Many problems are naturally online problems. They require decisions to be made on the basis of incomplete data. In online optimization the input is modelled as a (finite) sequence of requests which are given step-by-step to an online algorithm. After a request becomes known, the online algorithm must make a decision without information about future requests. Depending on the specific problem, the decisions of the algorithm might be further constrained.

The goal of this project is to obtain new results for the construction and analysis of online algorithms. We want to overcome the weaknesses of competitive analysis (the "standard tool" for theoretical analysis of online algorithms), which is often overly pessimistic.

Publications

2008
Probabilistic analysis of Online Bin Coloring algorithms via Stochastic Comparison ZIB-Report 08-18 (Appeared in: Proceedings of the 16th Annual European Symposium on Algorithms, ESA 2008. Springer 2008. Lecture Notes in Computer Science, 5193, pp. 528-539) Benjamin Hiller, Tjark Vredeveld PDF
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Combinatorial Online Planning
2005
Probabilistic Competitive Analysis of a Dial-a-Ride Problem on Trees Under High Load ZIB-Report 05-56 Benjamin Hiller PDF
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Combinatorial Online Planning
2004
Bad Guys are Rare: Probabilistic Analysis of an Elementary Dial-a-Ride Problem Master's thesis, TU Ilmenau, 2004 Benjamin Hiller PDF
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Combinatorial Online Planning
2002
Non-Abusiveness Helps: An O(1)-Competitive Algorithm for Minimizing the Maximum Flow Time in the Online Traveling Salesman Problem ZIB-Report 02-36 (Appeared in: Proc. of the 5th Int. Workshop on Approximation Algorithms for Combinatorial Optimization. Springer 2002. LNCS, 2462, pp. 200-214) Sven Krumke, Luigi Laura, Maarten Lipmann, Alberto Marchetti-Spaccamela, Willem de Paepe, Diana Poensgen, Leen Stougie PDF
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Combinatorial Online Planning
Online Call Admission in Optical Networks with Larger Wavelength Demands ZIB-Report 02-22 (Appeared in: Graph-Theoretic Concepts in Computer Science. 28 Intern. Workshop, WG 2002, Cesky Krumlov, Czech Republic, June 13-15, 2002, revised papers. L. Kucera (ed.) Springer 2002. LNCS 2573. Pp. 333-344) Sven Krumke, Diana Poensgen PDF
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Combinatorial Online Planning
Online Optimization: Competitive Analysis and Beyond Habilitation, 2002 Sven Krumke PDF
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Combinatorial Online Planning
2001
Online Bin-Coloring ZIB-Report 01-07 (Appeared in: Proc. of the 9th European Symposium on Algorithms, Springer 2001, LNCS 2161, pp. 74-84) Sven Krumke, Willem de Paepe, Jörg Rambau, Leen Stougie PDF
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Combinatorial Online Planning
2000
News from the Online Traveling Repairman ZIB-Report 00-08 (A rev. vers. - together with W. E. de Paepe and D. Poensgen - appeared in: Proc. of the 26th Int. Symp. on Math. Foundations of Computer Science, Springer 2001, LNCS, 2136, pp. 487-499 and in Theoretical Computer Sceince 295 (2003 pp. 279-294) Sven Krumke PDF
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Combinatorial Online Planning
1999
Euler is Standing in Line ZIB-Report SC-99-06 (Appeared in: Discrete Appl. Math. 113 (2001) 87-107. A prel. vers. appeared in: Proc. of the 25nd Intern. Workshop on Graph-Theoretic Concepts in Computer Science (WG'99), Lecture Notes in Computer Science, vol. 1665, Springer (1999) 42-54) Dietrich Hauptmeier, Sven Krumke, Jörg Rambau, Hans-Christoph Wirth. PDF
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Combinatorial Online Planning