Probabilistic analysis of Online Bin Coloring algorithms via Stochastic Comparison
- This paper proposes a new method for probabilistic analysis of online algorithms that is based on the notion of stochastic dominance. We develop the method for the Online Bin Coloring problem introduced by Krumke et al. Using methods for the stochastic comparison of Markov chains we establish the strong result that the performance of the online algorithm GreedyFit is stochastically dominated by the performance of the algorithm OneBin for any number of items processed. This result gives a more realistic picture than competitive analysis and explains the behavior observed in simulations.
|Author:||Benjamin Hiller, Tjark Vredeveld|
|Tag:||Markov-Ketten ; Online-Algorithmen ; Probabilistische Analyse; Stochastische Dominanz |
Markov chains ; online algorithms ; probabilistic analysis; stochastic dominance
|Date of first Publication:||2008/04/21|
|Series (Serial Number):||ZIB-Report (08-18)|
|Published in:||Appeared in: Proceedings of the 16th Annual European Symposium on Algorithms, ESA 2008. Springer 2008. Lecture Notes in Computer Science, 5193, pp. 528-539|