Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models

Abstract The manta ray foraging optimization (MRFO) algorithm has gained widespread application in engineering problems due to its notable performance and low computational cost. However, the algorithm is prone to getting trapped in local optima and struggles to effectively balance exploration and e...

Full description

Saved in:
Bibliographic Details
Main Authors: Zhentao Tang, Kaiyu Wang, Lan Zhuang, Mingxin Zhu, Yongxuan Yao, Huiqin Chen, Jing Li, Xiaoxiang Wu, Shangce Gao
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-90867-7
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849332845404749824
author Zhentao Tang
Kaiyu Wang
Lan Zhuang
Mingxin Zhu
Yongxuan Yao
Huiqin Chen
Jing Li
Xiaoxiang Wu
Shangce Gao
author_facet Zhentao Tang
Kaiyu Wang
Lan Zhuang
Mingxin Zhu
Yongxuan Yao
Huiqin Chen
Jing Li
Xiaoxiang Wu
Shangce Gao
author_sort Zhentao Tang
collection DOAJ
description Abstract The manta ray foraging optimization (MRFO) algorithm has gained widespread application in engineering problems due to its notable performance and low computational cost. However, the algorithm is prone to getting trapped in local optima and struggles to effectively balance exploration and exploitation, primarily due to the use of fixed parameters and its somersault foraging mechanism, which focuses solely on the current best solution. To address these shortcomings, we propose an improved version called hierarchical guided manta ray foraging optimization (HGMRFO). In this version, the fixed parameters are replaced with an adaptive somersault factor, which helps balance exploration and exploitation during the evolutionary process. A novel hierarchical guidance mechanism is introduced in the somersault foraging strategy. Starting from the population structure, the mechanism guides the search direction of the population individuals through hierarchical interactions. To validate the effectiveness of HGMRFO, we compared it with seven state-of-the-art algorithms on 29 IEEE CEC2017 benchmark functions, achieving an average win rate of 73.15%. On 22 IEEE CEC2011 real-world optimization problems, HGMRFO obtained the most optimal solutions. Additionally, we analyzed the optimal parameter configurations, the impact of hierarchical interactions, and the computational complexity of the proposed method. Finally, when solving the parameter estimation problems for six multimodal photovoltaic models, HGMRFO outperformed other competing methods with a success rate of 97.62%, highlighting its superior performance in the photovoltaic field.
format Article
id doaj-art-cfcf2821c8844232a30afea47acf4585
institution Kabale University
issn 2045-2322
language English
publishDate 2025-07-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj-art-cfcf2821c8844232a30afea47acf45852025-08-20T03:46:04ZengNature PortfolioScientific Reports2045-23222025-07-0115112810.1038/s41598-025-90867-7Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic modelsZhentao Tang0Kaiyu Wang1Lan Zhuang2Mingxin Zhu3Yongxuan Yao4Huiqin Chen5Jing Li6Xiaoxiang Wu7Shangce Gao8Jiangsu Agri-animal Husbandry Vocational CollegeFaculty of Engineering, University of ToyamaJiangsu Agri-animal Husbandry Vocational CollegeJiangsu Agri-animal Husbandry Vocational CollegeJiangsu Agri-animal Husbandry Vocational CollegeJiangsu Agri-animal Husbandry Vocational CollegeJiangsu Agri-animal Husbandry Vocational CollegeJiangsu Agri-animal Husbandry Vocational CollegeFaculty of Engineering, University of ToyamaAbstract The manta ray foraging optimization (MRFO) algorithm has gained widespread application in engineering problems due to its notable performance and low computational cost. However, the algorithm is prone to getting trapped in local optima and struggles to effectively balance exploration and exploitation, primarily due to the use of fixed parameters and its somersault foraging mechanism, which focuses solely on the current best solution. To address these shortcomings, we propose an improved version called hierarchical guided manta ray foraging optimization (HGMRFO). In this version, the fixed parameters are replaced with an adaptive somersault factor, which helps balance exploration and exploitation during the evolutionary process. A novel hierarchical guidance mechanism is introduced in the somersault foraging strategy. Starting from the population structure, the mechanism guides the search direction of the population individuals through hierarchical interactions. To validate the effectiveness of HGMRFO, we compared it with seven state-of-the-art algorithms on 29 IEEE CEC2017 benchmark functions, achieving an average win rate of 73.15%. On 22 IEEE CEC2011 real-world optimization problems, HGMRFO obtained the most optimal solutions. Additionally, we analyzed the optimal parameter configurations, the impact of hierarchical interactions, and the computational complexity of the proposed method. Finally, when solving the parameter estimation problems for six multimodal photovoltaic models, HGMRFO outperformed other competing methods with a success rate of 97.62%, highlighting its superior performance in the photovoltaic field.https://doi.org/10.1038/s41598-025-90867-7Manta ray foraging optimizationExploration and exploitationHierarchical guidance mechanismHierarchical interactionsPhotovoltaic modelsParameter estimation
spellingShingle Zhentao Tang
Kaiyu Wang
Lan Zhuang
Mingxin Zhu
Yongxuan Yao
Huiqin Chen
Jing Li
Xiaoxiang Wu
Shangce Gao
Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
Scientific Reports
Manta ray foraging optimization
Exploration and exploitation
Hierarchical guidance mechanism
Hierarchical interactions
Photovoltaic models
Parameter estimation
title Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
title_full Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
title_fullStr Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
title_full_unstemmed Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
title_short Hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
title_sort hierarchical guided manta ray foraging optimization for global continuous optimization problems and parameter estimation of solar photovoltaic models
topic Manta ray foraging optimization
Exploration and exploitation
Hierarchical guidance mechanism
Hierarchical interactions
Photovoltaic models
Parameter estimation
url https://doi.org/10.1038/s41598-025-90867-7
work_keys_str_mv AT zhentaotang hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT kaiyuwang hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT lanzhuang hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT mingxinzhu hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT yongxuanyao hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT huiqinchen hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT jingli hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT xiaoxiangwu hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels
AT shangcegao hierarchicalguidedmantarayforagingoptimizationforglobalcontinuousoptimizationproblemsandparameterestimationofsolarphotovoltaicmodels