基于分解机制的多目标蝙蝠算法
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国家自然科学基金资助项目(51475142)


Multi-objective Bat Algorithm Based on Decomposition
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    摘要:

    在分析蝙蝠算法性能基础上,将蝙蝠算法融入分解机制,提出了一种基于分解机制的多目标蝙蝠算法。为了进一步提高算法的多样性,将差分进化策略引入算法中。对14个具有复杂Pareto前沿的多目标优化问题(LZ—09系列和ZDT系列)测试不同邻域规模对算法性能的影响,结果表明新算法的邻域规模为20时性能最优;将其与MOEA/D—DE和NSGA—II算法进行对比分析,结果显示该算法的分布性、收敛性和多样性均优于另外两种算法。为了验证其求解含有约束问题的性能,将其应用于滑动轴承多目标优化设计问题中,获得的Pareto前沿分布均匀,表明算法具有工程实用性,是求解复杂高维多目标问题的有效方法。

    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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王亚辉,贾晨辉,赵仁鹏.基于分解机制的多目标蝙蝠算法[J].农业机械学报,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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  • 在线发布日期: 2015-04-10
  • 出版日期: 2015-04-10