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Extended clique initialisation in examination timetabling

Author

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  • M W Carter

    (University of Toronto)

  • D G Johnson

    (Loughborough University)

Abstract

Many examination timetabling procedures employ a phased approach in which the first phase is often the allocation of a large set of mutually conflicting examinations which form a clique in the associated problem graph. The usual practice is to identify a single maximum clique, often quite arbitrarily, in this first phase. We show that in typical examination timetabling problems, unlike random graphs, there are often many alternative maximum cliques, and even larger dense subsets of nodes that are almost cliques. A number of methods are proposed for extending the scope of the clique initialisation to include a larger subset of examinations by considering sub-maximum cliques and/or quasi-cliques.

Suggested Citation

  • M W Carter & D G Johnson, 2001. "Extended clique initialisation in examination timetabling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 538-544, May.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:5:d:10.1057_palgrave.jors.2601115
    DOI: 10.1057/palgrave.jors.2601115
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    Citations

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    Cited by:

    1. Wu, Qinghua & Hao, Jin-Kao, 2015. "A review on algorithms for maximum clique problems," European Journal of Operational Research, Elsevier, vol. 242(3), pages 693-709.
    2. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    3. K Papoutsis & C Valouxis & E Housos, 2003. "A column generation approach for the timetabling problem of Greek high schools," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(3), pages 230-238, March.
    4. Assif Assad & Kusum Deep, 2018. "A heuristic based harmony search algorithm for maximum clique problem," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 411-433, June.

    More about this item

    Keywords

    timetabling; graph; clique;
    All these keywords.

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