Supply Chain Management (SCM) deals with the combination of procurement, production, storage, transport, and delivery of commodities. These problems occur in many different sectors of industry. Since the integrated planning of these processes promises a high potential for optimization, it is of great importance for the companies' efficiency. The method of choice to find optimal solutions in SCM is linear and integer programming. Nevertheless, there are big challenges to overcome - concerning both hardware and algorithms - due to very detailed and therefore large models. Additionally there may occur numerical difficulties that standard techniques cannot deal with. As a consequence, a careful mathematical formulation is necessary and new methods need to be implemented to improve the performance of MIP algorithms.

Publications

2023
Linear Programming in MILP Solving - A Computational Perspective Doctoral thesis, Technische Universität Berlin, Thorsten Koch, Julian Hall (Advisors), 2023, ISBN: 9783843953238 Matthias Miltenberger PDF
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Solving Supply Chain Management Problems
2021
MIPLIB 2017: Data-Driven Compilation of the 6th Mixed-Integer Programming Library Mathematical Programming Computation, 13(3), pp. 443-490, 2021 Ambros Gleixner, Gregor Hendel, Gerald Gamrath, Tobias Achterberg, Michael Bastubbe, Timo Berthold, Philipp M. Christophel, Kati Jarck, Thorsten Koch, Jeff Linderoth, Marco Lübbecke, Hans Mittelmann, Derya Ozyurt, Ted Ralphs, Domenico Salvagnin, Yuji Shinano BibTeX
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Solving Supply Chain Management Problems
2020
An exploratory computational analysis of dual degeneracy in mixed-integer programming EURO Journal on Computational Optimization, pp. 241-246, 2020 Gerald Gamrath, Timo Berthold, Domenico Salvagnin BibTeX
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Solving Supply Chain Management Problems
Conflict-Driven Heuristics for Mixed Integer Programming INFORMS Journal on Computing, 33(2), pp. 706-720, 2020 (preprint available as ZIB-Report 19-08) Jakob Witzig, Ambros Gleixner PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Conflict-Free Learning for Mixed Integer Programming Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2020, pp. 521-530, LNCS, 2020 (preprint available as ZIB-Report 19-59) Jakob Witzig, Timo Berthold PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Estimating the Size of Branch-And-Bound Trees ZIB-Report 20-02 Gregor Hendel, Daniel Anderson, Pierre Le Bodic, Marc Pfetsch PDF
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Solving Supply Chain Management Problems
The SCIP Optimization Suite 7.0 ZIB-Report 20-10 Gerald Gamrath, Daniel Anderson, Ksenia Bestuzheva, Wei-Kun Chen, Leon Eifler, Maxime Gasse, Patrick Gemander, Ambros Gleixner, Leona Gottwald, Katrin Halbig, Gregor Hendel, Christopher Hojny, Thorsten Koch, Pierre Le Bodic, Stephen J. Maher, Frederic Matter, Matthias Miltenberger, Erik Mühmer, Benjamin Müller, Marc Pfetsch, Franziska Schlösser, Felipe Serrano, Yuji Shinano, Christine Tawfik, Stefan Vigerske, Fabian Wegscheider, Dieter Weninger, Jakob Witzig PDF
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Solving Supply Chain Management Problems
Two-row and two-column mixed-integer presolve using hashing-based pairing methods EURO Journal on Computational Optimization, 8(3-4), pp. 205-240, 2020 Patrick Gemander, Wei-Kun Chen, Dieter Weninger, Leona Gottwald, Ambros Gleixner BibTeX
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Solving Supply Chain Management Problems
2019
A Status Report on Conflict Analysis in Mixed Integer Nonlinear Programming Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2019, pp. 84-94, Vol.11494, LNCS, 2019 (preprint available as ZIB-Report 18-57) Jakob Witzig, Timo Berthold, Stefan Heinz PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Computational Aspects of Infeasibility Analysis in Mixed Integer Programming ZIB-Report 19-54 Jakob Witzig, Timo Berthold, Stefan Heinz PDF
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Solving Supply Chain Management Problems
Exploiting Dual Degeneracy in Branching ZIB-Report 19-17 Timo Berthold, Gerald Gamrath, Domenico Salvagnin PDF
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Solving Supply Chain Management Problems
Local Rapid Learning for Integer Programs Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2019, pp. 67-83, Vol.11494, LNCS, 2019 (preprint available as ZIB-Report 18-56) Timo Berthold, Peter Stuckey, Jakob Witzig PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Structure-driven fix-and-propagate heuristics for mixed integer programming Mathematical Programming Computation, 11(4), pp. 675-702, 2019 (preprint available as ZIB-Report 17-56) Gerald Gamrath, Timo Berthold, Stefan Heinz, Michael Winkler PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Tackling Industrial-Scale Supply Chain Problems by Mixed-Integer Programming Journal of Computational Mathematics, Vol.37, pp. 866-888, 2019 (preprint available as ZIB-Report 16-45) Gerald Gamrath, Ambros Gleixner, Thorsten Koch, Matthias Miltenberger, Dimitri Kniasew, Dominik Schlögel, Alexander Martin, Dieter Weninger PDF (ZIB-Report)
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Solving Supply Chain Management Problems
2018
A fast Flow based Heuristic for MIP modelled SCM Problems Master's thesis, Technische Universität Berlin, Thorsten Koch (Advisor), 2018 Jenia Scheizel BibTeX
Solving Supply Chain Management Problems
Adaptive Algorithmic Behavior for Solving Mixed Integer Programs Using Bandit Algorithms OR 2018: International Conference on Operations Research, Operations Research 2018 Proceedings, 2018 (accepted for publication, preprint available as ZIB-Report 18-36) Gregor Hendel, Matthias Miltenberger, Jakob Witzig PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Adaptive Large Neighborhood Search for Mixed Integer Programming Mathematical Programming Computation, 2018 (under review, preprint available as ZIB-Report 18-60) Gregor Hendel PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Clairvoyant Restarts in Branch-and-Bound Search Using Online Tree-Size Estimation AAAI-19: Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence, 2018 (accepted for publication, preprint available as ZIB-Report 19-11) Daniel Anderson, Gregor Hendel, Pierre Le Bodic, Jan Merlin Viernickel PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Exploring the Numerics of Branch-and-Cut for Mixed Integer Linear Optimization Operations Research Proceedings 2017, pp. 151-157, 2018 (preprint available as ZIB-Report 17-43) Matthias Miltenberger, Ted Ralphs, Daniel Steffy PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Feature-Based Algorithm Selection for Mixed Integer Programming ZIB-Report 18-17 Alexander Georges, Ambros Gleixner, Gorana Gojic, Robert Lion Gottwald, David Haley, Gregor Hendel, Bartlomiej Matejczyk PDF
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Solving Supply Chain Management Problems
Measuring the impact of branching rules for mixed-integer programming Operations Research Proceedings 2017, pp. 165-170, 2018 (preprint available as ZIB-Report 17-34) Gerald Gamrath, Christoph Schubert PDF (ZIB-Report)
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Solving Supply Chain Management Problems
The SCIP Optimization Suite 6.0 ZIB-Report 18-26 Ambros Gleixner, Michael Bastubbe, Leon Eifler, Tristan Gally, Gerald Gamrath, Robert Lion Gottwald, Gregor Hendel, Christopher Hojny, Thorsten Koch, Marco Lübbecke, Stephen J. Maher, Matthias Miltenberger, Benjamin Müller, Marc Pfetsch, Christian Puchert, Daniel Rehfeldt, Franziska Schlösser, Christoph Schubert, Felipe Serrano, Yuji Shinano, Jan Merlin Viernickel, Matthias Walter, Fabian Wegscheider, Jonas T. Witt, Jakob Witzig PDF
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Solving Supply Chain Management Problems
2017
Conflict Driven Diving for Mixed Integer Programming ZIB-Report 17-69 Jakob Witzig PDF
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Solving Supply Chain Management Problems
Distributed Domain Propagation 16th International Symposium on Experimental Algorithms (SEA 2017), pp. 6:1-6:11, Vol.75, Leibniz International Proceedings in Informatics (LIPIcs), 2017 (preprint available as ZIB-Report 16-71) Robert Lion Gottwald, Stephen J. Maher, Yuji Shinano PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Experiments with Conflict Analysis in Mixed Integer Programming Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2017, pp. 211-222, Vol.10335, LNCS, 2017 (preprint available as ZIB-Report 16-63) Jakob Witzig, Timo Berthold, Stefan Heinz PDF (ZIB-Report)
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Solving Supply Chain Management Problems
From feasibility to improvement to proof: three phases of solving mixed-integer programs Optimization Methods and Software, 33(3), pp. 499-517, 2017 (preprint available as ZIB-Report 16-78) Timo Berthold, Gregor Hendel, Thorsten Koch PDF (ZIB-Report)
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Solving Supply Chain Management Problems
The SCIP Optimization Suite 4.0 ZIB-Report 17-12 Stephen J. Maher, Tobias Fischer, Tristan Gally, Gerald Gamrath, Ambros Gleixner, Robert Lion Gottwald, Gregor Hendel, Thorsten Koch, Marco Lübbecke, Matthias Miltenberger, Benjamin Müller, Marc Pfetsch, Christian Puchert, Daniel Rehfeldt, Sebastian Schenker, Robert Schwarz, Felipe Serrano, Yuji Shinano, Dieter Weninger, Jonas T. Witt, Jakob Witzig PDF
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Solving Supply Chain Management Problems
The SCIP Optimization Suite 5.0 ZIB-Report 17-61 Ambros Gleixner, Leon Eifler, Tristan Gally, Gerald Gamrath, Patrick Gemander, Robert Lion Gottwald, Gregor Hendel, Christopher Hojny, Thorsten Koch, Matthias Miltenberger, Benjamin Müller, Marc Pfetsch, Christian Puchert, Daniel Rehfeldt, Franziska Schlösser, Felipe Serrano, Yuji Shinano, Jan Merlin Viernickel, Stefan Vigerske, Dieter Weninger, Jonas T. Witt, Jakob Witzig PDF
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Solving Supply Chain Management Problems
2016
Exploiting Solving Phases for Mixed-Integer Programs Operations Research Proceedings 2015, pp. 3-9, 2016 (preprint available as ZIB-Report 15-64) Gregor Hendel PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Iterative Refinement for Linear Programming INFORMS Journal on Computing, 28(3), pp. 449-464, 2016 (preprint available as ZIB-Report 15-15) Ambros Gleixner, Daniel Steffy, Kati Wolter PDF (ZIB-Report)
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Solving Supply Chain Management Problems
PySCIPOpt: Mathematical Programming in Python with the SCIP Optimization Suite ZIB-Report 16-64 (Appeared in: Mathematical Software – ICMS 2016, Volume 9725, Pages 301-307) Stephen J. Maher, Matthias Miltenberger, João Pedro Pedroso, Daniel Rehfeldt, Robert Schwarz, Felipe Serrano PDF
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Solving Supply Chain Management Problems
Verifying Integer Programming Results ZIB-Report 16-58 (F. Eisenbrand and J. Koenemann, eds., Integer Programming and Combinatorial Optimization: 19th International Conference, IPCO 2017) Kevin K. H. Cheung, Ambros Gleixner, Daniel Steffy PDF
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Solving Supply Chain Management Problems
2015
Branching on Multi-aggregated Variables Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2015, pp. 141-156, Vol.9075, Lecture Notes in Computer Science, 2015 (preprint available as ZIB-Report 15-10) Gerald Gamrath, Anna Melchiori, Timo Berthold, Ambros Gleixner, Domenico Salvagnin PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Enhancing MIP Branching Decisions by Using the Sample Variance of Pseudo Costs Integration of AI and OR Techniques in Constraint Programming, pp. 199-214, Vol.9075, Lecture Notes in Computer Science, 2015 (preprint available as ZIB-Report 15-28) Gregor Hendel PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Optimization in the Real World Mathematics for Industry (MFI), Vol.13, Springer Tokyo Heidelberg New York Dordrecht London, 2015, ISBN: 978-4-431-55419-6 Katsuki Fujisawa, Yuji Shinano, Hayato Waki BibTeX
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Solving Supply Chain Management Problems
Progress in presolving for mixed integer programming Mathematical Programming Computation, 7(4), pp. 367-398, 2015 (preprint available as ZIB-Report 13-48) Gerald Gamrath, Thorsten Koch, Alexander Martin, Matthias Miltenberger, Dieter Weninger PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Reoptimization Techniques in MIP Solvers pp. 181-192, Vol.9125, Experimental Algorithms, Lecture Notes in Computer Science, 2015, ISBN: 978-3-319-20086-6 (preprint available as ZIB-Report 15-24) Gerald Gamrath, Benjamin Hiller, Jakob Witzig PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Structure-Based Primal Heuristics for Mixed Integer Programming Optimization in the Real World, Springer Japan, pp. 37-53, 2015, ISBN: 978-4-431-55419-6 (preprint available as ZIB-Report 15-26) Gerald Gamrath, Timo Berthold, Stefan Heinz, Michael Winkler PDF (ZIB-Report)
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Solving Supply Chain Management Problems
2014
Improving strong branching by domain propagation EURO Journal on Computational Optimization, 2(3), pp. 99-122, 2014 (preprint available as ZIB-Report 13-47) Gerald Gamrath PDF (ZIB-Report)
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Solving Supply Chain Management Problems
Shift-and-Propagate Journal of Heuristics, 21(1), pp. 73-106, 2014 (preprint available as ZIB-Report 13-03) Timo Berthold, Gregor Hendel PDF (ZIB-Report)
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Solving Supply Chain Management Problems
2013
Improving strong branching by propagation Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, Vol.7874, pp. 347-354, 2013 (preprint available as ZIB-Report 12-46) Gerald Gamrath PDF (ZIB-Report)
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Solving Supply Chain Management Problems
2011
Rounding and Propagation Heuristics for Mixed Integer Programming Operations Research Proceedings 2011, pp. 71-76, 2011 (preprint available as ZIB-Report 11-29) Gregor Hendel, Timo Berthold, Tobias Achterberg PDF (ZIB-Report)
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Solving Supply Chain Management Problems
2010
Experiments with a Generic Dantzig-Wolfe Decomposition for Integer Programs Experimental Algorithms, Vol.6049, pp. 239-252, 2010 Gerald Gamrath, Marco Lübbecke BibTeX
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Solving Supply Chain Management Problems