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Due-window assignment scheduling in the proportionate flow shop setting

Author

Listed:
  • Xinyu Sun

    (Xi’an Jiaotong University)

  • Xin-Na Geng

    (Xi’an Jiaotong University)

  • Tao Liu

    (Xi’an Jiaotong University)

Abstract

In this paper, we consider due-window assignment scheduling in the proportionate flow shop setting with position-dependent weights where the weights depend on the position in which a job is scheduled. Under the common due-window (CONW) and slack due-window (SLKW) assignment methods, the location of the window and its properties are established. The objective is to determine the sequence of all jobs to minimize the total weighted cost function where the total weighted cost function must also consider the window start time and size. Based on these considerations, the corresponding algorithm and algorithm complexity are proposed.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:292:y:2020:i:1:d:10.1007_s10479-020-03653-1
    DOI: 10.1007/s10479-020-03653-1
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    References listed on IDEAS

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    Cited by:

    1. Jin Qian & Yu Zhan, 2022. "The Due Window Assignment Problems with Deteriorating Job and Delivery Time," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    2. Jin Qian & Haiyan Han, 2022. "Improved algorithms for proportionate flow shop scheduling with due-window assignment," Annals of Operations Research, Springer, vol. 309(1), pages 249-258, February.
    3. Lei Pan & Xinyu Sun & Ji-Bo Wang & Li-Han Zhang & Dan-Yang Lv, 2023. "Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs," Journal of Combinatorial Optimization, Springer, vol. 45(4), pages 1-16, May.
    4. Kuo-Ching Ying & Pourya Pourhejazy & Chuan-En Sung, 2024. "Two-agent proportionate flowshop scheduling with deadlines: polynomial-time optimization algorithms," Annals of Operations Research, Springer, vol. 343(1), pages 543-558, December.
    5. 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.
    6. Yurong Zhang & Xi Wang & Li-Han Zhang & Xue Jia & Ji-Bo Wang, 2024. "Different due-window assignment scheduling with deterioration effects," Journal of Combinatorial Optimization, Springer, vol. 48(5), pages 1-21, December.
    7. Yi-Chun Wang & Si-Han Wang & Ji-Bo Wang, 2023. "Resource Allocation Scheduling with Position-Dependent Weights and Generalized Earliness–Tardiness Cost," Mathematics, MDPI, vol. 11(1), pages 1-11, January.
    8. Zong-Jun Wei & Li-Yan Wang & Lei Zhang & Ji-Bo Wang & Ershen Wang, 2023. "Single-Machine Maintenance Activity Scheduling with Convex Resource Constraints and Learning Effects," Mathematics, MDPI, vol. 11(16), pages 1-21, August.
    9. Hongyu He & Yanzhi Zhao & Xiaojun Ma & Yuan-Yuan Lu & Na Ren & Ji-Bo Wang, 2023. "Study on Scheduling Problems with Learning Effects and Past Sequence Delivery Times," Mathematics, MDPI, vol. 11(19), pages 1-19, September.

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