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Due dates assignment and JIT scheduling with equal-size jobs

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  • Huynh Tuong, Nguyen
  • Soukhal, Ameur

Abstract

This paper deals with due date assignment and just-in-time scheduling for single machine and parallel machine problems with equal-size jobs where the objective is to minimize the total weighted earliness-tardiness and due date cost. These two problems, but with a common due date to be calculated, were shown to be polynomially solvable in O(n4) time. We first show that this complexity can be reduced to O(n3) by modeling the single machine scheduling problem as an assignment problem without necessary due date enumeration. We next prove that the general case with identical parallel machines and a given set of assignable due dates where the cardinality of this set is bounded by a constant number is still polynomially solvable.

Suggested Citation

  • Huynh Tuong, Nguyen & Soukhal, Ameur, 2010. "Due dates assignment and JIT scheduling with equal-size jobs," European Journal of Operational Research, Elsevier, vol. 205(2), pages 280-289, September.
    • Handle: RePEc:eee:ejores:v:205:y:2010:i:2:p:280-289
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    References listed on IDEAS

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    1. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
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    4. Mosheiov, Gur & Yovel, Uri, 2006. "Minimizing weighted earliness-tardiness and due-date cost with unit processing-time jobs," European Journal of Operational Research, Elsevier, vol. 172(2), pages 528-544, July.
    5. 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.
    6. Mosheiov, Gur & Sarig, Assaf, 2009. "Due-date assignment on uniform machines," European Journal of Operational Research, Elsevier, vol. 193(1), pages 49-58, February.
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    Cited by:

    1. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.
    2. Gerstl, Enrique & Mosheiov, Gur, 2013. "Due-window assignment with identical jobs on parallel uniform machines," European Journal of Operational Research, Elsevier, vol. 229(1), pages 41-47.
    3. Rasti-Barzoki, Morteza & Hejazi, Seyed Reza, 2013. "Minimizing the weighted number of tardy jobs with due date assignment and capacity-constrained deliveries for multiple customers in supply chains," European Journal of Operational Research, Elsevier, vol. 228(2), pages 345-357.
    4. Koulamas, Christos, 2011. "A unified solution approach for the due date assignment problem with tardy jobs," International Journal of Production Economics, Elsevier, vol. 132(2), pages 292-295, August.
    5. Zhijun Xu & Dehua Xu, 2018. "Single-machine scheduling with workload-dependent tool change durations and equal processing time jobs to minimize total completion time," Journal of Scheduling, Springer, vol. 21(4), pages 461-482, August.

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