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Improved lower bounds for the early/tardy scheduling problem with no idle time

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  • J M S Valente

    (Faculdade de Economia do Porto)

  • R A F S Alves

    (Faculdade de Economia do Porto)

Abstract

In this paper, we consider the single machine earliness/tardiness scheduling problem with no idle time. Two of the lower bounds previously developed for this problem are based on Lagrangean relaxation and the multiplier adjustment method, and require an initial sequence. We investigate the sensitivity of the lower bounds to the initial sequence, and experiment with different dispatch rules and some dominance conditions. The computational results show that it is possible to obtain improved lower bounds by using a better initial sequence. The lower bounds are also incorporated in a branch-and-bound algorithm, and the computational tests show that one of the new lower bounds has the best performance for larger instances.

Suggested Citation

  • J M S Valente & R A F S Alves, 2005. "Improved lower bounds for the early/tardy scheduling problem with no idle time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 604-612, May.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:5:d:10.1057_palgrave.jors.2601865
    DOI: 10.1057/palgrave.jors.2601865
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    References listed on IDEAS

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    1. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
    2. 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.
    3. Chris N. Potts & Luk N. Van Wassenhove, 1985. "A Branch and Bound Algorithm for the Total Weighted Tardiness Problem," Operations Research, INFORMS, vol. 33(2), pages 363-377, April.
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