Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems

This article introduces a new hybrid hyper-heuristic framework that deals with single-objective continuous optimization problems. This approach employs a nested Markov chain on the base level in the search for the best-performing operators and their sequences and simulated annealing on the hyperleve...

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Main Authors: Nándor Bándi, Noémi Gaskó
Format: Article
Language:English
Published: PeerJ Inc. 2024-02-01
Series:PeerJ Computer Science
Subjects:
Online Access:https://peerj.com/articles/cs-1785.pdf
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author Nándor Bándi
Noémi Gaskó
author_facet Nándor Bándi
Noémi Gaskó
author_sort Nándor Bándi
collection DOAJ
description This article introduces a new hybrid hyper-heuristic framework that deals with single-objective continuous optimization problems. This approach employs a nested Markov chain on the base level in the search for the best-performing operators and their sequences and simulated annealing on the hyperlevel, which evolves the chain and the operator parameters. The novelty of the approach consists of the upper level of the Markov chain expressing the hybridization of global and local search operators and the lower level automatically selecting the best-performing operator sequences for the problem. Numerical experiments conducted on well-known benchmark functions and the comparison with another hyper-heuristic framework and six state-of-the-art metaheuristics show the effectiveness of the proposed approach.
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spelling doaj.art-b68ab23436be4220be5158a84fea3e752024-02-04T15:05:05ZengPeerJ Inc.PeerJ Computer Science2376-59922024-02-0110e178510.7717/peerj-cs.1785Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problemsNándor Bándi0Noémi Gaskó1Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, RomaniaFaculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, RomaniaThis article introduces a new hybrid hyper-heuristic framework that deals with single-objective continuous optimization problems. This approach employs a nested Markov chain on the base level in the search for the best-performing operators and their sequences and simulated annealing on the hyperlevel, which evolves the chain and the operator parameters. The novelty of the approach consists of the upper level of the Markov chain expressing the hybridization of global and local search operators and the lower level automatically selecting the best-performing operator sequences for the problem. Numerical experiments conducted on well-known benchmark functions and the comparison with another hyper-heuristic framework and six state-of-the-art metaheuristics show the effectiveness of the proposed approach.https://peerj.com/articles/cs-1785.pdfContinuous optimizationHyperheuristics
spellingShingle Nándor Bándi
Noémi Gaskó
Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems
PeerJ Computer Science
Continuous optimization
Hyperheuristics
title Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems
title_full Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems
title_fullStr Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems
title_full_unstemmed Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems
title_short Nested Markov chain hyper-heuristic (NMHH): a hybrid hyper-heuristic framework for single-objective continuous problems
title_sort nested markov chain hyper heuristic nmhh a hybrid hyper heuristic framework for single objective continuous problems
topic Continuous optimization
Hyperheuristics
url https://peerj.com/articles/cs-1785.pdf
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