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The minmax due-date assignment problem with acceptable lead-times

Author

Listed:
  • Gur Mosheiov

    (The Hebrew University
    Jerusalem College of Technology, Lev Academic Center)

  • Assaf Sarig

    (The Hebrew University
    College of Law and Business)

Abstract

We study a single machine scheduling and due-date assignment problem with acceptable lead-times. The setting combines elements of the classical common due-date model and the DIF model, where job-dependent due-dates need to be determined. The objective function, which is of a minmax type, consists of four cost components: (1) job-earliness cost, (2) job-tardiness cost, (3) due-date cost, (4) due-date tardiness cost. We present a simple procedure for identifying the different job-types, and consequently, a polynomial-time solution is introduced. The case of due-windows for acceptable lead-times is also discussed.

Suggested Citation

  • Gur Mosheiov & Assaf Sarig, 2024. "The minmax due-date assignment problem with acceptable lead-times," Annals of Operations Research, Springer, vol. 343(1), pages 401-410, December.
    • Handle: RePEc:spr:annopr:v:343:y:2024:i:1:d:10.1007_s10479-024-06290-0
    DOI: 10.1007/s10479-024-06290-0
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    References listed on IDEAS

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    1. E. L. Lawler, 1973. "Optimal Sequencing of a Single Machine Subject to Precedence Constraints," Management Science, INFORMS, vol. 19(5), pages 544-546, January.
    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. Baruch Mor & Gur Mosheiov, 2021. "A note on the single machine CON and CONW problems with lot scheduling," Journal of Combinatorial Optimization, Springer, vol. 42(2), pages 327-338, August.
    5. 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.
    6. Enrique Gerstl & Gur Mosheiov, 2021. "The single machine CON problem with unavailability period," International Journal of Production Research, Taylor & Francis Journals, vol. 59(3), pages 824-838, February.
    7. Shabtay, Dvir & Mosheiov, Gur & Oron, Daniel, 2022. "Single machine scheduling with common assignable due date/due window to minimize total weighted early and late work," European Journal of Operational Research, Elsevier, vol. 303(1), pages 66-77.
    8. 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.
    9. 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.
    Full references (including those not matched with items on IDEAS)

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