Adapti ve Selection of Heuristics within a GRASP for Exam Timetabling Problems

In this paper, we describe the development of a Greedy Random Adaptive Search Procedure (GRASP) where two low-level graph heuristics, Saturation Degree (SD) and Largest Weighted Degree (LWD) are dynamically hybridised in the construction phase to construct solutions for exam timetabling problems. The problem is initially solved using an intelligent adaptive LWD and SD graph hyper-heuristic which constructs the restricted can- didate list (RCL) in the first phase of GRASP. It is observed that the size of the RCL used in each iteration affects the quality of the results obtained. In addition, the SD heuristic is es- sential to construct a RCL which leads to a feasible solution. However, SD does not perform well at the early stages of the construction. Therefore, LWD is used until a certain switch- ing point is reached. The hyper-heuristic adaptively determines the size of the RCL in each iteration and the best switching point after evaluating the quality of the solutions produced. In the improvement phase of GRASP, it is observed that tabu search slightly improves the constructed solutions when compared to steepest descent but it takes a longer time. The ap- proach adapts to all the benchmark problems tested. The comparison of this approach with state-of-the-art approaches indicates that it is a simple yet efficient technique. The results also indicate that the technique could adapt itself to construct good quality solutions for any timetabling problem with similar constraints.