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Two-Stage Robust Optimization for the Orienteering Problem with Stochastic Weights

https://tokushima-u.repo.nii.ac.jp/records/2008810
https://tokushima-u.repo.nii.ac.jp/records/2008810
f28c2c49-c0a4-43aa-9a2e-bab273a4f3e8
名前 / ファイル ライセンス アクション
complex_2020_5649821.pdf complex_2020_5649821.pdf (1.38 MB)
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Item type 文献 / Documents(1)
公開日 2021-06-25
アクセス権
アクセス権 open access
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
出版社版DOI
関連識別子 https://doi.org/10.1155/2020/5649821
関連名称 10.1155/2020/5649821
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
タイトル
タイトル Two-Stage Robust Optimization for the Orienteering Problem with Stochastic Weights
著者 Shang, Ke

× Shang, Ke

en Shang, Ke

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Chan, Felix T. S.

× Chan, Felix T. S.

en Chan, Felix T. S.

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カルンガル, スティフィン ギディンシ

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徳島大学 教育研究者総覧 82302/profile-ja.html
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ja-Kana カルンガル, スティフィン ギディンシ

en Karungaru, Stephen Githinji

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寺田, 賢治

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徳島大学 教育研究者総覧 10760/profile-ja.html
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ja 寺田, 賢治
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en Terada, Kenji

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Feng, Zuren

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Ke, Liangjun

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抄録
内容記述 In this paper, the two-stage orienteering problem with stochastic weights is studied, where the first-stage problem is to plan a path under the uncertain environment and the second-stage problem is a recourse action to make sure that the length constraint is satisfied after the uncertainty is realized. First, we explain the recourse model proposed by Evers et al. (2014) and point out that this model is very complex. Then, we introduce a new recourse model which is much simpler with less variables and less constraints. Based on these two recourse models, we introduce two different two-stage robust models for the orienteering problem with stochastic weights. We theoretically prove that the two-stage robust models are equivalent to their corresponding static robust models under the box uncertainty set, which indicates that the two-stage robust models can be solved by using common mathematical programming solvers (e.g., IBM CPLEX optimizer). Furthermore, we prove that the two two-stage robust models are equivalent to each other even though they are based on different recourse models, which indicates that we can use a much simpler model instead of a complex model for practical use. A case study is presented by comparing the two-stage robust models with a one-stage robust model for the orienteering problem with stochastic weights. The numerical results of the comparative studies show the effectiveness and superiority of the proposed two-stage robust models for dealing with the two-stage orienteering problem with stochastic weights.
書誌情報 en : Complexity

巻 2020, p. 5649821, 発行日 2020-11-16
収録物ID
収録物識別子タイプ ISSN
収録物識別子 10762787
収録物ID
収録物識別子タイプ ISSN
収録物識別子 10990526
収録物ID
収録物識別子タイプ NCID
収録物識別子 AA11038146
出版者
出版者 Hindawi
出版者
出版者 Wiley
権利情報
権利情報 This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
EID
識別子 372835
言語
言語 eng
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