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  1. 論文誌(ジャーナル)
  2. Vol.53
  3. No.6

Rogo, a TSP-based Paper Puzzle: Optimization Approaches

https://ipsj.ixsq.nii.ac.jp/records/82603
https://ipsj.ixsq.nii.ac.jp/records/82603
250a7436-6f8d-46a8-9d92-d24b883e03cb
名前 / ファイル ライセンス アクション
IPSJ-JNL5306006.pdf IPSJ-JNL5306006 (1.2 MB)
Copyright (c) 2012 by the Information Processing Society of Japan
オープンアクセス
Item type Journal(1)
公開日 2012-06-15
タイトル
タイトル Rogo, a TSP-based Paper Puzzle: Optimization Approaches
タイトル
言語 en
タイトル Rogo, a TSP-based Paper Puzzle: Optimization Approaches
言語
言語 eng
キーワード
主題Scheme Other
主題 [特集:パズルの数理] combinatorial optimzation, puzzles, enumeration algorithms
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
著者所属
University of Canterbury
著者所属
University of Canterbury
著者所属(英)
en
University of Canterbury
著者所属(英)
en
University of Canterbury
著者名 Shane, Dye

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Shane, Dye

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NicolaWardPetty

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NicolaWardPetty

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著者名(英) Shane, Dye

× Shane, Dye

en Shane, Dye

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Nicola, WardPetty

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en Nicola, WardPetty

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論文抄録
内容記述タイプ Other
内容記述 Rogo® is a new type of mathematical puzzle, invented in 2009. Rogo is a prize-collecting subset-selection TSP on a grid. Grid squares can be blank, forbidden, or show a reward value. The object is to accumulate the biggest score using a given number of steps in a loop around the grid. This paper introduces Rogo as a discrete optimisation problem. An IP formulation is given for the problem with two alternative sets of subtour elimination constraints. Enumeration-based algorithms are also proposed based on properties of solutions and Rogo instances. Some results of computational experiments are reported.

------------------------------
This is a preprint of an article intended for publication Journal of
Information Processing(JIP). This preprint should not be cited. This
article should be cited as: Journal of Information Processing Vol.20(2012) No.3 (online)
DOI http://dx.doi.org/10.2197/ipsjjip.20.672
------------------------------
論文抄録(英)
内容記述タイプ Other
内容記述 Rogo® is a new type of mathematical puzzle, invented in 2009. Rogo is a prize-collecting subset-selection TSP on a grid. Grid squares can be blank, forbidden, or show a reward value. The object is to accumulate the biggest score using a given number of steps in a loop around the grid. This paper introduces Rogo as a discrete optimisation problem. An IP formulation is given for the problem with two alternative sets of subtour elimination constraints. Enumeration-based algorithms are also proposed based on properties of solutions and Rogo instances. Some results of computational experiments are reported.

------------------------------
This is a preprint of an article intended for publication Journal of
Information Processing(JIP). This preprint should not be cited. This
article should be cited as: Journal of Information Processing Vol.20(2012) No.3 (online)
DOI http://dx.doi.org/10.2197/ipsjjip.20.672
------------------------------
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AN00116647
書誌情報 情報処理学会論文誌

巻 53, 号 6, 発行日 2012-06-15
ISSN
収録物識別子タイプ ISSN
収録物識別子 1882-7764
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