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Single-machine due window assignment and scheduling with a common flow allowance and controllable job processing time

Author

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  • Y Yin

    (1] State Key Laboratory Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang, China[2] School of Sciences, East China Institute of Technology, Fuzhou, China)

  • T C E Cheng

    (The Hong Kong Polytechnic University, Kowloon, Hong Kong)

  • C-C Wu

    (Feng Chia University, Taichung, Taiwan)

  • S-R Cheng

    (Cheng Shiu University, Kaohsiung County, Taiwan)

Abstract

In this paper, we consider single-machine due window assignment and scheduling with a common flow allowance and controllable job processing times, subject to unlimited or limited resource availability. Due window assignment with a common flow allowance means that each job has a job-dependent due window, the starting time and completion time of which are equal to its actual processing time plus the job-independent parameters q1, respectively, which are common to all the jobs. The processing time of each job is either a linear or a convex function of the amount of a common continuously divisible resource allocated to the job. We study five versions of the problem that differ in terms of the objective function and processing time function being used. We provide structural properties of the optimal schedules and polynomial-time solution algorithms for the considered problems.

Suggested Citation

  • Y Yin & T C E Cheng & C-C Wu & S-R Cheng, 2014. "Single-machine due window assignment and scheduling with a common flow allowance and controllable job processing time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(1), pages 1-13, January.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:1:p:1-13
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Chun-Lai Liu & Jian-Jun Wang, 2016. "Unrelated Parallel-Machine Scheduling with Controllable Processing Times and Impact of Deteriorating Maintenance Activities under Consideration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-16, February.
    4. Yunqiang Yin & Du-Juan Wang & T C E Cheng & Chin-Chia Wu, 2016. "Bi-criterion single-machine scheduling and due-window assignment with common flow allowances and resource-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(9), pages 1169-1183, September.
    5. Du-Juan Wang & Yunqiang Yin & Mengqi Liu, 2016. "Bicriteria scheduling problems involving job rejection, controllable processing times and rate-modifying activity," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3691-3705, June.
    6. Lu Liu & Jian-Jun Wang & Xiao-Yuan Wang, 2016. "Single machine due-window assignment scheduling with resource-dependent processing times to minimise total resource consumption cost," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1186-1195, February.

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