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多鄰域結構多目標遺傳算法
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國家自然科學基金資助項目(51275274)


Multi-neighborhood Structure Based Multi-objective Genetic Algorithm
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    摘要:

    為了解決應力約束類桁架結構的尺寸優(yōu)化多目標問題,,提出一種多領域結構的多目標遺傳算法應用于尺寸優(yōu)化設計。利用個體之間歐氏距離信息,,將種群劃分為多個領域以形成多個小生境種群,。該算法為每個個體提供一定數(shù)量的鄰居個體,,并規(guī)定只能同鄰居個體進行交叉變異操作,,通過實驗分析了不同鄰居規(guī)模對算法性能的影響,。將新算法與其他經典算法在18個標準測試函數(shù)上進行了仿真分析,,結果表明,,所得到的Pareto前端分布更加均勻且更加逼近真實Pareto前端,,具有良好的收斂性和多樣性。將該算法應用于經典的25桿空間桁架結構優(yōu)化的求解,,獲得Pareto前端更均勻,,收斂性更好,相對于其他的優(yōu)化算法具有更好的優(yōu)化效果,。該算法在程序設計,、求解空間及其方法通用性等方面表現(xiàn)出良好的性能,并且簡單,、實用,,更加適合于工程實際應用。

    Abstract:

    In order to solve the problem of multi-objective size optimization of truss structures with stress constraints, a multi-objective optimization algorithm with multi-neighborhood was proposed. Based on the Euclidean distance between individuals, the population was divided into multi-neighborhood to form several niche populations. A number of individuals were assigned to each cell as neighborhood by the proposed algorithm. The individuals were only allowed interacting with each other within its neighborhood and generating offspring. The influence of different sizes of neighbors on the performance was analyzed through simulation experiments. The test results on 18 benchmarks revealed that the proposed algorithm outperformed some state-of-the-art algorithm in terms of covered area and diversity, which showed good uniformity and diversity. The obtained Pareto front showed good uniformity and diversity when solving the classic multi-objective optimization problem of 25-bar truss structure. The algorithm showed good performance in program design, solution space and generality and so on, which was very simple, practical and suitable for engineering practice.

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朱大林,詹騰,張屹,鄭小東,張燈皇,余竹瑪.多鄰域結構多目標遺傳算法[J].農業(yè)機械學報,2015,46(4):309-315,324. Zhu Dalin, Zhan Teng, Zhang Yi, Zheng Xiaodong, Zhang Denghuang, Yu Zhuma. Multi-neighborhood Structure Based Multi-objective Genetic Algorithm[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(4):309-315,324.

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  • 收稿日期:2014-06-18
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  • 在線發(fā)布日期: 2015-04-10
  • 出版日期: 2015-04-10
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