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基于分解機制的多目標蝙蝠算法
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國家自然科學基金資助項目(51475142)


Multi-objective Bat Algorithm Based on Decomposition
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    摘要:

    在分析蝙蝠算法性能基礎(chǔ)上,,將蝙蝠算法融入分解機制,,提出了一種基于分解機制的多目標蝙蝠算法,。為了進一步提高算法的多樣性,將差分進化策略引入算法中,。對14個具有復雜Pareto前沿的多目標優(yōu)化問題(LZ—09系列和ZDT系列)測試不同鄰域規(guī)模對算法性能的影響,結(jié)果表明新算法的鄰域規(guī)模為20時性能最優(yōu),;將其與MOEA/D—DE和NSGA—II算法進行對比分析,,結(jié)果顯示該算法的分布性、收斂性和多樣性均優(yōu)于另外兩種算法,。為了驗證其求解含有約束問題的性能,,將其應用于滑動軸承多目標優(yōu)化設(shè)計問題中,獲得的Pareto前沿分布均勻,表明算法具有工程實用性,,是求解復雜高維多目標問題的有效方法,。

    Abstract:

    The bat algorithm was integrated into decomposition mechanism on the basis of its evaluation and a multi-objective bat algorithm based on decomposition (MOBA/D) was proposed. In order to improve the algorithm diversity, the differential evolutionary strategy was introduced into MOBA/D. The performances of MOBA/D on 14 multi-objective optimization problems were tested, which included family benchmark functions of LZ—09 and ZDT with different neighborhood scales effect on the performance of the algorithm. The result indicated that MOBA/D had the best performance with neighborhood size of 20. Compared with MOEA/D—DE and NSGA—II, the simulation results showed that MOBA/D can obtain a more uniform distribution of Pareto solution set and better convergence as well as diversity than those of state-of-the-art multi-objective metaheuristics. For further performance analysis of MOBA/D on constraint problem, the optimization design of sliding bearing was solved to demonstrate the feasibility and effectiveness. The good performance on convergence and diversity of the obtained Pareto set demonstrated that MOBA/D was suitable for engineering practice, which was an effective way for solving complex and high dimensional multi-objective optimization problems.

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王亞輝,賈晨輝,趙仁鵬.基于分解機制的多目標蝙蝠算法[J].農(nóng)業(yè)機械學報,2015,46(4):316-324. Wang Yahui, Jia Chenhui, Zhao Renpeng. Multi-objective Bat Algorithm Based on Decomposition[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(4):316-324.

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  • 收稿日期:2014-12-18
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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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