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Beam search algorithms for the early/tardy scheduling problem with release dates

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 di?erent release dates and no unforced idle time. We present several heuristic algorithms based on the beam search technique. These algorithms include classical beam search procedures, with both priority and total cost evaluation functions, as well as the filtered and recovering variants. Both priority evaluation functions and problem-specific properties were considered for the filtering step used in the filtered and recovering beam search heuristics. Extensive preliminary tests were performed to determine appropriate values for the parameters used by each algorithm. 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 beam search procedure with a total cost evaluation function provides very good results, but is computationally expensive and can therefore only be applied to small or medium size instances. The recovering algorithm is quite 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. "Beam search algorithms for the early/tardy scheduling problem with release dates," FEP Working Papers 143, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:fepwps:143
    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. 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.
    3. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
    4. Jorge M. S. Valente & Rui A. F. S. Alves, 2003. "An Exact Approach to Early/Tardy Scheduling with Release Dates," FEP Working Papers 129, Universidade do Porto, Faculdade de Economia do Porto.
    Full references (including those not matched with items on IDEAS)

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