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基于反向?qū)W習(xí)模型的多目標(biāo)進(jìn)化算法
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國家自然科學(xué)基金項(xiàng)目(51475142)


Multi-objective Evolutionary Algorithm Based on Opposition-based Learning Model
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    摘要:

    針對復(fù)雜多目標(biāo)優(yōu)化問題,提出一種基于分解機(jī)制和反向?qū)W習(xí)模型的多目標(biāo)進(jìn)化算法。該算法在基于分解機(jī)制的多目標(biāo)進(jìn)行算法的框架下,引入反向?qū)W習(xí)模型,該模型具有較好的局部尋優(yōu)能力。在種群進(jìn)化的過程中,反向?qū)W習(xí)模型和差分進(jìn)化機(jī)制自適應(yīng)的相互配合,能夠較好地平衡算法的全局搜索與局部尋優(yōu)能力。采用國際公認(rèn)的具有復(fù)雜Pareto Set的LZ09系列測試問題進(jìn)行實(shí)驗(yàn)驗(yàn)證,并與MOEA/D—DE、GDE3、NSGA—II和SPEA2等方法比較,實(shí)驗(yàn)結(jié)果表明,所提方法能夠獲得收斂性、分布性及延展性較好的Pareto最優(yōu)解集。為了研究算法在求解約束問題的性能,將其應(yīng)用于減速器多目標(biāo)優(yōu)化設(shè)計(jì)問題中,結(jié)果表明了該算法獲得Pareto前端較均勻,說明其算法具有求解約束問題的能力和工程有效性。

    Abstract:

    A multi-objective evolutionary algorithm cooperated with decomposition mechanism and opposition-based learning model was proposed for solving complex multi-objective optimization problems. Under the framework of multi-objective evolutionary algorithm based on decomposition, the opposition-based learning model was introduced into the algorithm. The model improved the algorithm’s exploitation. During the evolution process, the opposition-based learning model facilitated the local optimization and the differential evolution strategy enhanced the global research for the new algorithm. The opposition-based learning strategy and differential evolution were in coordination to balance its exploration and exploitation. The benchmark LZ09 series of internationally recognized with complicated Pareto sets were adopted to verify its effectiveness. The proposed multi-objective evolutionary algorithm based on opposition-based learning model was compared with MOEA/D based on DE (MOEA/D—DE), the third evolution step of generalized differential evolution (GDE3), fast and elitist multi-objective genetic algorithm (NSGA—II) and improving strength Pareto evolutionary algorithm (SPEA2), the results showed that the proposed algorithm can obtain Pareto fronts with good convergence, diversity and wild coverage. In order to analyze the algorithm to solve the problem of performance constraints, the proposed algorithm was applied to solve the multi-objective optimization design of speed reducer. The results showed that the Pareto front obtained by the algorithm was uniform, which demonstrated its good performance in solving practical problem with constraints and engineering effectiveness.

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王亞輝,吳金妹,賈晨輝.基于反向?qū)W習(xí)模型的多目標(biāo)進(jìn)化算法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2016,47(4):326-332,342. Wang Yahui, Wu Jinmei, Jia Chenhui. Multi-objective Evolutionary Algorithm Based on Opposition-based Learning Model[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(4):326-332,342.

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  • 收稿日期:2015-12-03
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  • 在線發(fā)布日期: 2016-04-10
  • 出版日期: 2016-04-10