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Global Optimization of Mixed Integer Programming Problems via Continuous Programming and Its Applications to Information Technology

Research Project

Project/Area Number 20310082
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionUniversity of Tsukuba

Principal Investigator

KUNO Takahito  University of Tsukuba, 大学院・システム情報工学研究科, 教授 (00205113)

Co-Investigator(Kenkyū-buntansha) HIROYUKI Kudo  筑波大学, 大学院・システム情報工学研究科, 教授 (60221933)
YAMAMOTO Mikio  筑波大学, 大学院・システム情報工学研究科, 教授 (40210562)
KAWABE Tooru  筑波大学, 大学院・システム情報工学研究科, 准教授 (40224844)
YOSHISE Akiko  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 *help
¥9,750,000 (Direct Cost: ¥7,500,000、Indirect Cost: ¥2,250,000)
Fiscal Year 2010: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2009: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2008: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords最適化アルゴリズム / 混合整数計画問題 / 非線形計画問題 / 大域的最適化 / 機械翻訳 / 画像処理 / 組込みシステム / 情報技術
Research Abstract

Many of problems caused in developing and operating information technology are formulated into mixed integer programming problems. Those problems are rarely solved to optimality, but processed heuristically or approximated into convex programming problems, because the number of discrete variables is enormous in general. In this research, we dealt with mixed integer programming problems which can be applied to information technology, and reformulated them into equivalent continuous optimization problems. We also developed some efficient global optimization algorithms for solving the resulting problems.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (28 results)

All 2011 2010 2009 2008 Other

All Journal Article (19 results) (of which Peer Reviewed: 5 results) Presentation (6 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Global optimization in computer vision2011

    • Author(s)
      久野誉人
    • Journal Title

      数理解析研究所講究録 Vol.1726

      Pages: 112-122

    • Related Report
      2010 Final Research Report
  • [Journal Article] Global optimization in computer vision2011

    • Author(s)
      T.Kuno
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1726 Pages: 112-122

    • Related Report
      2010 Annual Research Report
  • [Journal Article] A rectangular branch-and-bound algorithm for solving a monotonic optimization2010

    • Author(s)
      Buckland, P.K., T.Kuno, I.Tsushima
    • Journal Title

      数理解析研究所講究録 Vol.1676

      Pages: 223-229

    • Related Report
      2010 Final Research Report
  • [Journal Article] Minimax robust RHC method for two mobile robots cooperative carrying task problem2010

    • Author(s)
      Kawabe, T.
    • Journal Title

      International Journal of Applied Mathematics and Informatics Vol.1

      Pages: 41-49

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Linear optimization over efficient sets2010

    • Author(s)
      久野誉人
    • Journal Title

      数理解析研究所講究録 Vol.1676

      Pages: 230-237

    • Related Report
      2010 Final Research Report
  • [Journal Article] On optimization over the doubly nonnegative cone2010

    • Author(s)
      Yoshise, A., Y.Matsukawa
    • Journal Title

      Proceeding of 2010 IEEE Multi-conference on Systems and Control Vol.1

      Pages: 41-49

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] ポリゴン情報の最小トライアングルストリップ化2010

    • Author(s)
      木幡周治, 久野誉人, 徳永隆治, 長野寛
    • Journal Title

      数理解析研究所講究録 Vol.1676

      Pages: 209-222

    • Related Report
      2010 Final Research Report
  • [Journal Article] On optimization over the doubly nonnegative cone2010

    • Author(s)
      A.Yoshise, Y.Matsukawa
    • Journal Title

      Proceedings of 2010 IEEE Multi-conference on Systems and Control

      Pages: 13-19

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimax robust RHC method for two mobile robots cooperative carrying task problem2010

    • Author(s)
      T.Kawabe
    • Journal Title

      International Journal of Applied Mathematics And lnformatics

      Volume: 1 Pages: 41-49

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Linear Optimization over Efficient Sets2010

    • Author(s)
      T.Kuno
    • Journal Title

      数理解析研究所講究録「21世紀の数理計画:アルゴリズムとモデリング」 (印刷中)

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Global Optimization in the New Zealand Electricity Market2010

    • Author(s)
      P.K.Buckland, T.Kuno
    • Journal Title

      数理解析研究所講究録「21世紀の数理計画:アルゴリズムとモデリング」 (印刷中)

    • Related Report
      2009 Annual Research Report
  • [Journal Article] A Cutting Hyperplane Method for Generalized Monotone Nonlipschitzian Multivalued Variational Inequalities2010

    • Author(s)
      P.N.Anh, T.Kuno
    • Journal Title

      Proceedings of 4^<th> International Conference in High Performance Scientific Computing (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On convergence of the simplicial branch-and-bound algorithm2009

    • Author(s)
      久野誉人
    • Journal Title

      数理解析研究所講究録 Vol.1629

      Pages: 244-253

    • Related Report
      2010 Final Research Report
  • [Journal Article] マルチコア・マルチプロセッサ環境向け分枝限定アルゴリズムの研究2009

    • Author(s)
      木幡周治, 久野誉人
    • Journal Title

      数理解析研究所講究録 Vol.1629

      Pages: 225-233

    • Related Report
      2010 Final Research Report
  • [Journal Article] 多項式記憶量による非線形大域的最適化2009

    • Author(s)
      対馬伊織, 久野誉人
    • Journal Title

      数理解析研究所講究録 Vol.1629

      Pages: 194-202

    • Related Report
      2010 Final Research Report
  • [Journal Article] マルチスタート単体法による多峰関数の最適化2009

    • Author(s)
      外崎真造, 久野誉人
    • Journal Title

      数理解析研究所講究録 Vol.1629

      Pages: 142-151

    • Related Report
      2010 Final Research Report
  • [Journal Article] On Convergence of the Simplicial Branch-and-Bound Algorithm2009

    • Author(s)
      T.Kuno
    • Journal Title

      数理解析研究所講究録「21世紀の数理計画:最適化モデルとアルゴリズム」 1629

      Pages: 244-253

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Integer Programming for a Phase Alignment Problem on Statical Machine Translation2009

    • Author(s)
      M.Yamamoto, S.Umetani, M.Koshikawa. T.Matsui
    • Journal Title

      数理解析研究所講究録「21世紀の数理計画:最適化モデルとアルゴリズム」 1629

      Pages: 87-93

    • Related Report
      2008 Annual Research Report
  • [Journal Article] An Approach to Robust Minimax Receding Horizon Control Problems2009

    • Author(s)
      T.Kawabe
    • Journal Title

      数理解析研究所講究録「21世紀の数理計画:最適化モデルとアルゴリズム」 1629

      Pages: 115-124

    • Related Report
      2008 Annual Research Report
  • [Presentation] A branch-and-bound algorithm for a class of computer vision problems2010

    • Author(s)
      Kuno, T., Y.Zheng
    • Organizer
      INFORMS 2010 Annual Meeting
    • Place of Presentation
      Austin, USA.
    • Year and Date
      2010-12-08
    • Related Report
      2010 Final Research Report
  • [Presentation] A branch-and-bound algorithm for a class of computer vision problems2010

    • Author(s)
      T.Kuno, Y.Zheng
    • Organizer
      INFORMS Annual Meeting
    • Place of Presentation
      Austin, USA
    • Year and Date
      2010-11-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] On Convergence of the simplicial algorithm for convex maximization2009

    • Author(s)
      Kuno, T.
    • Organizer
      20th International Symposium on Mathematical Programming
    • Place of Presentation
      Chicago, USA.
    • Year and Date
      2009-08-26
    • Related Report
      2010 Final Research Report
  • [Presentation] On Convergence of the Simplicial Algorithm for Convex Maximization2009

    • Author(s)
      T.Kuno
    • Organizer
      20th International Symposium on Mathematical Programming
    • Place of Presentation
      Chicago, USA
    • Year and Date
      2009-08-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] A cutting hyperplane method for generalized monotone nonlipschitzian multivalued variational inequalities2009

    • Author(s)
      Anh, P.N., T.Kuno
    • Organizer
      4th International Conference on High Performance Scientific Computing
    • Place of Presentation
      Hanoi, Vietnam.
    • Year and Date
      2009-03-06
    • Related Report
      2010 Final Research Report
  • [Presentation] On Convergence of the Simplicial Branch-and-Bound Algorithm with a Class of Subdivision Rules2008

    • Author(s)
      T.Kuno
    • Organizer
      The 4th Sino-Japanese Optimization Meeting
    • Place of Presentation
      台湾台南
    • Year and Date
      2008-08-28
    • Related Report
      2008 Annual Research Report
  • [Book] Handbook of Semidefinite, Cone and Polynomial Optimization(Complementary problems over symmetric cones)

    • Author(s)
      Yoshise, A.
    • Publisher
      Springer-Verlag 印刷中
    • Related Report
      2010 Final Research Report
  • [Book] Complementary problems over symmetric cones in Handbook of Semidefinite, Cone and Polynomial Optimization

    • Author(s)
      A.Yoshise
    • Publisher
      Springer-Verlag(印刷中)
    • Related Report
      2010 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.cs.tsukuba.ac.jp/~takahito/

    • Related Report
      2010 Final Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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