Fixed set search applied to the multi-objective minimum weighted vertex cover problem

<p dir="ltr">The Fixed Set Search (FSS) is a novel metaheuristic that adds a learning mechanism to the Greedy Randomized Adaptive Search Procedure (GRASP). In recent publications, its efficiency has been shown on different types of combinatorial optimization problems like routing, ma...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Raka Jovanovic (17947838) (author)
مؤلفون آخرون: Antonio P. Sanfilippo (19122049) (author), Stefan Voß (6943367) (author)
منشور في: 2022
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author Raka Jovanovic (17947838)
author2 Antonio P. Sanfilippo (19122049)
Stefan Voß (6943367)
author2_role author
author
author_facet Raka Jovanovic (17947838)
Antonio P. Sanfilippo (19122049)
Stefan Voß (6943367)
author_role author
dc.creator.none.fl_str_mv Raka Jovanovic (17947838)
Antonio P. Sanfilippo (19122049)
Stefan Voß (6943367)
dc.date.none.fl_str_mv 2022-05-12T09:00:00Z
dc.identifier.none.fl_str_mv 10.1007/s10732-022-09499-z
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/Fixed_set_search_applied_to_the_multi-objective_minimum_weighted_vertex_cover_problem/26888797
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Information and computing sciences
Artificial intelligence
Computer vision and multimedia computation
Metaheuristics
Minimum weighted vertex cover problem
GRASP
Fixed set search
Pareto front
dc.title.none.fl_str_mv Fixed set search applied to the multi-objective minimum weighted vertex cover problem
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p dir="ltr">The Fixed Set Search (FSS) is a novel metaheuristic that adds a learning mechanism to the Greedy Randomized Adaptive Search Procedure (GRASP). In recent publications, its efficiency has been shown on different types of combinatorial optimization problems like routing, machine scheduling and covering. In this paper the FSS is adapted to multi-objective problems for finding Pareto Front approximations. This adaptation is illustrated for the bi-objective Minimum Weighted Vertex Cover Problem (MWVCP). In this work, a simple and effective bi-objective GRASP algorithm for the MWVCP is developed in the first stage. One important characteristic of the proposed GRASP is that it avoids the use of weighted sums of objective functions in the local search and the greedy algorithm. In the second stage, the bi-objective GRASP is extended to the FSS by adding a learning mechanism adapted to multi-objective problems. The conducted computational experiments show that the proposed FSS and GRASP algorithm significantly outperforms existing methods for the bi-objective MWVCP. To fully evaluate the learning mechanism of the FSS, it is compared to the underlying GRASP algorithm on a wide range of performance indicators related to convergence, distribution, spread and cardinality.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Heuristics<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s10732-022-09499-z" target="_blank">https://dx.doi.org/10.1007/s10732-022-09499-z</a></p>
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oai_identifier_str oai:figshare.com:article/26888797
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spelling Fixed set search applied to the multi-objective minimum weighted vertex cover problemRaka Jovanovic (17947838)Antonio P. Sanfilippo (19122049)Stefan Voß (6943367)Information and computing sciencesArtificial intelligenceComputer vision and multimedia computationMetaheuristicsMinimum weighted vertex cover problemGRASPFixed set searchPareto front<p dir="ltr">The Fixed Set Search (FSS) is a novel metaheuristic that adds a learning mechanism to the Greedy Randomized Adaptive Search Procedure (GRASP). In recent publications, its efficiency has been shown on different types of combinatorial optimization problems like routing, machine scheduling and covering. In this paper the FSS is adapted to multi-objective problems for finding Pareto Front approximations. This adaptation is illustrated for the bi-objective Minimum Weighted Vertex Cover Problem (MWVCP). In this work, a simple and effective bi-objective GRASP algorithm for the MWVCP is developed in the first stage. One important characteristic of the proposed GRASP is that it avoids the use of weighted sums of objective functions in the local search and the greedy algorithm. In the second stage, the bi-objective GRASP is extended to the FSS by adding a learning mechanism adapted to multi-objective problems. The conducted computational experiments show that the proposed FSS and GRASP algorithm significantly outperforms existing methods for the bi-objective MWVCP. To fully evaluate the learning mechanism of the FSS, it is compared to the underlying GRASP algorithm on a wide range of performance indicators related to convergence, distribution, spread and cardinality.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Heuristics<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s10732-022-09499-z" target="_blank">https://dx.doi.org/10.1007/s10732-022-09499-z</a></p>2022-05-12T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s10732-022-09499-zhttps://figshare.com/articles/journal_contribution/Fixed_set_search_applied_to_the_multi-objective_minimum_weighted_vertex_cover_problem/26888797CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/268887972022-05-12T09:00:00Z
spellingShingle Fixed set search applied to the multi-objective minimum weighted vertex cover problem
Raka Jovanovic (17947838)
Information and computing sciences
Artificial intelligence
Computer vision and multimedia computation
Metaheuristics
Minimum weighted vertex cover problem
GRASP
Fixed set search
Pareto front
status_str publishedVersion
title Fixed set search applied to the multi-objective minimum weighted vertex cover problem
title_full Fixed set search applied to the multi-objective minimum weighted vertex cover problem
title_fullStr Fixed set search applied to the multi-objective minimum weighted vertex cover problem
title_full_unstemmed Fixed set search applied to the multi-objective minimum weighted vertex cover problem
title_short Fixed set search applied to the multi-objective minimum weighted vertex cover problem
title_sort Fixed set search applied to the multi-objective minimum weighted vertex cover problem
topic Information and computing sciences
Artificial intelligence
Computer vision and multimedia computation
Metaheuristics
Minimum weighted vertex cover problem
GRASP
Fixed set search
Pareto front