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Hybrid Biogeography Based Optimization for Constrained Numerical and Engineering Optimization

机译：基于混合生物地理的约束数值和工程优化优化

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摘要

Biogeography based optimization (BBO) is a new competitive population-based algorithm inspired by biogeography. It simulates the migration of species in nature to share information. A new hybrid BBO (HBBO) is presented in the paper for constrained optimization. By combining differential evolution (DE) mutation operator with simulated binary crosser (SBX) of genetic algorithms (GAs) reasonably, a new mutation operator is proposed to generate promising solution instead of the random mutation in basic BBO. In addition, DE mutation is still integrated to update one half of population to further lead the evolution towards the global optimum and the chaotic search is introduced to improve the diversity of population. HBBO is tested on twelve benchmark functions and four engineering optimization problems. Experimental results demonstrate that HBBO is effective and efficient for constrained optimization and in contrast with other state-of-the-art evolutionary algorithms (EAs), the performance of HBBO is better, or at least comparable in terms of the quality of the final solutions and computational cost. Furthermore, the influence of the maximum mutation rate is also investigated.
机译：基于生物地理的优化（BBO）是受生物地理启发的一种新的基于竞争的基于种群的算法。它模拟自然界中物种的迁移以共享信息。本文提出了一种用于约束优化的新型混合BBO（HBBO）。通过将差分进化（DE）突变算子与遗传算法（GA）的模拟二进制交叉算子（SBX）合理地结合，提出了一种新的突变算子来产生有希望的解决方案，而不是基本BBO中的随机突变。此外，DE突变仍被整合以更新一半的种群，以进一步引领进化走向全局最优，并且引入混沌搜索以改善种群的多样性。 HBBO已针对12个基准功能和4个工程优化问题进行了测试。实验结果表明，HBBO对于约束优化是有效且高效的，并且与其他最新的进化算法（EA）相比，HBBO的性能更好，或者至少在最终解决方案的质量方面具有可比性和计算成本。此外，还研究了最大突变率的影响。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第7期|423642.1-423642.15|共15页
  • 作者

    Mi Zengqiang; Xu Yikun; Yu Yang; Zhao Tong; Zhao Bo; Liu Liqing;

  • 作者单位

    North China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Baoding 071003, Peoples R China.;

    North China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Baoding 071003, Peoples R China.;

    North China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Baoding 071003, Peoples R China.;

    North China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Baoding 071003, Peoples R China.;

    Jilin Univ, Elect Controlling Lab Construct Vehicle, Changchun 130022, Peoples R China.;

    North China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Baoding 071003, Peoples R China.;

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