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Title: A constructive and a local search method applied to the examination timetabling problem
Author: Pais, Tiago Cardal
Awarding Body: University of Nottingham
Current Institution: University of Nottingham
Date of Award: 2013
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This thesis addressed the Examination Timetabling Problem, in particular the Toronto and International Timetabling Competition problems which are mostly used as benchmark instances for comparison of different methods. Both Toronto and International Timetabling Competition problems were, described in detail. Although International Timetabling Competition problems were more complex, they could not be used to describe the Toronto problems. Moreover, a mathematical formulation was also presented for both of these problems. We proposed a new Unified model that encapsulated both the Toronto and the International Timetabling Competition models. A mathematical formulation was also presented for this new model. We also proposed a constructive heuristic approach based on Choquet integral. We used this method to combine the information given by different basic heuristics. We used a fuzzy measure to model the importance of each heuristic as well as the interaction between them. A new set function was also proposed. It was proven that this new set function was in fact a fuzzy measure. We also proposed to use the Differential Evolution algorithm to find good fuzzy measures which then were used in the aforementioned construction algorithm. The Differential Evolution used the new proposed set function to overcome some issues related with the tuning of fuzzy measures. Lastly, we described a new discrete Particle Swarm Optimisation algorithm. The algorithm used kempe-chain.based jumps to move the particles between different solutions. All the proposed approaches were tested using the Toronto and International Timetabling Competition instances.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available