Jakub Kozik
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Dynamic Threshold Strategy for Universal Best Choice Problem
dmtcs:2767 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2010,
DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
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https://doi.org/10.46298/dmtcs.2767
Dynamic Threshold Strategy for Universal Best Choice ProblemArticle
Authors: Jakub Kozik 1
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Jakub Kozik
1 Theoretical Computer Science Department [Krakow]
We propose a new strategy for universal best choice problem for partially ordered sets. We present its partial analysis which is sufficient to prove that the probability of success with this strategy is asymptotically strictly greater than 1/4, which is the value of the best universal strategy known so far.
Volume: DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
Małgorzata Sulkowska, 2012, The best choice problem for upward directed graphs, Discrete Optimization, 9, 3, pp. 200-204, 10.1016/j.disopt.2012.04.001.