on Computing, accepted Open Access
3.	John Warwicker and Steffen Rebennack "Efficient Continuous Piecewise Linear Regression for Linearising Univariate Non-Linear Functions" IISE Transactions, accepted Open Access
4.	Pranjal Pragya Verma, Mohammad Reza Hesamzahdeh, Steffen Rebennack, Derek Bunn, K. Shanti Swarup and Dipti Srinivasan "Optimal Investment by Large Consumers in an Electricity Market with Generator Market Power" Computational Management Science, 36, 2024 Open Access
5.	John Warwicker and Steffen Rebennack "Support Vector Machines within a Bivariate Mixed-Integer Linear Programming Framework" Expert Systems With Applications, 245: 122998, 2024 Open Access
6.	John Warwicker and Steffen Rebennack "Generating Optimal Robust Continuous Piecewise Linear Regression with Outliers through Combinatorial Benders Decomposition" IISE Transactions, 55(8): 755-767, 2023 Open Access
7.	John Warwicker and Steffen Rebennack "A Unified Framework for Bivariate Clustering and Regression Problems via Mixed-Integer Linear Programming" Discrete Applied Mathematics, 336: 15-36, 2023 Open Access
8.	Christian Füllner and Steffen Rebennack "Non-convex Nested Benders Decomposition" Mathematical Programming, 196: 987-1024, 2022 Open Access
9.	Steffen Rebennack "Data-driven Stochastic Optimization for Distributional Ambiguity with Integrated Confidence Region" Journal of Global Optimization, 84(2): 255-293, 2022 Open Access
10.	John Warwicker and Steffen Rebennack "A Comparison of two Mixed-Integer Linear Programs for Piecewise Linear Function Fitting" INFORMS Journal on Computing, 34(2): 1042-1047, 2022
11.	Nathan Sudermann-Merx, Steffen Rebennack, and Christian Timpe "Crossing Minimal Edge-Constrained Layout Planning using Benders Decomposition" Production and Operations Management, 30(10): 3429-3447, 2021 Open Access Data
12.	Nathan Sudermann-Merx and Steffen Rebennack "Leveraged Least Trimmed Absolute Deviations" OR Spectrum, 43(3): 809-834, 2021 Open Access
13.	Noam Goldberg, Steffen Rebennack, Youngdae Kim, Vitaliy Krasko, and Sven Leyffer "MINLP Formulations for Continuous Piecewise Linear Function Fitting" Computational Optimization and Applications 79(1): 223-233, 2021 Open Access
14.	Timo Lohmann, Michael Bussieck, Lutz Westermann, and Steffen Rebennack "High Performance Prototyping of Decomposition Methods in GAMS" INFORMS Journal on Computing 33(1): 34-50, 2021
15.	Steffen Rebennack and Vitaliy Krasko „Piecewise Linear Function Fitting via Mixed-Integer Linear Programming“ INFORMS Journal on Computing 32(2): 507-530, 2020
16.	Steffen Rebennack, Oleg A. Prokopyev, and Bismark Singh “Two-Stage Stochastic Minimum s-t Cut Problems: Formulations, Complexity and Decomposition Algorithms” Networks 75(3): 235–258, 2020 Open Access
17.	Gregory Steeger, Timo Lohmann and Steffen Rebennack “Strategic Bidding for a Price-Maker Hydroelectric Producer: Stochastic Dual Dynamic Programming and Lagrangian Relaxation” IISE Transactions, 50(11): 929-942, 2018
18.	Timo Lohmann and Steffen Rebennack "Tailored Benders Decomposition for a Long-Term Power Expansion Model with Short-Term Demand Response" Management Science, 63(6): 2027-2048, 2017 Source code (GAMS) and Data
19.	Vitaliy Krasko and Steffen Rebennack "Two-Stage Stochastic Mixed-Integer Nonlinear Programming Model for Post-Wildfire Debris Flow Hazard Management: Mitigation and Emergency Evacuation" European Journal of Operational Research, 263(1): 265-282, 2017
20.	Gregory Steeger and Steffen Rebennack "Dynamic Convexification within Nested Benders Decomposition using Lagrangian Relaxation: An Application to the Strategic Bidding Problem" European Journal of Operational Research, 257(2): 669-686, 2017
21.	Steffen Rebennack "Combining Sampling-based and Scenario-based Nested Benders Decomposition Methods: Application to Stochastic Dual Dynamic Programming" Mathematical Programming, 156(1): 343-389, 2016
22.	Steffen Rebennack "Computing Tight Bounds via Piecewise Linear Functions through the Example of Circle Cutting Problems" Mathematical Methods of Operations Research, 84(1): 3-57, 2016 Source code (GAMS) and Data
23.	Stephen M. Frank and Steffen Rebennack "An Introduction to Optimal Power Flow: Theory, Formulation, and Examples" IIE Transactions, 48(12): 1172-1197, 2016 Source code (GAMS)
24.	Timo Lohmann, Amanda S. Hering, and Steffen Rebennack "Spatio-Temporal Hydro Forecasting of Multireservoir Inflows for Hydro-Thermal Scheduling" European Journal of Operational Research, 255(1): 243-258, 2016
25.	Kevin McCoy, Vitaliy Krasko, Paul Santi, Daniel Kaffine, and Steffen Rebennack "Minimizing Economic Impacts from Post-Fire Debris Flows in the Western United States" Natural Hazards, 83(1): 149-176, 2016
26.	Steffen Rebennack and Josef Kallrath "Continuous Piecewise Linear Delta-Approximations for Univariate Functions: Computing Minimal Breakpoint Systems" Journal of Optimization Theory and Applications, 167(2): 617-643, 2015
27.	Steffen Rebennack and Josef Kallrath "Continuous Piecewise Linear Delta-Approximations for Bivariate and Multivariate Functions" Journal of Optimization Theory and Applications, 167(1): 102-117, 2015
28.	Salman Mohagheghi and Steffen Rebennack "Optimal Resilient Power Grid Operation During the Course of a Progressing Wildfire" International Journal of Electrical Power and Energy Systems, 73: 843-852, 2015
29.	Gregory Steeger and Steffen Rebennack "Strategic Bidding for Multiple Price-Maker Hydroelectric Producers" IIE Transactions, 47: 1-19, 2015
30.	Stephen M. Frank and Steffen Rebennack "Optimal Design of Mixed AC-DC Distribution Systems for Commercial Buildings: A Nonconvex Generalized Benders Decomposition Approach" European Journal of Operational Research, 242(3): 710-729, 2015 Source code (GAMS) and Data
31.	Gregory Steeger, Luiz Augusto Barroso and Steffen Rebennack "Optimal Bidding Strategies for Hydro-Electric Producers: a Literature Survey" IEEE Transactions on Power Systems, 29(4): 1758-1766, 2014
32.	Josef Kallrath and Steffen Rebennack "Cutting Ellipses from Area-Minimizing Rectangles" Journal of Global Optimization, 59(2-3): 405-437, 2014
33.	Julia Kallrath, Steffen Rebennack, Josef Kallrath and Rüdiger Kusche "Solving Real-World Cutting Stock-Problems in the Paper Industry: Mathematical Approaches, Experience and Challenges" European Journal of Operational Research, 238(1): 374-389, 2014 Data
34.	Steffen Rebennack "Generation Expansion Planning under Uncertainty with Emissions Quotas" Electric Power Systems Research, 114: 78-85, 2014
35.	John Shortle, Steffen Rebennack, and Fred Glover "Transmission-Capacity Expansion for Minimizing Blackout Probabilities" IEEE Transactions on Power Systems, 29(1): 43-52, 2014
36.	Jennifer Van Dinter, Steffen Rebennack, Josef Kallrath, Paul Denholm, and Alexandra Newman "The Unit Commitment Model with Concave Emissions Costs: a Hybrid Benders' Decomposition with Nonconvex Master Problems" Annals of Operations Research, 210(1): 361-386, 2013
37.	Yuping Huang, Steffen Rebennack, and Qipeng P. Zheng "Techno-Economic Analysis and Optimization Models for Carbon Capture and Storage - A Survey" Energy Systems, 4(4): 315-353, 2013
38.	Donatella Granata, Gregory Steeger, and Steffen Rebennack "Network Interdiction via a Critical Disruption Path: Branch-and-Price Algorithms" Computers & Operations Research, 40(11): 2689-2702, 2013
39.	Stephen Frank, Ingrida Steponavice, and Steffen Rebennack "Optimal Power Flow: A Bibliographic Survey I - Formulations and Deterministic Methods" Energy Systems, 3(3): 221-258, 2012
40.	Stephen Frank, Ingrida Steponavice, and Steffen Rebennack "Optimal Power Flow: A Bibliographic Survey II - Non-Deterministic and Hybrid Methods" Energy Systems, 3(3): 259-289, 2012
41.	Steffen Rebennack, Bruno Flach, Mario V.F. Pereira, and Panos M. Pardalos "Stochastic Hydro-Thermal Scheduling under CO₂ Emission Constraints" IEEE Transactions on Power Systems, 27(1): 58-68, 2012
42.	Steffen Rebennack, Gerhard Reinelt, and Panos M. Pardalos "A Tutorial on Branch & Cut Algorithms for the Maximum Stable Set Problem" International Transactions in Operational Research, 19(1-2): 161-199, 2012
43.	Steffen Rebennack, Marcus Oswald, Dirk Oliver Theis, Hanna Seitz, Gerhard Reinelt, and Panos M. Pardalos "A Branch and Cut Solver for the Maximum Stable Set Problem" Journal of Combinatorial Optimization, 21(4): 434-457, 2011 Source code (ABACUS)
44.	Steffen Rebennack, Josef Kallrath, and Panos M. Pardalos "Optimal Storage Design for a Multi-Product Plant: A Non-Convex MINLP Formulation" Computers & Chemical Engineering, 35(2): 255-271, 2011
45.	Vitaliy Yatsenko, Nikita Boyko, Steffen Rebennack, and Panos M. Pardalos "Space Weather Influence on Power Systems: Prediction, Risk Analysis, and Modeling" Energy Systems, 1(2): 197-207, 2010
46.	Steffen Rebennack, Ashwin Arulselvan, Lily Elefteriadou, and Panos M. Pardalos "Complexity Analysis for Maximum Flow Problems with Arc Reversals" Journal of Combinatorial Optimization, 19(2): 200-216, 2010
47.	Steffen Rebennack, Artyom Nahapetyan, and Panos M. Pardalos "Bilinear Modeling Solution Approach for Fixed Charged Network Flow Problems" Optimization Letters, 3(3): 347-355, 2009
48.	Steffen Rebennack, Josef Kallrath, and Panos M. Pardalos "Column Enumeration based Decomposition Techniques for a Class of Non-Convex MINLP Problems" Journal of Global Optimization, 43(2-3): 277-297, 2009

Books

49.

Stefan Nickel, Steffen Rebennack, Oliver Stein and Karl-Heinz Waldmann
Operations Research
Springer Gabler, 3rd edition, 2022
ISBN: 978-3-662-65345-6
ISBN: 978-3-662-65346-3 (eBook)

Book Chapters

50.	John Warwicker and Steffen Rebennack "Mixed integer programming formulations for piecewise linear functions" Encyclopedia of Optimization, Panos M. Pardalos and Oleg A. Prokopyev (Eds.), Springer, accepted
51.	John Warwicker and Steffen Rebennack "Univariate Continuous Piecewise Linear Regression" Encyclopedia of Optimization, Panos M. Pardalos and Oleg A. Prokopyev (Eds.), Springer, accepted
52.	Christian Füllner, Shixuan Zhang, Steffen Rebennack and Xu Andy Sun "Stochastic Dual Dynamic Integer Programming (SDDiP)" Encyclopedia of Optimization, Panos M. Pardalos and Oleg A. Prokopyev (Eds.), Springer, accepted
53.	Marcel Sinske and Steffen Rebennack „Benders Decomposition“ Encyclopedia of Optimization, Panos M. Pardalos and Oleg A. Prokopyev (Eds.), Springer, accepted
54.	Christian Füllner and Steffen Rebennack "Stochastic Dual Dynamic Programming (SDDP)" Encyclopedia of Optimization, Panos M. Pardalos and Oleg A. Prokopyev (Eds.), Springer, accepted
55.	Vitaliy Krasko and Steffen Rebennack "Global Optimization: Optimal power Flow Problem" Chapter 15 in "T. Advances and Trends in Optimization with Engineering Applications," edited by Terlaky, M. Anjos and S. Ahmed. MOS-SIAM Series on Optimization, SIAM, Philadelphia, pp. 187-205, 2017
56.	Didem Cinar, Panos M. Pardalos, and Steffen Rebennack "Evaluating Supply Chain Design Models for the Integration of Biomass Co-firing in Existing Coal Plants Under Uncertainty" Chapter 8 in "Handbook of Bioenergy," Sandra D. Eksioglu, Steffen Rebennack, and Panos M. Pardalos (Eds.), Springer, pp. 191-217, 2015
57.	Josef Kallrath and Steffen Rebennack "Computing Area-Tight Piecewise Linear Overestimators, Underestimators and Tubes for Univariate Functions" Chapter 14 in "Optimization in Science and Engineering," S. Butenko, C.A. Floudas, and T.M. Rassias (Eds.), Springer, pp. 273-292, 2014
58.	Hoang Tuy, Steffen Rebennack, and Panos M. Pardalos "Global Optimization" Encyclopedia of Operations Research and Management Science, S. Gass, and M. Fu (Eds.), Springer, pp. 650-658, 2013
59.	Steffen Rebennack, Josef Kallrath, and Panos M. Pardalos "Energy Portfolio Optimization for Electric Utilities: Case Study for Germany" Chapter 14 in "Energy, Natural Resources and Environmental Economics," Endre Bjørndal, Mette Bjørndal, Panos M. Pardalos, and Mikael Rönnqvist (Eds.), Energy Systems, Springer, pp. 221-246, 2010
60.	Qipeng Phil Zheng, Steffen Rebennack, Niko A. Iliadis, and Panos M. Pardalos "Optimization Models in the Natural Gas Industry" Chapter 6 in "Handbook of Power Systems I," Steffen Rebennack, Panos M. Pardalos, Mario V.F. Pereira, and Niko A. Iliadis (Eds.), Energy Systems, Springer, pp. 121-148, 2010
61.	Panos M. Pardalos and Steffen Rebennack "Computational Challenges with Cliques, Quasi-cliques and Clique Partitions in Graphs" Chapter 2 in "Experimental Algorithms," Paola Festa (Ed.), Lecture Notes in Computer Science, vol. 6049/2010, Springer, pp. 13-22, 2010
62.	Vitaliy A. Yatsenko, Panos M. Pardalos, and Steffen Rebennack "Critical States of Nuclear Power Plant Reactors and Bilinear Modeling" Chapter 7 in "Optimization in the Energy Industry," Josef Kallrath, Panos M. Pardalos, Steffen Rebennack, and Max Scheidt (Eds.), Energy Systems, Springer, pp. 149-166, 2009
63.	Saed Alizamir, Steffen Rebennack, and Panos M. Pardalos "Improving the Neighborhood Selection Strategy in Simulated Annealing using Optimal Stopping Problem" (open access), Chapter 18 in "Global Optimization: Focus on Simulated Annealing," Cher Ming Tan (Ed.), Energy Systems, I-Tech Education and Publication, pp. 363-382, 2008
64.	Steffen Rebennack "Ellipsoid Method" Encyclopedia of Optimization, 2nd edition, Christodoulos A. Floudas und Panos M. Pardalos (Eds.), Springer, pp. 890-899, 2008
65.	Steffen Rebennack "Stable Set Problem: Branch & Cut Algorithms" Encyclopedia of Optimization, 2nd edition, Christodoulos A. Floudas und Panos M. Pardalos (Eds.), Springer, pp. 3676-3688, 2008

Conference Proceedings

66.	Issam Abdeldjalil Ikhelef, John Alasdair Warwicker, Steffen Rebennack, Mohad Yazid Saidi and Ken Chen "Efficient Decomposition-Based Methods for Optimal VNF Placement and Chaining", Proceedings of "2023 24th Asia -Pacific Network Operations and Management Symposium (APNOMS)", Sejong, Republic of Korea, pp. 89-94, 2023
67.	Petros Xanthopoulos, Steffen Rebennack, Chang-Chia Liu, Jicong Zhang, Panos M. Pardalos, Gregory Holmes, and Basim Uthman "A Novel Wavelet Based Algorithm for Spike and Wave Detection in Absence Epilepsy" Proceedings of "IEEE International Conference on Bioinformatics & Bioengineering," Philadelphia, USA, pp. 14-19, 2010
68.	Steffen Rebennack, Niko A. Iliadis, Josef Kallrath, and Panos M. Pardalos "Short Term Portfolio Optimization for Discrete Power Plant Dispatching" Proceedings of "IEEE PES General Meeting," Calgary, Canada, pp. 1-6, 2009
69.	Steffen Rebennack, Niko A. Iliadis, Mario V.F. Pereira, and Panos M. Pardalos "Electricity and CO₂ Emissions System Price Modeling" Proceedings of "IEEE PowerTech," Bucharest, Romania, pp. 1-6, 2009

Books Edited

70.	Operations Research Proceedings 2022 Selected papers of the Annual International Conference of the German Operations Research Society (GOR), Karlsruhe, Germany, September 6-9, 2022 Oliver Grothe, Stefan Nickel, Steffen Rebennack und Oliver Stein (Eds.) Lecture Notes in Operations Research, 2023 ISBN: 978-3-031-24906-8
71.	Handbook of Optimization in Electric Power Distribution Systems Mariana Resener, Steffen Rebennack, Panos M. Pardalos, and Sérgio Haffner (Eds.) Energy Systems, Springer, 2020 ISBN: 978-3-030-36114-3
72.	Handbook of Bioenergy: Bioenergy Supply Chain - Models and Applications Sandra D. Eksioglu, Steffen Rebennack, and Panos M. Pardalos (Eds.) Energy Systems, Springer, 2015 ISBN: 978-3-319-20092-7
73.	Handbook of Networks in Power Systems I Alexey Sorokin, Steffen Rebennack, Panos M. Pardalos, Niko A. Iliadis, and Mario V.F. Pereira (Eds.) Energy Systems, Springer, 2012 ISBN: 978-3-642-23192-6
74.	Handbook of CO₂ in Power Systems Qipeng P. Zheng, Steffen Rebennack, Panos M. Pardalos, Mario V.F. Pereira, and Niko A. Iliadis (Eds.) Energy Systems, Springer, 2012 ISBN: 978-3-642-27430-5
75.	Handbook of Networks in Power Systems I Alexey Sorokin, Steffen Rebennack, Panos M. Pardalos, Niko A. Iliadis, and Mario V.F. Pereira (Eds.) Energy Systems, Springer, 2012 ISBN: 978-3-642-23192-6
76.	Handbook of Networks in Power Systems II Alexey Sorokin, Steffen Rebennack, Panos M. Pardalos, Niko A. Iliadis, and Mario V.F. Pereira (Eds.) Energy Systems, Springer, 2012 ISBN: 978-3-642-23405-7
77.	Experimental Algorithms Panos M. Pardalos, and Steffen Rebennack (Eds.) Proceedings of the 10th International Symposium, SEA 2011, Kolimpari, Chania, Crete, Greece, May 5-7, 2011 Lecture Notes in Computer Science, Vol. 6630, Springer, 2011 ISBN: 978-3-642-20661-0
78.	Handbook of Power Systems I Steffen Rebennack, Panos M. Pardalos, Mario V.F. Pereira, and Niko A. Iliadis (Eds.) Energy Systems, Springer, 2010 ISBN: 978-3-642-02492-4
79.	Handbook of Power Systems II Steffen Rebennack, Panos M. Pardalos, Mario V.F. Pereira, and Niko A. Iliadis (Eds.) Energy Systems, Springer, 2010 ISBN: 978-3-642-12685-7
80.	Optimization in the Energy Industry Josef Kallrath, Panos M. Pardalos, Steffen Rebennack, and Max Scheidt (Eds.) Energy Systems, Springer, 533 pp., 2009 ISBN: 978-3-540-88964-9

Special Issues of Journals Edited

81.	Energy Systems, 5(1), 2014, edited by Steffen Rebennack, Josef Kallrath, and Stefan Janson
82.	Optimization Letters, 5(3), 2011, edited by Steffen Rebennack
83.	Computational Management Science, 5(4), 2008, edited by Josef Kallrath, Panos M. Pardalos, and Steffen Rebennack

Editorial

84.	Steffen Rebennack "Letter from the editor-in-chief." Energy Systems, 8(1):1-1, 2017

Diploma Thesis

85.

Steffen Rebennack
"Maximum Stable Set Problem: A Branch & Cut Solver"
Ruprecht-Karls-Universität Heidelberg, Fakultät für Mathematik und Informatik, Mai 2006
Quellcode (ABACUS)

PhD Thesis

86.

Steffen Rebennack
"A Unified State-Space and Scenario Tree Framework for Multi-Stage Stochastic Optimization: An Application to Emission-Constrained Hydro-Thermal Scheduling"
University of Florida, Industrial and Systems Engineering, August 2010

Book Review

87.	Steffen Rebennack Book Review: "Gemischt-ganzzahlige Optimierung: Modelierung in der Praxis" OR News, 47: 37, 2013

Magazine Articles

88.	John Warwicker and Steffen Rebennack "When linear regression is insufficient, use (fast) piecewise linear regression". ISE Magazine, July, p.53, 2023 This "Research" section is provided for informational purposes only with permission of the Institute of Industrial and Systems Engineers from July 2023 issue if ISE Magazine, Copyright©2023. All rights reserved.
89.	Steffen Rebennack "OR 2022 in Karlsruhe" OR News, 75: 9, 2022
90.	Steffen Rebennack "OR 2021: virtuell in Bern" OR News, 73: 27-30, 2021
91.	Steffen Rebennack "Piecewise Linear Functions" OR News, 58: 7-8, 2016
92.	Josef Kallrath and Steffen Rebennack "Praxis der Mathematischen Optimierung" OR News, 54: 48-49, 2015
93.	Josef Kallrath and Steffen Rebennack "Praxis der Mathematischen Optimierung" OR News, 53: 50-51, 2015
94.	Josef Kallrath and Steffen Rebennack "Praxis der Mathematischen Optimierung" OR News, 51: 48-49, 2014
95.	Josef Kallrath and Steffen Rebennack "Praxis der Mathematischen Optimierung" OR News, 50: 56-57, 2014
96.	Josef Kallrath and Steffen Rebennack "Praxis der Mathematischen Optimierung" OR News, 47: 44-45, 2013
97.	Steffen Rebennack "Emission-Constrained Hydro-Thermal Scheduling" OR News, 43: 26-27, 2011
98.	Panos M. Pardalos and Steffen Rebennack "Energy Deregulation Driving Center for Applied Optimization Activities" Industrial & Systems Engineering, ISE News, Fall 2010, pages 7-8