A constructive approach to examination timetabling based on adaptive decomposition and ordering

In this study, we investigate an adaptive decomposition and ordering strategy that automatically divides examinations into difficult and easy sets for constructing an examination timetable. The examinations in the difficult set are considered to be hard to place and hence are listed before the ones...

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Main Authors: Abdul-Rahman, Syariza, Burke, Edmund, Bargiela, Andrzej, McCollum, Barry, Özcan, Ender
Format: Article
Published: Springer Verlag (Germany) 2014
Subjects:
Online Access:https://eprints.nottingham.ac.uk/32173/
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author Abdul-Rahman, Syariza
Burke, Edmund
Bargiela, Andrzej
McCollum, Barry
Özcan, Ender
author_facet Abdul-Rahman, Syariza
Burke, Edmund
Bargiela, Andrzej
McCollum, Barry
Özcan, Ender
author_sort Abdul-Rahman, Syariza
building Nottingham Research Data Repository
collection Online Access
description In this study, we investigate an adaptive decomposition and ordering strategy that automatically divides examinations into difficult and easy sets for constructing an examination timetable. The examinations in the difficult set are considered to be hard to place and hence are listed before the ones in the easy set in the construction process. Moreover, the examinations within each set are ordered using different strategies based on graph colouring heuristics. Initially, the examinations are placed into the easy set. During the construction process, examinations that cannot be scheduled are identified as the ones causing infeasibility and are moved forward in the difficult set to ensure earlier assignment in subsequent attempts. On the other hand, the examinations that can be scheduled remain in the easy set. Within the easy set, a new subset called the boundary set is introduced to accommodate shuffling strategies to change the given ordering of examinations. The proposed approach, which incorporates different ordering and shuffling strategies, is explored on the Carter benchmark problems. The empirical results show that the performance of our algorithm is broadly comparable to existing constructive approaches.
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institution University of Nottingham Malaysia Campus
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publishDate 2014
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spelling nottingham-321732020-05-04T16:48:30Z https://eprints.nottingham.ac.uk/32173/ A constructive approach to examination timetabling based on adaptive decomposition and ordering Abdul-Rahman, Syariza Burke, Edmund Bargiela, Andrzej McCollum, Barry Özcan, Ender In this study, we investigate an adaptive decomposition and ordering strategy that automatically divides examinations into difficult and easy sets for constructing an examination timetable. The examinations in the difficult set are considered to be hard to place and hence are listed before the ones in the easy set in the construction process. Moreover, the examinations within each set are ordered using different strategies based on graph colouring heuristics. Initially, the examinations are placed into the easy set. During the construction process, examinations that cannot be scheduled are identified as the ones causing infeasibility and are moved forward in the difficult set to ensure earlier assignment in subsequent attempts. On the other hand, the examinations that can be scheduled remain in the easy set. Within the easy set, a new subset called the boundary set is introduced to accommodate shuffling strategies to change the given ordering of examinations. The proposed approach, which incorporates different ordering and shuffling strategies, is explored on the Carter benchmark problems. The empirical results show that the performance of our algorithm is broadly comparable to existing constructive approaches. Springer Verlag (Germany) 2014-07-01 Article PeerReviewed Abdul-Rahman, Syariza, Burke, Edmund, Bargiela, Andrzej, McCollum, Barry and Özcan, Ender (2014) A constructive approach to examination timetabling based on adaptive decomposition and ordering. Annals of Operations Research, 218 (1). pp. 3-21. ISSN 1572-9338 timetabling decomposition graph colouring heuristic grouping http://link.springer.com/article/10.1007%2Fs10479-011-0999-8 doi:10.1007/s10479-011-0999-8 doi:10.1007/s10479-011-0999-8
spellingShingle timetabling
decomposition
graph colouring
heuristic
grouping
Abdul-Rahman, Syariza
Burke, Edmund
Bargiela, Andrzej
McCollum, Barry
Özcan, Ender
A constructive approach to examination timetabling based on adaptive decomposition and ordering
title A constructive approach to examination timetabling based on adaptive decomposition and ordering
title_full A constructive approach to examination timetabling based on adaptive decomposition and ordering
title_fullStr A constructive approach to examination timetabling based on adaptive decomposition and ordering
title_full_unstemmed A constructive approach to examination timetabling based on adaptive decomposition and ordering
title_short A constructive approach to examination timetabling based on adaptive decomposition and ordering
title_sort constructive approach to examination timetabling based on adaptive decomposition and ordering
topic timetabling
decomposition
graph colouring
heuristic
grouping
url https://eprints.nottingham.ac.uk/32173/
https://eprints.nottingham.ac.uk/32173/
https://eprints.nottingham.ac.uk/32173/