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Integer programming formulations in sequencing with total earliness and tardiness penalties, arbitrary due dates, and no idle time: A concise review and extension

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  • Alidaee, Bahram
  • Li, Haitao
  • Wang, Haibo
  • Womer, Keith

Abstract

Scheduling with arbitrary due dates and no idle time permitted between jobs with the objective of minimizing the total earliness and tardiness has a variety of industry applications. We review mathematical programming formulations for single and parallel machine problems with fixed and controllable processing and setup times. Weaknesses of the formulations are identified, corrections and/or improvements are provided, and further research directions are suggested.

Suggested Citation

  • Alidaee, Bahram & Li, Haitao & Wang, Haibo & Womer, Keith, 2021. "Integer programming formulations in sequencing with total earliness and tardiness penalties, arbitrary due dates, and no idle time: A concise review and extension," Omega, Elsevier, vol. 103(C).
    • Handle: RePEc:eee:jomega:v:103:y:2021:i:c:s0305048321000554
    DOI: 10.1016/j.omega.2021.102446
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    Cited by:

    1. Sang, Yao-Wen & Wang, Jun-Qiang & Sterna, Małgorzata & Błażewicz, Jacek, 2023. "Single machine scheduling with due date assignment to minimize the total weighted lead time penalty and late work," Omega, Elsevier, vol. 121(C).
    2. Sterna, Małgorzata, 2021. "Late and early work scheduling: A survey," Omega, Elsevier, vol. 104(C).
    3. Zhang, Hongbin & Yang, Yu & Wu, Feng, 2024. "Scheduling a set of jobs with convex piecewise linear cost functions on a single-batch-processing machine," Omega, Elsevier, vol. 122(C).
    4. Zhang, Zhe & Gong, Xue & Song, Xiaoling & Yin, Yong & Lev, Benjamin & Chen, Jie, 2022. "A column generation-based exact solution method for seru scheduling problems," Omega, Elsevier, vol. 108(C).
    5. Tan, Zhen & Fu, Guanqi, 2024. "Just-in-time scheduling problem with affine idleness cost," European Journal of Operational Research, Elsevier, vol. 313(3), pages 954-976.

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