Item type |
文献 / Documents(1) |
公開日 |
2021-06-25 |
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アクセス権 |
open access |
資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
出版社版DOI |
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識別子タイプ |
DOI |
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関連識別子 |
https://doi.org/10.1155/2020/5649821 |
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言語 |
ja |
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関連名称 |
10.1155/2020/5649821 |
出版タイプ |
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出版タイプ |
VoR |
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出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
タイトル |
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タイトル |
Two-Stage Robust Optimization for the Orienteering Problem with Stochastic Weights |
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言語 |
en |
著者 |
Shang, Ke
Chan, Felix T. S.
カルンガル, スティフィン ギディンシ
寺田, 賢治
Feng, Zuren
Ke, Liangjun
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抄録 |
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内容記述タイプ |
Abstract |
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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. |
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言語 |
en |
書誌情報 |
en : Complexity
巻 2020,
p. 5649821,
発行日 2020-11-16
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収録物ID |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
10762787 |
収録物ID |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
10990526 |
収録物ID |
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収録物識別子タイプ |
NCID |
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収録物識別子 |
AA11038146 |
出版者 |
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出版者 |
Hindawi |
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言語 |
en |
出版者 |
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出版者 |
Wiley |
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言語 |
en |
権利情報 |
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言語 |
en |
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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 |
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識別子 |
372835 |
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識別子タイプ |
URI |
言語 |
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言語 |
eng |