A clustering metaheuristic for large orienteering problems

<p dir="ltr">The Orienteering Problem is a routing problem that commonly appears in mapping, transportation, distribution, and scheduling scenarios. The Orienteering Problem is a challenging NP-hard problem, such that obtaining optimal or near optimal solutions usually requires a sig...

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Main Author: Almiqdad Elzein (13141038) (author)
Other Authors: Gianni A. Di Caro (23275861) (author)
Published: 2022
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author Almiqdad Elzein (13141038)
author2 Gianni A. Di Caro (23275861)
author2_role author
author_facet Almiqdad Elzein (13141038)
Gianni A. Di Caro (23275861)
author_role author
dc.creator.none.fl_str_mv Almiqdad Elzein (13141038)
Gianni A. Di Caro (23275861)
dc.date.none.fl_str_mv 2022-07-22T09:00:00Z
dc.identifier.none.fl_str_mv 10.1371/journal.pone.0271751
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/A_clustering_metaheuristic_for_large_orienteering_problems/31444459
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Mathematical sciences
Applied mathematics
Numerical and computational mathematics
Orienteering Problem
NP-hard routing problem
Metaheuristic algorithms
Multi-stage clustering
Online optimization
dc.title.none.fl_str_mv A clustering metaheuristic for large orienteering problems
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p dir="ltr">The Orienteering Problem is a routing problem that commonly appears in mapping, transportation, distribution, and scheduling scenarios. The Orienteering Problem is a challenging NP-hard problem, such that obtaining optimal or near optimal solutions usually requires a significant amount of computation for large and even moderately large instances. As a result, existing algorithms cannot effectively be utilized for solving large Orienteering Problems in an online setting, which is often required in real-world applications where a plan has to be iteratively computed. For instance, a planner might need to adapt to changes in the scenario or in the environment (e.g., this is common in goods delivery, as well as in mobile robotic scenarios for coverage, monitoring, and surveillance). Motivated by these limitations, we propose a multi-stage clustering-based metaheuristic for tackling large Orienteering Problems in an effective, strategically controlled amount of computation time. The metaheuristic starts by decomposing the problem into smaller, independent sub-problems that are efficiently solved using an algorithm of choice, sequentially or in parallel. The obtained solutions are then merged to form a solution for the original problem, and then further optimized and processed to ensure feasibility. The metaheuristic aims to dramatically improve the computation time of a given Orienteering Problem algorithm without a significant decrease in the solution quality of that algorithm, especially for large Orienteering Problems. We have validated the effectiveness of the proposed metaheuristic design through a set of computational experiments. In particular, using a state-of-the-art heuristic and an exact algorithm, we have shown that it is significantly beneficial to use the Orienteering Problem algorithm plugged into our metaheuristic, as opposed to using it as a standalone algorithm. This was found to be especially true for large problems. As a result, large instances of Orienteering Problems can be effectively tackled within reasonable time bounds even for online application scenarios.</p><h2 dir="ltr">Other Information</h2><p dir="ltr">Published in: PLOS ONE<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1371/journal.pone.0271751" target="_blank">https://dx.doi.org/10.1371/journal.pone.0271751</a></p>
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oai_identifier_str oai:figshare.com:article/31444459
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spelling A clustering metaheuristic for large orienteering problemsAlmiqdad Elzein (13141038)Gianni A. Di Caro (23275861)Mathematical sciencesApplied mathematicsNumerical and computational mathematicsOrienteering ProblemNP-hard routing problemMetaheuristic algorithmsMulti-stage clusteringOnline optimization<p dir="ltr">The Orienteering Problem is a routing problem that commonly appears in mapping, transportation, distribution, and scheduling scenarios. The Orienteering Problem is a challenging NP-hard problem, such that obtaining optimal or near optimal solutions usually requires a significant amount of computation for large and even moderately large instances. As a result, existing algorithms cannot effectively be utilized for solving large Orienteering Problems in an online setting, which is often required in real-world applications where a plan has to be iteratively computed. For instance, a planner might need to adapt to changes in the scenario or in the environment (e.g., this is common in goods delivery, as well as in mobile robotic scenarios for coverage, monitoring, and surveillance). Motivated by these limitations, we propose a multi-stage clustering-based metaheuristic for tackling large Orienteering Problems in an effective, strategically controlled amount of computation time. The metaheuristic starts by decomposing the problem into smaller, independent sub-problems that are efficiently solved using an algorithm of choice, sequentially or in parallel. The obtained solutions are then merged to form a solution for the original problem, and then further optimized and processed to ensure feasibility. The metaheuristic aims to dramatically improve the computation time of a given Orienteering Problem algorithm without a significant decrease in the solution quality of that algorithm, especially for large Orienteering Problems. We have validated the effectiveness of the proposed metaheuristic design through a set of computational experiments. In particular, using a state-of-the-art heuristic and an exact algorithm, we have shown that it is significantly beneficial to use the Orienteering Problem algorithm plugged into our metaheuristic, as opposed to using it as a standalone algorithm. This was found to be especially true for large problems. As a result, large instances of Orienteering Problems can be effectively tackled within reasonable time bounds even for online application scenarios.</p><h2 dir="ltr">Other Information</h2><p dir="ltr">Published in: PLOS ONE<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1371/journal.pone.0271751" target="_blank">https://dx.doi.org/10.1371/journal.pone.0271751</a></p>2022-07-22T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1371/journal.pone.0271751https://figshare.com/articles/journal_contribution/A_clustering_metaheuristic_for_large_orienteering_problems/31444459CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/314444592022-07-22T09:00:00Z
spellingShingle A clustering metaheuristic for large orienteering problems
Almiqdad Elzein (13141038)
Mathematical sciences
Applied mathematics
Numerical and computational mathematics
Orienteering Problem
NP-hard routing problem
Metaheuristic algorithms
Multi-stage clustering
Online optimization
status_str publishedVersion
title A clustering metaheuristic for large orienteering problems
title_full A clustering metaheuristic for large orienteering problems
title_fullStr A clustering metaheuristic for large orienteering problems
title_full_unstemmed A clustering metaheuristic for large orienteering problems
title_short A clustering metaheuristic for large orienteering problems
title_sort A clustering metaheuristic for large orienteering problems
topic Mathematical sciences
Applied mathematics
Numerical and computational mathematics
Orienteering Problem
NP-hard routing problem
Metaheuristic algorithms
Multi-stage clustering
Online optimization