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Filtered and Recovering beam search algorithms for the early/tardy scheduling problem with no idle time

Author

Listed:
  • Jorge M. S. Valente

    (Faculdade de Economia da Universidade do Porto)

  • Rui A. F. S. Alves

    (Faculdade de Economia da Universidade do Porto)

Abstract
In this paper we consider the single machine earliness/tardiness scheduling problem with no idle time. We present heuristic algorithms based on the filtered and recovering beam search techniques and compare them with existing neighbourhood search and dispatch rule heuristics. Filtering procedures using both priority evaluation functions and problem-specific properties have been considered. Extensive preliminary tests were performed to determine appropriate parameter values for the beam search algorithms and the neighbourhood search procedure. The computational results show that the recovering beam search algorithms outperform their filtered counterparts in both solution quality and computational requirements, while the priority-based filtering procedure proves superior to the rules-based alternative. The best solutions are given by the neighbourhood search algorithm, but this procedure is computationally intensive and can therefore only be applied to small or medium size instances. The recovering beam search heuristic provides results that are close in solution quality and is significantly faster, so it can be used to solve even large instances.

Suggested Citation

  • Jorge M. S. Valente & Rui A. F. S. Alves, 2004. "Filtered and Recovering beam search algorithms for the early/tardy scheduling problem with no idle time," FEP Working Papers 142, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:fepwps:142
    as

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    References listed on IDEAS

    as
    1. Sabuncuoglu, I. & Bayiz, M., 1999. "Job shop scheduling with beam search," European Journal of Operational Research, Elsevier, vol. 118(2), pages 390-412, October.
    2. Jorge M. S. Valente & Rui A. F. S. Alves, 2003. "Improved Heuristics for the Early/Tardy Scheduling Problem with No Idle Time," FEP Working Papers 126, Universidade do Porto, Faculdade de Economia do Porto.
    3. F Della Croce & V T'kindt, 2002. "A Recovering Beam Search algorithm for the one-machine dynamic total completion time scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1275-1280, November.
    4. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
    5. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    scheduling; early/tardy; beam search; heuristics;
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