A graph-based hyper-heuristic for educational timetabling problems

Citation

Burke E, McCollum B, Meisels A, Petrovic S & Qu R (2007) A graph-based hyper-heuristic for educational timetabling problems. European Journal of Operational Research, 176 (1), pp. 177-192. https://doi.org/10.1016/j.ejor.2005.08.012

Abstract
This paper presents an investigation of a simple generic hyper-heuristic approach upon a set of widely used constructive heuristics (graph coloring heuristics) in timetabling. Within the hyper-heuristic framework, a tabu search approach is employed to search for permutations of graph heuristics which are used for constructing timetables in exam and course timetabling problems. This underpins a multi-stage hyper-heuristic where the tabu search employs permutations upon a different number of graph heuristics in two stages. We study this graph-based hyper-heuristic approach within the context of exploring fundamental issues concerning the search space of the hyper-heuristic (the heuristic space) and the solution space. Such issues have not been addressed in other hyper-heuristic research. These approaches are tested on both exam and course benchmark timetabling problems and are compared with the fine-tuned bespoke state-of-the-art approaches. The results are within the range of the best results reported in the literature. The approach described here represents a significantly more generally applicable approach than the current state of the art in the literature. Future work will extend this hyper-heuristic framework by employing methodologies which are applicable on a wider range of timetabling and scheduling problems.

Keywords
Heuristics; Graph heuristics; Hyper-heuristics; Tabu search; Timetabling ; Operations Research/Decision Theory; Organization/Planning; Information retrieval

Journal
European Journal of Operational Research: Volume 176, Issue 1