| 斐波那契树优化算法全局随机性概率收敛分析 |
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| 引用本文： | 董易,吕丹桔,王霞,王耀民,李鹏,施心陵.斐波那契树优化算法全局随机性概率收敛分析[J].控制与决策,2018,33(3):439-446. |
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| 作者姓名： | 董易 吕丹桔 王霞 王耀民 李鹏 施心陵 |
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| 作者单位： | 云南大学信息学院,昆明650504,云南大学信息学院,昆明650504,云南大学信息学院,昆明650504,云南大学信息学院,昆明650504,云南大学信息学院,昆明650504,云南大学信息学院,昆明650504 |
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| 基金项目： | 国家自然科学基金项目(61364024)；云南省自然科学基金重点项目(2013FA008). |
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| 摘 要： | 为改进斐波那契树优化算法的收敛性能,提出斐波那契树末梢自适应半径参数,使得算法在最优解邻域附近收敛能力显著提高.基于斐波那契树结构的全局随机性对斐波那契树优化算法的收敛性进行分析和证明.通过测试函数的求解精度比较、独立重复求解的收敛达标率比较实验验证了斐波那契树优化算法的收敛性能.
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| 关 键 词： | 斐波那契树优化算法 末梢自适应半径 全局随机性 收敛性 |
A global randomness-based probability convergence analysis of Fibonacci tree optimization algorithm |
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| DONG Yi,LV Dan-ju,WANG Xi,WANG Yao-min,LI Peng and SHI Xin-ling.A global randomness-based probability convergence analysis of Fibonacci tree optimization algorithm[J].Control and Decision,2018,33(3):439-446. |
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| Authors: | DONG Yi LV Dan-ju WANG Xi WANG Yao-min LI Peng and SHI Xin-ling |
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| Affiliation: | School of Information Science and Engineering,Yunnan University,Kunming650504,China,School of Information Science and Engineering,Yunnan University,Kunming650504,China,School of Information Science and Engineering,Yunnan University,Kunming650504,China,School of Information Science and Engineering,Yunnan University,Kunming650504,China,School of Information Science and Engineering,Yunnan University,Kunming650504,China and School of Information Science and Engineering,Yunnan University,Kunming650504,China |
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| Abstract: | A Fibonacci tree-end self-adaptive radius parameter is proposed to effectively enhance convergence of Fibonacci tree optimization(FTO) algorithm at neighborhood of optima. The convergence of FTO is analyzed and proved on the basis of global randomness of Fibonacci tree. By comparing both the precision in solving benchmark functions and the qualified rate of repeated and independent solutions, the convergence performance of FTO is also examined and confirmed. |
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