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Instance space analysis for the generalized bin packing problem algorithms

Instance space analysis for the generalized bin packing problem algorithms In the generalised bin packing problem, the objective is to pack a selected set of profitable non-compulsory items with all the compulsory ones into a set of bins such that the resulting packing cost is minimised. The total c...

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Main Author: Netshitungulu, Funanani
Other Authors: Rakotonirainy, Rosephine Georgina
Format: Thesis
Language:English
English
Published: Department of Statistical Sciences 2026
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access_status_str Open Access
author Netshitungulu, Funanani
author2 Rakotonirainy, Rosephine Georgina
author_browse Netshitungulu, Funanani
Rakotonirainy, Rosephine Georgina
author_facet Rakotonirainy, Rosephine Georgina
Netshitungulu, Funanani
author_sort Netshitungulu, Funanani
collection Thesis
description Instance space analysis for the generalized bin packing problem algorithms In the generalised bin packing problem, the objective is to pack a selected set of profitable non-compulsory items with all the compulsory ones into a set of bins such that the resulting packing cost is minimised. The total cost is given by the difference between the cost of the selected bins and the total profit of the loaded items. This type of problem is encountered in logistics, mainly in the transportation industry which has grown massively over the years. In this thesis, six improved heuristics are proposed to tackle this problem. The aim is to investigate the upper bound solutions provided by such heuristic approaches to the problem. An Instance Space Analysis is also applied to test the efficiency and effectiveness of the algorithms in respect of the problem instance space. In particular, the relationship between the problem instance features and the algorithm performance is studied. The results indicate that the chosen features are able to explain the difficulty of the problem instances, highlighting the strengths and weaknesses of the various algorithms. This work contributes to the advancement of research in the context of packing problem instance space analysis.
format Thesis
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institution University of Cape Town (South Africa)
language English
eng
last_indexed 2026-06-10T12:31:54.917Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2026
publishDateRange 2026
publishDateSort 2026
publisher Department of Statistical Sciences
publisherStr Department of Statistical Sciences
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/42542 Instance space analysis for the generalized bin packing problem algorithms Netshitungulu, Funanani Rakotonirainy, Rosephine Georgina Instance space analysis Instance space analysis for the generalized bin packing problem algorithms In the generalised bin packing problem, the objective is to pack a selected set of profitable non-compulsory items with all the compulsory ones into a set of bins such that the resulting packing cost is minimised. The total cost is given by the difference between the cost of the selected bins and the total profit of the loaded items. This type of problem is encountered in logistics, mainly in the transportation industry which has grown massively over the years. In this thesis, six improved heuristics are proposed to tackle this problem. The aim is to investigate the upper bound solutions provided by such heuristic approaches to the problem. An Instance Space Analysis is also applied to test the efficiency and effectiveness of the algorithms in respect of the problem instance space. In particular, the relationship between the problem instance features and the algorithm performance is studied. The results indicate that the chosen features are able to explain the difficulty of the problem instances, highlighting the strengths and weaknesses of the various algorithms. This work contributes to the advancement of research in the context of packing problem instance space analysis. 2026-01-13T07:12:25Z 2026-01-13T07:12:25Z 2025 2026-01-12T07:13:32Z Thesis / Dissertation Masters MSc http://hdl.handle.net/11427/42542 en eng application/pdf Department of Statistical Sciences Faculty of Science University of Cape Town
spellingShingle Instance space analysis
Netshitungulu, Funanani
Instance space analysis for the generalized bin packing problem algorithms
thesis_degree_str Master's
title Instance space analysis for the generalized bin packing problem algorithms
title_full Instance space analysis for the generalized bin packing problem algorithms
title_fullStr Instance space analysis for the generalized bin packing problem algorithms
title_full_unstemmed Instance space analysis for the generalized bin packing problem algorithms
title_short Instance space analysis for the generalized bin packing problem algorithms
title_sort instance space analysis for the generalized bin packing problem algorithms
topic Instance space analysis
url http://hdl.handle.net/11427/42542
work_keys_str_mv AT netshitungulufunanani instancespaceanalysisforthegeneralizedbinpackingproblemalgorithms