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International Journal of Soft Computing

Effect of Elite Pool and Euclidean Distance in Big Bang-Big Crunch Metaheuristic for Post-Enrolment Course Timetabling Problems
Ghaith M. Jaradat and Masri Ayob

Abstract: In this study, researchers present an investigation of enhancing the capability of the Big Bang-Big Crunch (BB-BC) metaheuristic to strike a balance between diversity and quality of the search. The BB-BC is tested on three post-enrolment course timetabling problems. The BB-BC is derived from one of the evolution theories of the universe in physics and astronomy. The BB-BC theory involves two phases (big bang and big crunch). The big bang phase generates a population of random initial solutions whilst the big crunch phase shrinks those solutions to a single elite solution presented by a centre of mass. The investigation focuses on finding the significance of incorporating an elite pool and controlling the search diversity via the Euclidean distance. Both strategies provide a balanced search of diverse and good quality population. This is achieved by a dynamic changing of the population size, the utilization of elite solutions and a probabilistic selection procedure to generate a diverse collection of promising elite solutions. The investigation is conducted in three stages, first researchers apply the original BB-BC with an iterated local search; second researchers apply the BB-BC with an elite pool and an iterated local search without considering the Euclidean distance and third researchers apply the BB-BC with an elite pool and a simple descent heuristic with utilizing the Euclidean distance. It is found that by incorporating an elite pool without using the Euclidean distance, the BB-BC performs better than the original BB-BC. However, utilizing both elite pool and Euclidean distance have a greater impact on the BB-BC. The third version of BB-BC performs better than both previous versions. Experiments showed that the third version produces high quality solutions and outperforms some approaches reported in the literature.

How to cite this article
Ghaith M. Jaradat and Masri Ayob, 2013. Effect of Elite Pool and Euclidean Distance in Big Bang-Big Crunch Metaheuristic for Post-Enrolment Course Timetabling Problems. International Journal of Soft Computing, 8: 96-107.

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