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Common due-window assignment and scheduling of linear time-dependent deteriorating jobs and a deteriorating maintenance activity

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  • Cheng, T.C.E.
  • Yang, Suh-Jenq
  • Yang, Dar-Li

Abstract

Due-window assignment and production scheduling are important issues in operations management. In this study we investigate the problem of common due-window assignment and scheduling of deteriorating jobs and a maintenance activity simultaneously on a single-machine. We assume that the maintenance duration depends on its starting time. We provide polynomial time solutions for the problem and some of its special cases, where the objective is to simultaneously minimize the earliness, tardiness, due-window starting time, and due-window size costs.

Suggested Citation

  • Cheng, T.C.E. & Yang, Suh-Jenq & Yang, Dar-Li, 2012. "Common due-window assignment and scheduling of linear time-dependent deteriorating jobs and a deteriorating maintenance activity," International Journal of Production Economics, Elsevier, vol. 135(1), pages 154-161.
    • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:154-161
    DOI: 10.1016/j.ijpe.2010.10.005
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    References listed on IDEAS

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    Cited by:

    1. Zhusong Liu & Zhenyou Wang & Yuan-Yuan Lu, 2017. "A Bicriteria Approach for Single Machine Scheduling with Resource Allocation, Learning Effect and a Deteriorating Maintenance Activity," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-16, August.
    2. Yin, Yunqiang & Cheng, T.C.E. & Hsu, Chou-Jung & Wu, Chin-Chia, 2013. "Single-machine batch delivery scheduling with an assignable common due window," Omega, Elsevier, vol. 41(2), pages 216-225.
    3. Xu, Dehua & Wan, Long & Liu, Aihua & Yang, Dar-Li, 2015. "Single machine total completion time scheduling problem with workload-dependent maintenance duration," Omega, Elsevier, vol. 52(C), pages 101-106.
    4. 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.
    5. Long Zhang & Yuzhong Zhang & Qingguo Bai, 0. "An approximation algorithm for a supply-chain scheduling problem with an assignable common due window and holding time," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-13.
    6. 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.
    7. 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.
    8. Tan, Zhiyi & Chen, Yong & Zhang, An, 2013. "On the exact bounds of SPT for scheduling on parallel machines with availability constraints," International Journal of Production Economics, Elsevier, vol. 146(1), pages 293-299.
    9. Min Ji & Xin Zhang & Xiaoying Tang & T.C.E. Cheng & Guiyi Wei & Yuanyuan Tan, 2016. "Group scheduling with group-dependent multiple due windows assignment," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1244-1256, February.
    10. 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.
    11. Sun, Lin-Hui & Sun, Lin-Yan & Wang, Ming-Zheng & Wang, Ji-Bo, 2012. "Flow shop makespan minimization scheduling with deteriorating jobs under dominating machines," International Journal of Production Economics, Elsevier, vol. 138(1), pages 195-200.
    12. Zhanguo Zhu & Feifeng Zheng & Chengbin Chu, 2017. "Multitasking scheduling problems with a rate-modifying activity," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 296-312, January.
    13. Na Yin & Liying Kang, 2015. "Minimizing Makespan in Permutation Flow Shop Scheduling with Proportional Deterioration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-12, December.
    14. Li, Gang & Wang, Xiao-Yuan & Wang, Ji-Bo & Sun, Lin-Yan, 2013. "Worst case analysis of flow shop scheduling problems with a time-dependent learning effect," International Journal of Production Economics, Elsevier, vol. 142(1), pages 98-104.
    15. Shang-Chia Liu, 2015. "Common Due-Window Assignment and Group Scheduling with Position-Dependent Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-19, December.
    16. Hui Zhu & Min Li & Zhangjin Zhou & Yun You, 2016. "Due-window assignment and scheduling with general position-dependent processing times involving a deteriorating and compressible maintenance activity," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3475-3490, June.
    17. Gur Mosheiov & Daniel Oron, 2020. "Scheduling problems with a weight-modifying-activity," Annals of Operations Research, Springer, vol. 295(2), pages 737-745, December.
    18. Shen, Yilan & Zhang, Xi & Shi, Leyuan, 2022. "Joint optimization of production and maintenance for a serial–parallel hybrid two-stage production system," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    19. Yang, Dar-Li & Lai, Chien-Jung & Yang, Suh-Jenq, 2014. "Scheduling problems with multiple due windows assignment and controllable processing times on a single machine," International Journal of Production Economics, Elsevier, vol. 150(C), pages 96-103.
    20. Liu, Ming & Wang, Shijin & Chu, Chengbin, 2013. "Scheduling deteriorating jobs with past-sequence-dependent delivery times," International Journal of Production Economics, Elsevier, vol. 144(2), pages 418-421.
    21. Long Zhang & Yuzhong Zhang & Qingguo Bai, 2022. "An approximation algorithm for a supply-chain scheduling problem with an assignable common due window and holding time," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2167-2179, November.

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