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Optimal Online Algorithms for the Multi-Objective Time Series Search Problem

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Optimal Online Algorithms for the Multi-Objective Time Series Search Problem

Material type
文書・図像類
Author
長谷川, 駿ほか
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Publication date
2015-06
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Paper
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Tiedemann, et al. [Proc. of WALCOM, LNCS 8973, 2015, pp.210-221] defined multi-objective online problems and the competitive analysis for multi-object...

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Paper

Material Type
文書・図像類
Author/Editor
長谷川, 駿
Hasegawa, Shun
伊東, 利哉
Itoh, Toshiya
Publication Date
2015-06
Publication Date (W3CDTF)
2015-06
Text Language Code
eng
Target Audience
一般
Note (General)
Tiedemann, et al. [Proc. of WALCOM, LNCS 8973, 2015, pp.210-221] defined multi-objective online problems and the competitive analysis for multi-objective online problems and showed that (1) with respect to the worst component competitive analysis, the online algorithm reservation price policy RPP-HIGH is best possible for the multi-objective time series search problem, (2) with respect to the arithmetic mean component competitive analysis, the online algorithm RPP-MULT is best possible for the bi-objective time series search problem; (3) with respect to the geometric mean component competitive analysis, the online algorithm RPP-MULT is best possible for the bi-objective time series search problem. In this paper, we present a simple~online algorithm Balanced Price Policy $BPP_{k}$ for the multi-objective ($k$-objective) time series search problem, and show that the algorithm $BPP_{k}$ is best possible with respect to any measure of the competitive analysis. In addition, we derive exact values of the competitive ratio for the multi-objective time series search problem with respect to the worst component, the arithmetic mean component, and the geometric mean component competitive analysis.
identifier:oai:t2r2.star.titech.ac.jp:50279705
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