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A model for timetabling problems with period spread constraints

Author

Listed:
  • P Lara-Velázquez

    (Departamento de Sistemas, Universidad Autónoma Metropolitana–Azcapotzalco)

  • R López-Bracho

    (Departamento de Sistemas, Universidad Autónoma Metropolitana–Azcapotzalco)

  • J Ramírez-Rodríguez

    (Departamento de Sistemas, Universidad Autónoma Metropolitana–Azcapotzalco)

  • J Yáñez

    (Universidad Complutense de Madrid)

Abstract

The generalized robust colouring problem (GRCP) deals with a robust colouring for a given graph with a fixed number of colours, not necessarily the chromatic number and considers the distance between colours as the penalization of complementary edges. This problem provides a way to solve timetabling problems that consider ‘event spread constraints’ such as ‘there must be at least d days between two events’. Because this problem is NP-hard, a heuristic approach is necessary to produce good solutions in a reasonable amount of time for large instances. In this work a greedy randomized adaptive search procedure (GRASP) is proposed to solve GRCP, which was used in instances to schedule course lectures requiring from 30 to 120 h per week in total, in which the bound of the optimal solution is reached in almost every instance.

Suggested Citation

  • P Lara-Velázquez & R López-Bracho & J Ramírez-Rodríguez & J Yáñez, 2011. "A model for timetabling problems with period spread constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 217-222, January.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:1:d:10.1057_jors.2009.173
    DOI: 10.1057/jors.2009.173
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    References listed on IDEAS

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    1. de Werra, D., 1985. "An introduction to timetabling," European Journal of Operational Research, Elsevier, vol. 19(2), pages 151-162, February.
    2. Burke, Edmund Kieran & Petrovic, Sanja, 2002. "Recent research directions in automated timetabling," European Journal of Operational Research, Elsevier, vol. 140(2), pages 266-280, July.
    3. Cangalovic, Mirjana & Schreuder, Jan A. M., 1991. "Exact colouring algorithm for weighted graphs applied to timetabling problems with lectures of different lengths," European Journal of Operational Research, Elsevier, vol. 51(2), pages 248-258, March.
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