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2011 Fiscal Year Final Research Report

Development of the method for estimating calculation efficiency of Genetic Algorithms by means of Markov process theory

Research Project

  • PDF
Project/Area Number 21500219
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionUniversity of Miyazaki

Principal Investigator

FURUTANI Hiroshi  宮崎大学, 工学部, 教授 (80145151)

Project Period (FY) 2009 – 2011
Keywords進化計算 / マルコフ過程 / 計算効率
Research Abstract

Recently, it is widely recognized the efficiency of Genetic Algorithms(GAs). However, the theoretical investigation of GA calculation process is still far from satisfactory level. In this study, we carried out mathematical analysis of GA calculation by using Markov process theory. To this end, we divided the GA into sub-problems called schema analysis, and developed methods to estimate the convergence time of GA calculation and probability of obtaining desired solution. We also studied the relations between these quantities and GA parameters such as mutation rate and population size.

  • Research Products

    (13 results)

All 2012 2011 2010 2009

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (3 results)

  • [Journal Article] Stochastic analysis of One-Max problem by using Markovchain2012

    • Author(s)
      Q. Ma, Y. Zhang, K. YamamoriM. Sakamoto and H. Furutani
    • Journal Title

      Proceedings of the 17th Int. Symposium on Artificial Life and Robotics

      Pages: 141-145

    • Peer Reviewed
  • [Journal Article] 遺伝的アルゴリズムにおける最適解がはじめて出現する世代数の実験的解析、情報処理学会誌2011

    • Author(s)
      張玉安, 馬青蓮, 坂本眞人, 古谷博史
    • Journal Title

      数理モデル化と応用

      Volume: 4 Pages: 82-86

    • Peer Reviewed
  • [Journal Article] Markov chain analysis of Genetic Algorithms for 3-SAT problem2011

    • Author(s)
      Q. Ma, Y. Zhang, K. Yamamori, M. Sakamoto, H. Furutani
    • Journal Title

      Proceedings of 7th International Conference on Natural Computation

      Pages: 1127-1131

    • Peer Reviewed
  • [Journal Article] Effects of population size on the performance ofgenetic algorithms and roleof crossover2010

    • Author(s)
      Y. Zhang, Q. Ma, M. Sakamoto, H. Furutani
    • Journal Title

      International Journal of Artificial Life and Robotics

      Volume: 15 Pages: 239-243

    • Peer Reviewed
  • [Journal Article] Estimation of averagehitting time in GeneticAlgorithms by Markov chain2010

    • Author(s)
      Q. Ma, Y. Zhang, M. Sakamoto, H. Furutani
    • Journal Title

      The Fifteenth International Symposium on Artificial Life and Robotics

      Pages: 1-5

    • Peer Reviewed
  • [Journal Article] Analysis of fixation and extinction of schema in Genetic Algorithm2010

    • Author(s)
      Q. Ma, Y. Zhang, M. Sakamoto, H. Furutani
    • Journal Title

      Proceedings of International Congress on Computer Applications and Computational Science

      Pages: 1-6

    • Peer Reviewed
  • [Journal Article] Study of computational performance of genetic algorithm for 3-satisfiability problem2010

    • Author(s)
      Q. Ma, Y. Zhang, M. Sakamoto, H. Furutani
    • Journal Title

      The Sixteenth International Symposium on Artificial Life and Robotics

      Pages: 1-5

    • Peer Reviewed
  • [Journal Article] 遺伝的アルゴリズムにおける最適解出現分布のマルコフ連鎖による研究、情報処理学会論文誌2009

    • Author(s)
      古谷博史
    • Journal Title

      数理モデル化と応用

      Volume: 2 Pages: 54-63

    • Peer Reviewed
  • [Journal Article] Effects of string length and mutation rate on success probability of Genetic Algorithm2009

    • Author(s)
      Y. Zhang、M. Sakamoto、H. Furutani
    • Journal Title

      Proceedings of Fifth International Conference on Natural Computation

      Volume: 4 Pages: 211-216

    • Peer Reviewed
  • [Journal Article] Effect of mutation to the distribution of optimum solution in Genetic Algorithm2009

    • Author(s)
      Y. Zhang、M. Sakamoto、H. Furutani
    • Journal Title

      Proceedings of Int. Workshop on Natural Computing

      Volume: 2 Pages: 380-387

    • Peer Reviewed
  • [Presentation] OneMax問題における収束予測時間の検討2012

    • Author(s)
      古賀仁信、坂本眞人、古谷博史
    • Organizer
      情報処理学会MPS研究会
    • Place of Presentation
      指宿市
    • Year and Date
      2012-03-02
  • [Presentation] OneMax問題と非対称突然変異の関係について2011

    • Author(s)
      古賀仁信、馬青蓮、坂本眞人、古谷博史
    • Organizer
      情報処理学会MPS研究会
    • Place of Presentation
      室蘭市
    • Year and Date
      2011-09-16
  • [Presentation] 遺伝的アルゴリズムにおける最適解出現世代数のマルコフ連鎖による予測2009

    • Author(s)
      張玉安、馬青蓮、坂本眞人、古谷博史
    • Organizer
      情報処理学会MPS研究会
    • Place of Presentation
      東京都
    • Year and Date
      2009-12-17

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Published: 2013-07-31  

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