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Parameter Decision Method of Chaotic Search for Combinatorial Optimization Problem

Research Project

Project/Area Number 25870770
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Soft computing
Social systems engineering/Safety system
Research InstitutionNippon Institute of Technology (2014)
Tokyo University of Science (2013)

Principal Investigator

MATSUURA Takafumi  日本工業大学, 工学部, 助教 (70579771)

Project Period (FY) 2013-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords組合せ最適化問題 / 発見的解法 / カオスニューラルネットワーク / ソフトコンピューティング / メタ戦略 / ヒューリスティック解法
Outline of Final Research Achievements

For finding near optimal solutions of NP-hard combinatorial optimization problems, a chaotic search method has been proposed. In the method, a chaotic neural network is constructed by chaotic neurons. We have already clarified that its high searching ability depends on a statistical property of refractory effects in the chaotic neuron. However it is difficult to find optimal parameters of the refractory effect. In order to develop a method that decides optimal parameters, we confirmed relation between the values of parameters and searching abilities of the chaotic search method or a dynamics of the chaotic neuron from some numerical experiments.
We analyzed relation the searching ability and Lyapunov exponent of a single chaotic neuron. A positive Lyapunov exponent indicates that a behavior of the chaotic neuron is chaos. From some numerical experiments, we confirmed that if the Lyapunov exponents are positive, good results are obtained for a motif extraction problem.

Report

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

    (9 results)

All 2015 2014 2013

All Presentation (9 results)

  • [Presentation] A Method for Deciding Feasible Solution of Quadratic Assignment Problem from Mutually Connected Chaotic Neural Network2015

    • Author(s)
      Takafumi Matsuura and Tohru Ikeguchi
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      道の駅 浅虫温泉 ゆ~さ浅虫 大会議室(青森県,青森市)
    • Year and Date
      2015-05-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Solving Min-Max Multiple Traveling Salesman Problems by Chaotic Neural Network2014

    • Author(s)
      Takafumi Matsuura and Kazumiti Numata
    • Organizer
      International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Luzern, Switzerland
    • Year and Date
      2014-09-16
    • Related Report
      2014 Annual Research Report
  • [Presentation] Soft Tabu Search for Solving Quadratic Assignment Problems2014

    • Author(s)
      Takafumi Matsuura and Tohru Ikeguchi
    • Organizer
      第27回 回路とシステムワークショップ
    • Place of Presentation
      淡路夢舞台国際会議場 (兵庫県)
    • Year and Date
      2014-08-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] Soft Tabu Search for Solving Motif Extraction Problem2013

    • Author(s)
      Takafumi Matsuura, Numata Kazumiti, Tohru Ikeguchi
    • Organizer
      The 26th Workshop on Circuits and Systems
    • Place of Presentation
      淡路夢舞台国際会議場
    • Related Report
      2013 Research-status Report
  • [Presentation] Heuristic Method Using Soft Tabu Search for Quadratic Assignment Problems2013

    • Author(s)
      Takafumi Matsuura, Tohru Ikeguchi, Numata Kazumiti
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      宮古島マリンターミナル2階大研修室
    • Related Report
      2013 Research-status Report
  • [Presentation] Solution Decision Method of Quadratic Assignment Problem from Mutually Connected Chaotic Neural Network2013

    • Author(s)
      Takafumi Matsuura, Tohru Ikeguchi
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      サンポートホール高松
    • Related Report
      2013 Research-status Report
  • [Presentation] Chaotic Motif Sampler by Using Chaotic Nerodynamics for Solving Motif Extraction Problem2013

    • Author(s)
      Takafumi Matsuura, Tohru Ikeguchi
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      Hong Kong City University
    • Related Report
      2013 Research-status Report
  • [Presentation] How to Decide Solutions of Quadratic Assignment Problem from Chaotic Neural Network2013

    • Author(s)
      Takafumi Matsuura, Tohru Ikeguchi
    • Organizer
      2013 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Santa Fe Community Convention Center
    • Related Report
      2013 Research-status Report
  • [Presentation] Firing Decision Method of Chaotic Neural Network for Quadratic Assignment Problem2013

    • Author(s)
      Takafumi Matsuura, Tohru Ikeguchi
    • Organizer
      電子情報通信学会 ソサイエティ大会
    • Place of Presentation
      福岡工業大学
    • Related Report
      2013 Research-status Report

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

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