计算机科学 ›› 2014, Vol. 41 ›› Issue (7): 246-249.doi: 10.11896/j.issn.1002-137X.2014.07.051

• 人工智能 • 上一篇    下一篇

基于动态分数阶和Alpha稳定分布的粒子群优化算法

吕太之,李卓   

  1. 南京理工大学计算机科学与技术学院 南京210094;加州大学默塞德分校工程学院 加州默塞德95340
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受江苏高校科研成果产业化推进项目(JHZD2012-21),第二届江苏省高校优秀中青年教师和校长境外研修项目资助

Novel Particle Swarm Optimization Algorithm Based on Fractional Calculus and Alpha-stable Distribution

LV Tai-zhi and LI Zhuo   

  • Online:2018-11-14 Published:2018-11-14

摘要: 针对传统粒子群优化算法(PSO)收敛速度慢及容易陷入局部极小化的问题,提出了一种改进的粒子群优化算法。新算法结合分数阶微分具有的记忆特性,使得粒子的更新融入了轨迹信息,提高了算法的收敛速度。使用Alpha稳定分布代替均匀分布使得粒子在一定概率条件下可以逃逸局部极小点,提高了粒子的全局搜索能力。仿真结果表明,算法不仅在单模态函数下具有更快的收敛速度和更有效的全局搜索能力,在复杂的具有欺骗性的多模态函数下也取得较理想的实验结果,证实了动态分数阶和Alpha稳定分布可以有效地提高粒子群优化算法的性能。

关键词: 粒子群,优化算法,分数阶,Alpha分布 中图法分类号TP301.6文献标识码A

Abstract: For the traditional particle swarm optimization(PSO) algorithm converges slowly and it is easy to fall into local minimum point,an improved PSO algorithm was proposed.The new algorithm combines memory character of fractional differential,reflects the historical information of particles’ movement and therefore improves the optimization process.Using Alpha-stable distribution instead of uniform distribution to generate random value can make the particle to escape from local minima in a certain probability and therefore there is more effective global search capability in new algorithm.Simulation results show that there is not only faster convergence speed and more effective global search capability under the single function in new algorithm,but also more satisfactory results under a complex and deceptive function.It is confirmed that the Alpha-stable distribution and fractional calculus can improve the performance of the PSO algorithm.

Key words: Particle swarm,Optimization algorithm,Fractional calculus,Alpha-stable distribution

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