Adaptive Decomposition and Construction for Examination Timetabling Problems. In proceedings of the 3rd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2007), 28 -31 August 2007, Paris, France, pages 418-425, 2007.
Paper
Decomposition techniques have not been widely investigated in timetabling research mainly due to the complexity of the problems. In this paper, we develop a new general adaptive decomposition technique where problems are iteratively partitioned into two sub-sets, each containing a set of events with different levels of difficulty. The events in these two sets, namely the difficult set and the easy set, are ordered in turn and used to construct the solutions. Potentially difficult events are adaptively included in the difficult set, whose size is also adaptively adjusted according to the solution quality obtained in previous iterations. It is observed that in most cases, the difficult set, although of small size, contributes to a much larger portion of the total cost of the solutions constructed. This simple yet effective adaptive technique obtained competitive solutions compared with state-of-the-art approaches in the literature for benchmark exam timetabling problems.
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@INPROCEEDINGS{2007-418-425-P, author = {R. Qu and E. K. Burke},
title = {Adaptive Decomposition and Construction for Examination Timetabling Problems},
booktitle = {In proceedings of the 3rd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2007), 28 -31 August 2007, Paris, France},
year = {2007},
editor = {P. Baptiste and G. Kendall and A. Munier-Kordon and F. Sourd},
pages = {418--425},
note = {Paper},
abstract = {Decomposition techniques have not been widely investigated in timetabling research mainly due to the complexity of the problems. In this paper, we develop a new general adaptive decomposition technique where problems are iteratively partitioned into two sub-sets, each containing a set of events with different levels of difficulty. The events in these two sets, namely the difficult set and the easy set, are ordered in turn and used to construct the solutions. Potentially difficult events are adaptively included in the difficult set, whose size is also adaptively adjusted according to the solution quality obtained in previous iterations. It is observed that in most cases, the difficult set, although of small size, contributes to a much larger portion of the total cost of the solutions constructed. This simple yet effective adaptive technique obtained competitive solutions compared with state-of-the-art approaches in the literature for benchmark exam timetabling problems.},
owner = {user},
timestamp = {2012.05.21},
webpdf = {2007-418-425-P.pdf} }