New discrete Online-Optimization methods for in-house logistic systems using various reoptimization models will be evaluated in theory and simulation.

Many logistic systems in production planning require a reliable online control. In this project, a special class of online optimization algorithms is being studied: reoptimization algorithms. Whenever the state of the system changes, an offline optimization problem (auxiliary problem) is solved, based on the data currently available. This auxiliary problem may be the offline version of the original online optimization problem (standard auxiliary problem): the same objective is optimized subject to the same constraints, but only the already known input data are used. This can lead to undesired behavior.

The goal of this project is to find suitable auxiliary problems to obtain, e.g., a stable online behavior of the system. We conjecture that auxiliary problems with low sensitivity are appropriate.

Publications

Publications

2006
LP-Based Local Approximation for Markov Decision Problems 2006 (preprint available as ) Stefan Heinz, Volker Kaibel, Matthias Peinhardt, Jörg Rambau, Andreas Tuchscherer BibTeX
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
Reoptimization Gaps versus Model Errors in Online-Dispatching of Service Units for ADAC DISAM, 154(13), pp. 1897-1907, 2006 Benjamin Hiller, Sven Krumke, Jörg Rambau BibTeX
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
The Online Target Date Assignment Problem Proc. 3rd Workshop on Approximation and Online Algorithms, Thomas Erlebach, Giuseppe Persiano (Eds.), pp. 230-243, Vol.3879, Lecture Notes in Computer Science, 2006 (preprint available as ZIB-Report 05-61) Stefan Heinz, Sven Krumke, Nicole Megow, Jörg Rambau, Andreas Tuchscherer, Tjark Vredeveld PDF (ZIB-Report)
BibTeX
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
2005
Policies for Online Target Date Assignment Problems: Competitive Analysis versus Expected Performance Master's thesis, 2005 Stefan Heinz PDF
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URN
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
2004
Dynamical configuration of transparent optical telecommunication networks Operations Research Proceedings, Hein Fleuren, Dick den Hertog, Peter Kort (Eds.), pp. 25-32, 2004 Andreas Tuchscherer BibTeX
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
2003
Dynamic routing algorithms in transparent optical networks Proceedings of the 7th IFIP Working Conference on Optical Network Design & Modelling (ONDM 2003), Tibor Cinkler, Tivadar Jakab, Jànos Tapolcai, Csaba Gàspàr (Eds.), pp. 293-312, 2003 (preprint available as ) Ralf Hülsermann, Monika Jäger, Diana Poensgen, Sven Krumke, Jörg Rambau, Andreas Tuchscherer BibTeX
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
Dynamical Configuration of Transparent Optical Telecommunication Networks Master's thesis, Technische Universität Berlin, 2003 Andreas Tuchscherer PDF
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URN
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
2002
Making the Yellow Angels Fly: Online Dispatching Of Service Vehicles in Real Time ZIB-Report 02-18 (Appeared in: SIAM News, Vol. 35, No. 4, (2002) pp. 10-11) Martin Grötschel, Sven Krumke, Jörg Rambau, Luis Miguel Torres PDF
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URN
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
Online-Dispatching of Automobile Service Units ZIB-Report 02-44 (Appeared in: Operations Research Proceedings 2002. Selected Papers of the International Conference on Operations Research (SOR 2002), Klagenfurt, September 2-5, 2002. U. Leopold-Wildburger et al. (eds.) Berlin: Springer 2003. Pp. 168-173) Sven Krumke, Jörg Rambau, Luis Miguel Torres PDF
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URN
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization
2001
Real-Time Dispatching of Guided and Unguided Automobile Service Units with Soft Time Windows ZIB-Report 01-22 (Appeared in: Algorithms - ESA 2002. Proceedings of the 10th European Symposium on Algorithms, Rome, Italy, September 17-21, 2002. R. Möhring et al. (eds.) Berlin: Springer 2002. LNCS 2461, pp. 637-648) Sven Krumke, Jörg Rambau, Luis Miguel Torres PDF
BibTeX
URN
Stability, Sensitivity, and Robustness in Combinatorial Online Optimization