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Due-window assignment with identical jobs on parallel uniform machines

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  • Gerstl, Enrique
  • Mosheiov, Gur

Abstract

A scheduling problem with a common due-window, earliness and tardiness costs, and identical processing time jobs is studied. We focus on the setting of both (i) job-dependent earliness/tardiness job weights and (ii) parallel uniform machines. The objective is to find the job allocation to the machines and the job schedule, such that the total weighted earliness and tardiness cost is minimized. We study both cases of a non-restrictive (i.e. sufficiently late), and a restrictive due-window. For a given number of machines, the solutions of the problems studied here are obtained in polynomial time in the number of jobs.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:41-47
    DOI: 10.1016/j.ejor.2012.12.034
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    References listed on IDEAS

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    1. Liman, Surya D. & Panwalkar, Shrikant S. & Thongmee, Sansern, 1996. "Determination of common due window location in a single machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 93(1), pages 68-74, August.
    2. 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.
    3. Yeung, W. K. & Oguz, Ceyda & Edwin Cheng, T. C., 2004. "Two-stage flowshop earliness and tardiness machine scheduling involving a common due window," International Journal of Production Economics, Elsevier, vol. 90(3), pages 421-434, August.
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    5. 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.
    6. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
    7. 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.
    8. R-H Huang & C-L Yang & H-T Huang, 2010. "Parallel machine scheduling with common due windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 640-646, April.
    9. 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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    4. 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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