Golden Section Fibonacci Tree Optimization Algorithm for Multimodal Function Optimization

ZHANG Song-hai; SHI Xin-ling; LI Peng; DONG Yi; LI Sun-cun

doi:10.3969/j.issn.0372-2112.2017.04.004

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Golden Section Fibonacci Tree Optimization Algorithm for Multimodal Function Optimization

更新时间：2025-07-16

- Golden Section Fibonacci Tree Optimization Algorithm for Multimodal Function Optimization
- Acta Electronica Sinica Vol. 45, Issue 4, Pages: 791-798(2017)
- 作者机构：
  
  云南大学信息学院,云南,昆明,650500
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2017.04.004
  CLC： TP18
- Published Online：25 April 2017，
  
  Published：2017
- 稿件说明：
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ZHANG Song-hai, SHI Xin-ling, LI Peng, et al. Golden Section Fibonacci Tree Optimization Algorithm for Multimodal Function Optimization[J]. Acta Electronica Sinica, 2017, 45(4): 791-798.
DOI：

ZHANG Song-hai, SHI Xin-ling, LI Peng, et al. Golden Section Fibonacci Tree Optimization Algorithm for Multimodal Function Optimization[J]. Acta Electronica Sinica, 2017, 45(4): 791-798. DOI： 10.3969/j.issn.0372-2112.2017.04.004.

摘要

针对多峰函数优化问题，基于斐波那契树优化算法，结合黄金分割思想，提出一种黄金分割斐波那契树优化算法.该算法利用斐波那契树优化算法全局局部交替寻优特性，通过在寻优过程中对优化问题解空间进行黄金分割比例压缩，从而提高算法局部搜索能力与小峰值搜索能力.多峰函数优化的仿真结果表明，该算法多峰优化能力强、速度快、精度高.

Abstract

A golden section Fibonacci tree optimization algorithm for multimodal function optimization is proposed

which is based on the Fibonacci tree optimization algorithm (FTO) and is combined with the golden section theory.By making full use of the features upon the global and local alternation optimization of Fibonacci tree optimization

the algorithm has improved and enhanced its local searching ability and small peak searching ability through the method of golden section ratio compression to optimize problems of solution space.Simulation result of typical test function shows that the algorithm owns strong optimization capacity

fast speed as well as high precision.

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