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Polynomially solvable total tardiness problems: Review and extensions

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  • Koulamas, C.

Abstract

This paper shows that all polynomially solvable cases of the single machine total tardiness problem center around or are direct extensions of three well known results for that problem. A new polynomially solvable case for the problem is developed as well. It is also shown that two of these well known results for the single machine total tardiness problem are valid for the parallel machine total tardiness problem as well.

Suggested Citation

  • Koulamas, C., 1997. "Polynomially solvable total tardiness problems: Review and extensions," Omega, Elsevier, vol. 25(2), pages 235-239, April.
    • Handle: RePEc:eee:jomega:v:25:y:1997:i:2:p:235-239
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    References listed on IDEAS

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    1. Christos Koulamas, 1994. "The Total Tardiness Problem: Review and Extensions," Operations Research, INFORMS, vol. 42(6), pages 1025-1041, December.
    2. Hamilton Emmons, 1969. "One-Machine Sequencing to Minimize Certain Functions of Job Tardiness," Operations Research, INFORMS, vol. 17(4), pages 701-715, August.
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    Cited by:

    1. Shabtay, Dvir & Steiner, George & Zhang, Rui, 2016. "Optimal coordination of resource allocation, due date assignment and scheduling decisions," Omega, Elsevier, vol. 65(C), pages 41-54.
    2. Koulamas, Christos, 2010. "The single-machine total tardiness scheduling problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 202(1), pages 1-7, April.
    3. Tanaka, Shunji & Araki, Mituhiko, 2008. "A branch-and-bound algorithm with Lagrangian relaxation to minimize total tardiness on identical parallel machines," International Journal of Production Economics, Elsevier, vol. 113(1), pages 446-458, May.
    4. Christos Koulamas & George Steiner, 2021. "New results for scheduling to minimize tardiness on one machine with rejection and related problems," Journal of Scheduling, Springer, vol. 24(1), pages 27-34, February.
    5. Sen, Tapan & Sulek, Joanne M. & Dileepan, Parthasarati, 2003. "Static scheduling research to minimize weighted and unweighted tardiness: A state-of-the-art survey," International Journal of Production Economics, Elsevier, vol. 83(1), pages 1-12, January.
    6. Tian, Z. J. & Ng, C. T. & Cheng, T. C. E., 2005. "On the single machine total tardiness problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 843-846, September.

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