Theory of Parameterized Complexity for Local Search-Type Computation
Project/Area Number |
17H01698
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Research Category |
Grant-in-Aid for Scientific Research (B)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Theory of informatics
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Research Institution | Nagoya University |
Principal Investigator |
Ono Hirotaka 名古屋大学, 情報学研究科, 教授 (00346826)
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Co-Investigator(Kenkyū-buntansha) |
柳浦 睦憲 名古屋大学, 情報学研究科, 教授 (10263120)
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Project Period (FY) |
2017-04-01 – 2021-03-31
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Project Status |
Completed (Fiscal Year 2022)
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Budget Amount *help |
¥9,620,000 (Direct Cost: ¥7,400,000、Indirect Cost: ¥2,220,000)
Fiscal Year 2020: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2019: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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Keywords | 組合せ最適化 / グラフ最適化 / 近傍構造 / パラメータ化計算量 / 近似アルゴリズム / 均衡計算 / 無秩序の代償 / 安定性の代償 / アルゴリズム / 局所探索法 / メタ戦略 / パラメータ化計算量 パラメータ化アルゴリズム / パラメータ化アルゴリズム |
Outline of Final Research Achievements |
This research conducts parameterized analyses of local and neighborhood search, which are basic frameworks on which many meta-heuristic algorithms are based. Meta-heuristics are promising approaches for (NP-hard) combinatorial optimization problems. However, their theoretical analyses are not very successful, meaning that metaheuristic algorithms with good performance are based on the craftsmanship of algorithm designers. To fill the gap, we study local search-type algorithms from the viewpoint of parameterized analyses of neighborhood systems in the solution space. Many results were obtained over six years, including an extension of the research period by COVID-19. Many research results were obtained from the viewpoint of parameterized computational complexity for neighborhood search/local search, which was initially planned, and some of these results were extended to bounding equilibria such as Price of Anarchy (POA) and Price of Stability (PoA), in algorithmic game theory.
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Academic Significance and Societal Importance of the Research Achievements |
組合せ最適化問題の重要性は社会のIT化・DX化に伴い,一層強く認識されるようになった.メタヒューリスティクスは多様な制約を持つ組合せ最適化問題を実践的に解く有望なアプローチであるが,理論的な裏付けに乏しいという問題がある.本研究はメタヒューリスティクスのエンジンとなる局所探索に関してパラメータ化計算量の観点から新たな「理論的な裏付け」を与えることを目指したものである.今回得られた結果は多岐にわたるが,その中でも局所探索の有用性を示すもの・困難性を示すもの(パラメータを固定したとしてもPLS完全等)がが,これらは高性能メタヒューリスティクスアルゴリズムを設計する上で有用な指針になると考えられる.
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Report
(5 results)
Research Products
(128 results)
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[Journal Article] Parameterized Complexity of (A,l)-Path Packing2020
Author(s)
Belmonte Remy、Hanaka Tesshu、Kanzaki Masaaki、Kiyomi Masashi、Kobayashi Yasuaki、Kobayashi Yusuke、Lampis Michael、Ono Hirotaka、Otachi Yota
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Journal Title
Lecture Notes in Computer Science
Volume: 12126
Pages: 43-55
DOI
ISBN
9783030489656, 9783030489663
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Graph orientation with splits2020
Author(s)
Yuichi Asahiro, Jeper Jansson, Eiji Miyano, Hesam Nikpey, Hirotaka Ono
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Journal Title
Theoretical Computer Science
Volume: 844
Pages: 16-25
DOI
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Hedonic Seat Arrangement Problems2020
Author(s)
Hans L. Bodlaender, Tesshu Hanaka, Lars Jaffke, Hirotaka Ono, Yota Otachi, Tom C. van der Zanden
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Journal Title
Proceedings of the 19th International Conference on Autonomous Agents and Multiagent Systems, AAMAS '20, Auckland, New Zealand
Volume: -
Pages: 1777-1779
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Peer Reviewed / Int'l Joint Research
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[Journal Article] Parameterized Complexity of Safe Set2019
Author(s)
Remy Belmonte, Tesshu Hanaka, Ioannis Katsikarelis, Michael Lampis, Hirotaka Ono, Yota Otachi
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Journal Title
Proceedings of the 11th International Conference on Algorithms and Complexity (CIAC 2019)
Volume: 11485
Pages: 38-49
DOI
ISBN
9783030174019, 9783030174026
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Graph Orientation with Edge Modifications2019
Author(s)
Asahiro Yuichi、Jansson Jesper、Miyano Eiji、Ono Hirotaka、T. P. Sandhya
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Journal Title
Proc. 13th International Frontiers of Algorithmics Workshop
Volume: LNCS11458
Pages: 38-50
DOI
ISBN
9783030181253, 9783030181260
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Safe sets in graphs: Graph classes and structural parameters2018
Author(s)
Raquel Agueda, Nathann Cohen, Shinya Fujita, Sylvain Legay, Yannis Manoussakis, Yasuko Matsui, Leandro Montero, Reza Naserasr, Hirotaka Ono, Yota Otachi, Tadashi Sakuma, Zsolt Tuza, Renyu Xu
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Journal Title
Journal of Combinatorial Optimization
Volume: 印刷中
Issue: 4
Pages: 1221-1242
DOI
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Graph Orientation with Splits2018
Author(s)
Asahiro Yuichi、Jansson Jesper、Miyano Eiji、Nikpey Hesam、Ono Hirotaka
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Journal Title
Proceedings of 5th ISCO2018
Volume: LNCS10856
Pages: 52-63
DOI
ISBN
9783319961507, 9783319961514
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] On the Maximum Weight Minimal Separator2017
Author(s)
Tesshu Hanaka, Hans L. Bodlaender, Tom C. van der Zanden, Hirotaka Ono
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Journal Title
Theory and Applications of Models of Computation 2017 (TAMC2017), Lecture Notes in Computer Science
Volume: 10185
Pages: 304-318
DOI
ISBN
9783319559100, 9783319559117
Related Report
Peer Reviewed / Int'l Joint Research
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