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Minmax due-date assignment on a two-machine flowshop

Author

Listed:
  • Baruch Mor

    (Ariel University)

  • Gur Mosheiov

    (The Hebrew University)

Abstract

We extend two classical scheduling and due-date assignment models. In the first (known in the literature as DIF), due-dates are determined by penalties for exceeding pre-specified deadlines. In the second (known as SLK), due-dates are assigned to jobs as a (linear) function of their processing times. We focus on the minmax versions of these models, and extend the single machine versions to a two-machine flowshop. We further extend the settings to that of a due-window. All the problems studied in this note are shown to have polynomial time solutions.

Suggested Citation

  • Baruch Mor & Gur Mosheiov, 2021. "Minmax due-date assignment on a two-machine flowshop," Annals of Operations Research, Springer, vol. 305(1), pages 191-209, October.
    • Handle: RePEc:spr:annopr:v:305:y:2021:i:1:d:10.1007_s10479-021-04212-y
    DOI: 10.1007/s10479-021-04212-y
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    References listed on IDEAS

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    1. B Mor & G Mosheiov, 2012. "Minmax scheduling problems with common flow-allowance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(9), pages 1284-1293, September.
    2. 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.
    3. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    4. Yunqiang Yin & Du‐Juan Wang & Chin‐Chia Wu & T.C.E. Cheng, 2016. "CON/SLK due date assignment and scheduling on a single machine with two agents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(5), pages 416-429, August.
    5. Xinyu Sun & Xin-Na Geng & Tao Liu, 2020. "Due-window assignment scheduling in the proportionate flow shop setting," Annals of Operations Research, Springer, vol. 292(1), pages 113-131, September.
    6. Du-Juan Wang & Yunqiang Yin & Shuenn-Ren Cheng & T.C.E. Cheng & Chin-Chia Wu, 2016. "Due date assignment and scheduling on a single machine with two competing agents," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1152-1169, February.
    7. Yunqiang Yin & Doudou Li & Dujuan Wang & T. C. E. Cheng, 2021. "Single-machine serial-batch delivery scheduling with two competing agents and due date assignment," Annals of Operations Research, Springer, vol. 298(1), pages 497-523, March.
    8. 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.
    9. Enrique Gerstl & Gur Mosheiov, 2013. "Minmax due-date assignment with a time window for acceptable lead-times," Annals of Operations Research, Springer, vol. 211(1), pages 167-177, December.
    10. Dvir Shabtay & George Steiner, 2008. "The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times," Annals of Operations Research, Springer, vol. 159(1), pages 25-40, March.
    11. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
    12. Mor, Baruch & Mosheiov, Gur, 2016. "Minsum and minmax scheduling on a proportionate flowshop with common flow-allowance," European Journal of Operational Research, Elsevier, vol. 254(2), pages 360-370.
    13. Qing Yue & Guohua Wan, 2016. "Single machine SLK/DIF due window assignment problem with job-dependent linear deterioration effects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 872-883, June.
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