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

Listed author(s):
  • Jorge M. S. Valente


    (Faculdade de Economia da Universidade do Porto)

  • Rui A. F. S. Alves


    (Faculdade de Economia da Universidade do Porto)

Registered author(s):

    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.

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    Paper provided by Universidade do Porto, Faculdade de Economia do Porto in its series FEP Working Papers with number 143.

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    Length: 21 pages
    Date of creation: Apr 2004
    Handle: RePEc:por:fepwps:143
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    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. "An Exact Approach to Early/Tardy Scheduling with Release Dates," FEP Working Papers 129, Universidade do Porto, Faculdade de Economia do Porto.
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