A Method for Solving Fuzzy Optimal Reliability Design Problem by Genetic Algorithm

  • SASAKI Masato
    Department of Industrial and Systems Engineering, Ashikaga Institute of Technology
  • YOKOTA Takao
    Department of Industrial and Systems Engineering, Ashikaga Institute of Technology
  • GEN Mitsuo
    Department of Industrial and Systems Engineering, Ashikaga Institute of Technology

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  • 遺伝的アルゴリズムによるファジィ信頼性の最適設計問題の一解法(ファジィと遺伝的アルゴリズム)

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We propose a method for solving the optimal system reliability problems considering several failure models with fuzzy goal and fuzzy constrains by introducing genetic algorithms(GA). By considering several failure modes, system designer can systematically and accurately analyze the reliability of the practical system which might be complicatedly composed of units in series and/or in parallel. Also, the proposed method can consider the fuzziness based on the system designer's subjective judgement and the fluctuation of system environment by introducing fuzzy goals and fuzzy constrains. In addition, the trade-off relationship which is generally considered conflict between system reliability required by system designer and the system constrains such as total weight, volume, cost and so on can take into account in the system designing process. Therefore, the proposed method enables the system designer to design more flexible and satisfactory system. Further, by introducing GA, the proposed method makes it easy to handle the problem with nonlinear function without any transformation and computationally advantage on memory restriction. Further, by introducing the simple GA, the proposed method can gain the precise approximate solution with relatively simple algorithms.

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