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Development of optimization methods using nonlinear dynamics for applications to real problems

Research Project

Project/Area Number 25330282
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Soft computing
Research InstitutionChiba University

Principal Investigator

OKAMOTO TAKASHI  千葉大学, 工学(系)研究科(研究院), 准教授 (40451752)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords大域的最適化 / カオス / システム工学 / ソフトコンピューティング / 数理工学 / 多目的最適化 / 複雑系 / Selfish routing game
Outline of Final Research Achievements

This project studied to develop optimization methods using nonlinear dynamics for applications to real problems. As a result, this project proposed (1) a chaotic optimization method without parameter tuning, (2) a constrained optimization method using chaotic search trajectory generated from the Lagrange-quasi-Newton dynamics, (3) Pareto optimal solution visualization methods using the self-organizing maps and its derivative methods, and (4) a support vector machine learning method and a fast solution method for the selfish routing game and its expansion problems using the variable metric gradient projection method.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (38 results)

All 2016 2015 2014 2013

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (35 results) (of which Int'l Joint Research: 5 results)

  • [Journal Article] A Pareto optimal solution visualization method using an improved growing hierarchical self-organizing maps based on the batch learning2016

    • Author(s)
      N. Suzuki, T. Okamoto, S. Koakutsu
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 20

    • NAID

      130007673105

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Visualization of Pareto Optimal Solution Sets using the Growing Hierarchical Self-organizing Maps2015

    • Author(s)
      鈴木 直人, 岡本 卓, 小圷 成一
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 135 Issue: 7 Pages: 908-919

    • DOI

      10.1541/ieejeiss.135.908

    • NAID

      130005086273

    • ISSN
      0385-4221, 1348-8155
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Analysis and improvements of the Pareto optimal solution visualization method using the self-organizing maps2015

    • Author(s)
      Atsushi Hironaka, Takashi Okamoto, Seiichi Koakutsu, Hironori Hirata
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration

      Volume: Vol.8, No.1 Issue: 1 Pages: 34-43

    • DOI

      10.9746/jcmsi.8.34

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] An optimization benchmark problem based on the energy plant model in the smart-community2016

    • Author(s)
      R. Suzuki, T. Okamoto
    • Organizer
      IEEJ International Workshop on Sensing, Actuation, Motion Control, and Optimization 2016
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-03-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Analysis of the optimization benchmark problem for series-parallel switching of photovoltaic modules under various conditions2016

    • Author(s)
      T. Okamoto, T. Hayashi
    • Organizer
      IEEJ International Workshop on Sensing, Actuation, Motion Control, and Optimization 2016
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-03-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 過去のデータを考慮したラジアル基底関数ネットワークの学習法2016

    • Author(s)
      渡邉 悠和, 岡本 卓, 小圷 成一
    • Organizer
      計測自動制御学会 第54回システム工学部会研究会
    • Place of Presentation
      東京都千代田区
    • Year and Date
      2016-03-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] 可変計量勾配射影法とSMOを用いたSVM学習2016

    • Author(s)
      寺尾 啓, 岡本 卓, 小圷 成一
    • Organizer
      計測自動制御学会 第54回システム工学部会研究会
    • Place of Presentation
      東京都千代田区
    • Year and Date
      2016-03-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] 冗長経路の除去による多重制約型Selfish Routing Gameの均衡解探索の高速化2015

    • Author(s)
      吉田 皓一, 岡本 卓, 小圷 成一
    • Organizer
      電気学会 電子・情報・システム部門 システム / 産業応用部門 産業計測制御 合同研究会
    • Place of Presentation
      新潟県上越市
    • Year and Date
      2015-12-05
    • Related Report
      2015 Annual Research Report
  • [Presentation] GPUを用いたカオス最適化手法の高速化2015

    • Author(s)
      唐子 顕児, 岡本 卓, 小圷 成一
    • Organizer
      電気学会 電子・情報・システム部門 システム / 産業応用部門 産業計測制御 合同研究会
    • Place of Presentation
      新潟県上越市
    • Year and Date
      2015-12-05
    • Related Report
      2015 Annual Research Report
  • [Presentation] 自己組織化マップとその派生法を用いたパレート解の可視化手法2015

    • Author(s)
      鈴木 直人, 小林 祐介, 岡本 卓, 小圷 成一
    • Organizer
      計測自動制御学会 システム・情報部門学術講演会 2015
    • Place of Presentation
      北海道函館市
    • Year and Date
      2015-11-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] 可変計量勾配射影法のSVM学習と多重制約型Selfish routing gameへの応用2015

    • Author(s)
      岡本 卓, 吉田 皓一, 寺尾 啓, 相吉 英太郎, 小圷 成一
    • Organizer
      計測自動制御学会 システム・情報部門学術講演会 2015
    • Place of Presentation
      北海道函館市
    • Year and Date
      2015-11-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] 冗長経路の除去によるSelfish routing gameの均衡解探索の高速化2015

    • Author(s)
      吉田 皓一, 岡本 卓, 小圷 成一
    • Organizer
      計測自動制御学会 システム・情報部門学術講演会 2015
    • Place of Presentation
      北海道函館市
    • Year and Date
      2015-11-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Equilibrium solution search on a selfish routing problem with multiple constraints using the variable metric gradient projection method2015

    • Author(s)
      K. Yoshida, T. Okamoto, S. Koakutsu
    • Organizer
      IEEE International Conference on Systems, Man, and Cybernetics 2015
    • Place of Presentation
      Hong Kong SAR, China
    • Year and Date
      2015-10-09
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 可変計量勾配射影法を用いたサポートベクターマシン学習法2015

    • Author(s)
      寺尾 啓, 岡本 卓, 相吉 英太郎, 小圷 成一
    • Organizer
      第25回 インテリジェント・システム・シンポジウム
    • Place of Presentation
      宮城県仙台市
    • Year and Date
      2015-09-24
    • Related Report
      2015 Annual Research Report
  • [Presentation] バッチ型GHSOMを用いたパレート解集合の可視化2015

    • Author(s)
      鈴木 直人, 岡本 卓, 小圷 成一
    • Organizer
      第25回 インテリジェント・システム・シンポジウム
    • Place of Presentation
      宮城県仙台市
    • Year and Date
      2015-09-24
    • Related Report
      2015 Annual Research Report
  • [Presentation] Optimal battery assignment method by response surface method with radial basis function networks against N-1 line accidents with node voltage constraint2015

    • Author(s)
      N. Takase, T. Okamoto, S. Koakutsu
    • Organizer
      平成27年 電気学会 電子・情報・システム部門大会
    • Place of Presentation
      長崎県長崎市
    • Year and Date
      2015-08-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] SOM-NGを用いたパレート解の可視化2015

    • Author(s)
      小林 祐介, 岡本 卓, 小圷 成一
    • Organizer
      平成27年 電気学会 電子・情報・システム部門大会
    • Place of Presentation
      長崎県長崎市
    • Year and Date
      2015-08-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] Optimal assignment of the battery for the power system by the response surface method with the radial basis function networks2015

    • Author(s)
      N. Takase, T. Okamoto, S. Koakutsu
    • Organizer
      SICE Annual Conference 2015
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2015-07-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Visualization of Pareto optimal solutions using MIGSOM2015

    • Author(s)
      N. Suzuki, T. Okamoto, S. Koakutsu
    • Organizer
      IEEE Congress on Evolutionary Computation 2015
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2015-05-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ファイゲンバウムシナリオに基づくカオス最適化手法の初期離散化幅推定2015

    • Author(s)
      鈴木 慎一朗, 岡本 卓, 小圷 成一
    • Organizer
      計測自動制御学会 第52回システム工学部会研究会
    • Place of Presentation
      東京都中央区
    • Year and Date
      2015-03-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Overview of optimization benchmark problems for industrial applications and review of conventional problems2015

    • Author(s)
      T. Okamoto
    • Organizer
      the 1st IEEJ international workshop on sensing, actuation, and motion control
    • Place of Presentation
      Nagoya, Japan
    • Year and Date
      2015-03-09 – 2015-03-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Formulation and solutions for daily operation scheduling problem of water supply pump2015

    • Author(s)
      K. Yokokawa, T. Okamoto, A. Kawagoe, Y. Ueno, K. Mori
    • Organizer
      the 1st IEEJ international workshop on sensing, actuation, and motion control
    • Place of Presentation
      Nagoya, Japan
    • Year and Date
      2015-03-09 – 2015-03-10
    • Related Report
      2014 Research-status Report
  • [Presentation] An introduction of the energy plant operational planning problem: A formulation and solutions2015

    • Author(s)
      R. Suzuki, T. Okamoto
    • Organizer
      the 1st IEEJ international workshop on sensing, actuation, and motion control
    • Place of Presentation
      Nagoya, Japan
    • Year and Date
      2015-03-09 – 2015-03-10
    • Related Report
      2014 Research-status Report
  • [Presentation] ラジアル基底関数ネットワークを用いた応答曲面法による電力系統用蓄電池の最適配置2014

    • Author(s)
      高瀬 信彰, 岡本 卓, 小圷 成一
    • Organizer
      電気学会 電子・情報・システム部門 システム / 産業応用部門 産業計測制御 合同研究会
    • Place of Presentation
      茨城県大洗町
    • Year and Date
      2014-12-06
    • Related Report
      2014 Research-status Report
  • [Presentation] 多目的差分進化法と自己組織化マップを用いた対話型満足パレート解探索法2014

    • Author(s)
      山田 勇樹, 岡本 卓, 小圷 成一
    • Organizer
      計測自動制御学会 システム・情報部門学術講演会 2013
    • Place of Presentation
      岡山県岡山市
    • Year and Date
      2014-11-21 – 2014-11-23
    • Related Report
      2014 Research-status Report
  • [Presentation] Constrained optimization using the chaotic sequential quadratic approximation type Lagrange quasi-Newton method2014

    • Author(s)
      T. Okamoto
    • Organizer
      IEEE Int. Conf. on Systems, Man, and Cybernetics 2014
    • Place of Presentation
      San Diego, USA
    • Year and Date
      2014-10-05 – 2014-10-08
    • Related Report
      2014 Research-status Report
  • [Presentation] A design method of complex network growth model robust over the cascade failure2014

    • Author(s)
      H. Mizuno, T. Okamoto, S. Koakutsu
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      Sapporo, Japan
    • Year and Date
      2014-09-09 – 2014-09-12
    • Related Report
      2014 Research-status Report
  • [Presentation] マップの対称変換を導入した成長階層型自己組織化マップを用いたパレート解集合の可視化2014

    • Author(s)
      鈴木 直人, 岡本 卓, 小圷 成一
    • Organizer
      平成26年 電気学会 電子・情報・システム部門大会
    • Place of Presentation
      島根県松江市
    • Year and Date
      2014-09-03 – 2014-09-06
    • Related Report
      2014 Research-status Report
  • [Presentation] ベンチマーク問題の実装と公開2014

    • Author(s)
      岡本卓
    • Organizer
      平成26年電気学会全国大会
    • Place of Presentation
      愛媛県松山市
    • Related Report
      2013 Research-status Report
  • [Presentation] 上水道送水ポンプ運転計画問題とその解法例2014

    • Author(s)
      横川勝也, 岡本卓
    • Organizer
      平成26年電気学会全国大会
    • Place of Presentation
      愛媛県松山市
    • Related Report
      2013 Research-status Report
  • [Presentation] エネルギープラント運用計画問題と最適化手法の適用例2014

    • Author(s)
      岡本卓, 足立直紀, 鈴木亮平, 小圷成一, 平田廣則
    • Organizer
      平成26年電気学会全国大会
    • Place of Presentation
      愛媛県松山市
    • Related Report
      2013 Research-status Report
  • [Presentation] Gamification of the optimization problem and multi-point type optimization methods2013

    • Author(s)
      T. Okamoto, E. Aiyoshi
    • Organizer
      IEEE Int. Conf. on Systems, Man, and Cybernetics 2013
    • Place of Presentation
      Manchester, UK
    • Related Report
      2013 Research-status Report
  • [Presentation] Chaotic optimization method without initial sampling parameter tuning ― Empirical comparisons of two approaches in various problems2013

    • Author(s)
      T. Okamoto, H. Hirata
    • Organizer
      IEEE Int. Conf. on Systems, Man, and Cybernetics 2013
    • Place of Presentation
      Manchester, UK
    • Related Report
      2013 Research-status Report
  • [Presentation] Constrained optimization using the chaotic Lagrange quasi-Newton method ― A basic study of its search trajectory and its search capability2013

    • Author(s)
      T. Okamoto, H. Hirata
    • Organizer
      SICE Annual Conference 2013
    • Place of Presentation
      Nagoya, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] GHSOM を用いたパレート解集合の可視化2013

    • Author(s)
      鈴木直人, 岡本卓, 小圷成一, 平田廣則
    • Organizer
      電気学会 システム研究会 「確率最適化アルゴリズム全般」
    • Place of Presentation
      愛知県名古屋市
    • Related Report
      2013 Research-status Report
  • [Presentation] 自己組織化マップを用いたパレート解の可視化手法の解析2013

    • Author(s)
      弘中篤史,岡本卓, 小圷成一,平田廣則
    • Organizer
      計測自動制御学会 システム・情報部門学術講演会 2013
    • Place of Presentation
      滋賀県大津市
    • Related Report
      2013 Research-status Report
  • [Presentation] 最適化問題のゲーム化変換と多点型最適化手法2013

    • Author(s)
      相吉英太郎, 岡本卓
    • Organizer
      第23回 インテリジェント・システム・シンポジウム
    • Place of Presentation
      福岡県福岡市
    • Related Report
      2013 Research-status Report
  • [Presentation] 指数関数型拡大ラグランジュ関数を用いたカオスラグランジュ関数法とその改良2013

    • Author(s)
      森雅成,岡本卓,小圷成一,平田廣則
    • Organizer
      平成25年 電気学会 電子・情報・システム部門大会
    • Place of Presentation
      北海道北見市
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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