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Single machine SLK/DIF due window assignment problem with job-dependent linear deterioration effects

Author

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  • Qing Yue

    (Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China)

  • Guohua Wan

    (Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China)

Abstract

We consider single machine scheduling problems with deteriorating jobs and SLK/DIF due window assignment, where the deteriorating rates of jobs are assumed to be job-dependent. We consider two different objectives under SLK and DIF due window assignment, respectively. The first objective is to minimise total costs of earliness, tardiness, due window location and due window size, while the second objective is to minimise a cost function that includes number of early jobs, number of tardy jobs and the costs for due window location and due window size. We study the optimality properties for all problems and develop algorithms for solving these problems in polynomial time.

Suggested Citation

  • 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.
  • Handle: RePEc:pal:jorsoc:v:67:y:2016:i:6:p:872-883
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    Citations

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    Cited by:

    1. Xue Huang & Na Yin & Wei-Wei Liu & Ji-Bo Wang, 2020. "Common Due Window Assignment Scheduling with Proportional Linear Deterioration Effects," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-15, January.
    2. 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.
    3. Yue, Qing & Zhou, Shenghai, 2021. "Due-window assignment scheduling problem with stochastic processing times," European Journal of Operational Research, Elsevier, vol. 290(2), pages 453-468.

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