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Analysis of Lower Bounds for the Multislope Ski-Rental Problem
http://hdl.handle.net/10091/00020330
http://hdl.handle.net/10091/000203301d7db9db-5964-4812-bc9f-98177b8ea077
名前 / ファイル | ライセンス | アクション |
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Analysis_of_Lower_Bounds_for_the_Multislope_Ski-Rental_Problem_fujiwara_konno_fujito.pdf (1.0 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-03-09 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Analysis of Lower Bounds for the Multislope Ski-Rental Problem | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1587/transfun.E97.A.1200 | |||||
関連名称 | 10.1587/transfun.E97.A.1200 | |||||
キーワード | ||||||
主題 | online algorithm, competitive analysis, online optimization, ski-rental problems | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Fujiwara, Hiroshi
× Fujiwara, Hiroshi× Konno, Yasuhiro× Fujito, Toshihiro |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Fujiwara, Hiroshi | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.OmSVOFnU.html | |||||
出版者 | ||||||
出版者 | IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES. E97A(6): 1200-1205 (2014) | |||||
書誌情報 |
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES 巻 E97A, 号 6, p. 1200-1205, 発行日 2014 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The multislope ski-rental problem is an extension of the classical ski-rental problem, where the player has several options of paying both of a per-time fee and an initial fee, in addition to pure renting and buying options. Damaschke gave a lower bound of 3.62 on the competitive ratio for the case where arbitrary number of options can be offered. In this paper we propose a scheme that for the number of options given as an input, provides a lower bound on the competitive ratio, by extending the method of Damaschke. This is the first to establish a lower bound for each of the 5-or-more-option cases, for example, a lower bound of 2.95 for the 5-option case, 3.08 for the 6-option case, and 3.18 for the 7-option case. Moreover, it turns out that our lower bounds for the 3- and 4-option cases respectively coincide with the known upper bounds. We therefore conjecture that our scheme in general derives a matching lower and upper bound. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1745-1337 | |||||
権利 | ||||||
権利情報 | copyright©2014 IEICE | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
WoS | ||||||
表示名 | Web of Science | |||||
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