Semidefinite Optimization Approach to Estimate the Locations of Nodes in the Sensor Network with High Accuracy

• Project/Area Number: 20560052
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Engineering fundamentals
• Research Institution: University of Tsukuba
• Principal Investigator: YOSHISE Akiko University of Tsukuba, 大学院・システム情報工学研究科, 教授 (50234472)
• Co-Investigator(Kenkyū-buntansha): YAMAMOTO Yoshitsugu 筑波大学, 大学院・システム情報工学研究科, 教授 (00119033) ; KUNO Takahito 筑波大学, 大学院・システム情報工学研究科, 教授 (00205113) ; SHIGENO Maiko 筑波大学, 大学院・システム情報工学研究科, 准教授 (40272687) ; HACHIMORI Masahiro 筑波大学, 大学院・システム情報工学研究科, 准教授 (00344862) ; 吉瀬 章子 筑波大学, 大学院・システム情報工学研究科, 教授 (50234472)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: センサネットワーク / 最適化 / 地理情報システム / 半正定値計画問題 / 内点法 / 位置同定

Research Abstract

The study aims to efficiently estimate the location of N censors in r-dimensional space using the information of the location of p anchors (usually p is very small) and the partial distance matrix of the graph of sensors and anchors. We propose two methods for dividing the set of sensors : a method using the degree of each sensor and a method using clique structures in the graph. Our numerical experiences report that the method using clique structures is more stable with respect to changes of parameters.

Research Products

• [Journal Article] Obstructions to Shellability, Partitionability, and Sequential Cohen-Macaulayness (2011)
  • Author(s): Masahiro Hachimori, Kenji Kashiwabara
  • Journal Title: Journal of Combinatorial Theory, Series A Vol.118, No.5(出版予定) Pages: 1608-1623
  • Peer Reviewed
• [Journal Article] 最大密度部分集合問題と近似2分探索による解法 (2010)
  • Author(s): 張明超, 高橋里司, 繁野麻衣子
  • Journal Title: 日本オペレーションズリサーチ学会和文論文誌 Vol.53 Pages: 1-13
  • NAID: 110008006532
  • Peer Reviewed
• [Journal Article] On Optimization over the Doubly Nonnegative Cone (2010)
  • Author(s): 松川恭明, 吉瀬章子
  • Journal Title: Proceedings of 2010 IEEE Multi-Conference on Systems and Control Pages: 13-19
  • Peer Reviewed
• [Journal Article] Complementarity Problems over Symmetric Cones : A Survey of Recent Developments in Several Aspects (2010)
  • Author(s): 吉瀬章子
  • Journal Title: Discussion Paper Series No.1262 Pages: 1-35
• [Journal Article] Metric-Preserving Reduction of Earth Mover's Dlstance (2010)
  • Author(s): Yuichi Takano, Yoshitsugu Yamamoto
  • Journal Title: Asla-Paclflc Journal of Operational Research Vol.27, No.1 Pages: 39-54
  • Peer Reviewed
• [Journal Article] Linear Optimization over Efficient Sets (2010)
  • Author(s): Takahito Kuno
  • Journal Title: 数理解析研究所講究録 Vol.1676 Pages: 230-238
• [Journal Article] 二次割当て問題に対するcopositive行列を用いた緩和法について (2010)
  • Author(s): 松川恭明, 吉瀬章子
  • Journal Title: 統計数理研究所共同研究リボート「最適化:モデリングとアルゴリズム」 Vol.252 Pages: 124-137
• [Journal Article] センサーネットワークローカライゼーションに対するSDPを用いた緩和法とその効果について (2010)
  • Author(s): 白畑敬, 吉瀬章子
  • Journal Title: 統計数理研究所共同研究リポート「最適化:モデリングとアルゴリズム」 Vol.252 Pages: 115-123
• [Journal Article] マンハッタン距離行列の二次割当て問題に対するSDP緩和について (2010)
  • Author(s): 木村康宏, 吉瀬章子
  • Journal Title: 統計数理研究所共同研究リポート「最適化:モデリングとアルゴリズム」 Vol.252 Pages: 138-149
• [Journal Article] Complementarity Problems over Symmetric Cones : A Survey of Recent Developments in Several Aspects (2010)
  • Author(s): Akiko Yoshise
  • Journal Title: Department of Social Systems and Management Discussions Paper Series Volume: 1262 Pages: 1-35
• [Journal Article] On Optimization over the Doubly Nonnegative Cone (2010)
  • Author(s): Akiko Yoshise, Yasuaki Matsukawa
  • Journal Title: Proceedings of 2010 IEEE Multi-Conference on Systems and Control Volume: 3 Pages: 13-19
  • Peer Reviewed
• [Journal Article] センサーネットワークローカライゼーションに対するSDPを用いた緩和法とその効果について (2010)
  • Author(s): 白畑敬, 吉瀬章子
  • Journal Title: 統計数理共同研究レポート「最適化:モデリングとアルゴリズム23」 (掲載決定・印刷中)
• [Journal Article] 二次割り当て問題に対てる完全正行列を用いた緩和について (2010)
  • Author(s): 松川恭明, 吉瀬章子
  • Journal Title: 統計数理共同研究レポート「最適化:モデリングとアルゴリズム23」 (掲載決定・印刷中)
• [Journal Article] マンハッタン距離行列の二次割り当て問題に対するSDP緩和について (2010)
  • Author(s): 木村康宏, 吉瀬章子
  • Journal Title: 統計数理共同研究レポート「最適化:モデリングとアルゴリズム23」 (掲載決定・印刷中)
• [Journal Article] Homogeneous Algorithms for Monotone Complementarity Problems over Symmetric Cones (2009)
  • Author(s): 吉瀬章子
  • Journal Title: Pacific Journal of Optimization Vol.5, No.2 Pages: 313-337
  • Peer Reviewed
• [Journal Article] Homogeneous Algorithms for Monotone Complementarity Problems over Symmetric Cones (2009)
  • Author(s): Akiko Yoshise
  • Journal Title: Pacific Journal of Optimization 5 Pages: 313-337
  • Peer Reviewed
• [Journal Article] On Optimization over the Doubly Nonnegative Cone (2009)
  • Author(s): Yasuaki Matsukawa, Akiko Yoshise
  • Journal Title: Department of Social Systems and Management Discussions Paper Series 1250 Pages: 1-15
• [Journal Article] Homogeneous Algorithms for Monotone Complementarity Problems over Symmetric Cones (2009)
  • Author(s): Akiko Yoshise
  • Journal Title: Pacific Journal of Optimization (掲載決定)
• [Presentation] Complementarity Problems over Symmetric Cones : A Brief Survey of Recent Developements (2010)
  • Author(s): 吉瀬章子
  • Organizer: ICOTA 8
  • Place of Presentation: 上海,中国
  • Year and Date: 2010-12-11
• [Presentation] Recent Developments in Complementarity Problems over Symmetric Cones (2010)
  • Author(s): 吉瀬章子
  • Organizer: INFORMS Annual Meeting
  • Place of Presentation: Austin, Texas
  • Year and Date: 2010-11-09
• [Presentation] 20101109 (2010)
  • Author(s): INFORMS Annual Meeting
  • Organizer: Austin, Texas(USA)
  • Place of Presentation: Austin, Texas(USA)(招待講演)
  • Year and Date: 2010-11-09
• [Presentation] Optimization over the Doubly Non-Negative Cone (2010)
  • Author(s): 吉瀬章子
  • Organizer: Workshop on Combinatorial Geometry and Algorithms
  • Place of Presentation: 東京工業大学
  • Year and Date: 2010-09-21
• [Presentation] Optimization over the Doubly Non-Negative Cone (2010)
  • Author(s): Akiko Yoshise
  • Organizer: Workshop on Combinatorial Geometry and Algorithms
  • Place of Presentation: 東京工業大学(東京都)(招待講演)
  • Year and Date: 2010-09-21
• [Presentation] Recent Developments in Complementarity Problems over Symmetric Cones (2010)
  • Author(s): Akiko Yoshise
  • Organizer: Workshop on Combinatorial Geometry and Algorithms
  • Place of Presentation: 東京工業大学(東京都)(招待講演)
  • Year and Date: 2010-09-21
• [Presentation] Optimization over the Doubly Non-Negative Cone (2010)
  • Author(s): 吉瀬章子
  • Organizer: IEEE Multi-Conference on Systems and Control
  • Place of Presentation: パシフィコ横浜
  • Year and Date: 2010-09-08
• [Presentation] Optimization over the Doubly Non-Negative Cone (2010)
  • Author(s): Akiko Yoshise
  • Organizer: IEEE Multi-Conference on Systems and Control
  • Place of Presentation: パシフィコ横浜(神奈川県)
  • Year and Date: 2010-09-08
• [Presentation] Optimization over the Doubly Non-Negative Cone (2010)
  • Author(s): 吉瀬章子
  • Organizer: International Workshop on Optimization and Its Applications
  • Place of Presentation: 筑波大学
  • Year and Date: 2010-08-01
• [Presentation] Optimization over the Doubly Non-Negative Cone (2010)
  • Author(s): Akiko Yoshise
  • Organizer: International Workshop on Optimization and Its Applications
  • Place of Presentation: 筑波大学(茨城県)(招待講演)
  • Year and Date: 2010-08-01
• [Presentation] Symmetric Cone Complementarity Problem (2010)
  • Author(s): 吉瀬章子
  • Organizer: OR Seminar at Tilburg University
  • Place of Presentation: Tilberg, The Netherlands
  • Year and Date: 2010-06-17
• [Presentation] Symmetric Cone Complementarity Problem (2010)
  • Author(s): Akiko Yoshise
  • Organizer: OR Seminar at Tilburg University
  • Place of Presentation: Tilberg, The Netherlands(招待講演)
  • Year and Date: 2010-06-17
• [Presentation] Optimization over the Doubly Non-Negative Cone (2009)
  • Author(s): 松川恭明, 吉瀬章子
  • Organizer: INFORMS Annual Meeting
  • Place of Presentation: Hilton and Convention Center, San Diego, USA
  • Year and Date: 2009-10-11
• [Presentation] On Interior Point Trajectories for Conic Complementarity Problems (2009)
  • Author(s): 吉瀬章子
  • Organizer: 20th ISMP Conference
  • Place of Presentation: Chicago Marriott Downtown, Chicago, USA
  • Year and Date: 2009-08-26
• [Presentation] マンハッタン距離行列の二次割り当て問題に対するSDP緩和について (2009)
  • Author(s): 木村康宏, 吉瀬章子
  • Organizer: 研究集会「最適化:モデリングとアルゴリズム」
  • Place of Presentation: 統計数理研究所
  • Year and Date: 2009-03-26
• [Presentation] 二次割り当て問題に対する完全正行列を用いた緩和について (2009)
  • Author(s): 松川恭明, 吉瀬章子
  • Organizer: 研究集会「最適化:モデリングとアルゴリズム」
  • Place of Presentation: 統計数理研究所
  • Year and Date: 2009-03-26
• [Presentation] センサーネットワークローカライゼーションに対するSDPを用いた緩和法とその効果について (2009)
  • Author(s): 白畑敬, 吉瀬章子
  • Organizer: 日本オペレーションズ・リサーチ学会2009年春季研究発表会
  • Place of Presentation: 筑波大学
  • Year and Date: 2009-03-17
• [Remarks] ホームページ等
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