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Beam search heuristics for quadratic earliness and tardiness scheduling

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  • J M S Valente

    (Universidade do Porto)

Abstract

In this paper, we present beam search heuristics for the single machine scheduling problem with quadratic earliness and tardiness costs, and no machine idle time. These heuristics include classic beam search procedures, as well as filtered and recovering algorithms. We consider three dispatching heuristics as evaluation functions, in order to analyse the effect of different rules on the performance of the beam search procedures. The computational results show that using better dispatching heuristics improves the effectiveness of the beam search algorithms. The performance of the several heuristics is similar for instances with low variability. For high variability instances, however, the detailed, filtered and recovering beam search (RBS) procedures clearly outperform the best existing heuristic. The detailed beam search algorithm performs quite well, and is recommended for small- to medium-sized instances. For larger instances, however, this procedure requires excessive computation times, and the RBS algorithm then becomes the heuristic of choice.

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  • J M S Valente, 2010. "Beam search heuristics for quadratic earliness and tardiness scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 620-631, April.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:4:d:10.1057_jors.2008.191
    DOI: 10.1057/jors.2008.191
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    2. Billaut, Jean-Charles & Della Croce, Federico & Grosso, Andrea, 2015. "A single machine scheduling problem with two-dimensional vector packing constraints," European Journal of Operational Research, Elsevier, vol. 243(1), pages 75-81.

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