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Title:Overcoming stagnation in metaheuristic algorithms with MsMA’s adaptive meta-level partitioning
Authors:ID Črepinšek, Matej (Author)
ID Mernik, Marjan (Author)
ID Beković, Miloš (Author)
ID Pintarič, Matej (Author)
ID Moravec, Matej (Author)
ID Ravber, Miha (Author)
Files:.pdf mathematics-13-01803-v2_(1).pdf (1,47 MB)
MD5: 5316262E0E6188188CEB1E50BC35E549
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:Stagnation remains a persistent challenge in optimization with metaheuristic algorithms (MAs), often leading to premature convergence and inefficient use of the remaining evaluation budget. This study introduces , a novel meta-level strategy that externally monitors MAs to detect stagnation and adaptively partitions computational resources. When stagnation occurs, divides the optimization run into partitions, restarting the MA for each partition with function evaluations guided by solution history, enhancing efficiency without modifying the MA’s internal logic, unlike algorithm-specific stagnation controls. The experimental results on the CEC’24 benchmark suite, which includes 29 diverse test functions, and on a real-world Load Flow Analysis (LFA) optimization problem demonstrate that MsMA consistently enhances the performance of all tested algorithms. In particular, Self-Adapting Differential Evolution (jDE), Manta Ray Foraging Optimization (MRFO), and the Coral Reefs Optimization Algorithm (CRO) showed significant improvements when paired with MsMA. Although MRFO originally performed poorly on the CEC’24 suite, it achieved the best performance on the LFA problem when used with MsMA. Additionally, the combination of MsMA with Long-Term Memory Assistance (LTMA), a lookup-based approach that eliminates redundant evaluations, resulted in further performance gains and highlighted the potential of layered meta-strategies. This meta-level strategy pairing provides a versatile foundation for the development of stagnation-aware optimization techniques.
Keywords:optimization, metaheuristics, stagnation, meta-level strategy, algorithmic performance, duplicate solutions
Publication status:Published
Publication version:Version of Record
Submitted for review:23.05.2025
Article acceptance date:26.05.2025
Publication date:28.05.2025
Publisher:MDPI
Year of publishing:2025
Number of pages:34 str.
Numbering:Vol. 13, iss. 11, [article no.] 1803
PID:20.500.12556/DKUM-93008 New window
UDC:004.4
ISSN on article:2227-7390
COBISS.SI-ID:237771523 New window
DOI:10.3390/math13111803 New window
Copyright:© 2025 by the authors
Publication date in DKUM:30.05.2025
Views:202
Downloads:9
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Mathematics
Shortened title:Mathematics
Publisher:MDPI AG
ISSN:2227-7390
COBISS.SI-ID:523267865 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0041-2020
Name:Računalniški sistemi, metodologije in inteligentne storitve

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0114-2020
Name:Aplikativna elektromagnetika

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0115-2020
Name:Vodenje elektromehanskih sistemov

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:optimizacija, metaheuristika, stagnacija, strategija meta ravni, algoritemsko delovanje


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