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Group scheduling and due date assignment on a single machine

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  • Li, Shisheng
  • Ng, C.T.
  • Yuan, Jinjiang

Abstract

We consider a single-machine scheduling problem involving both the due date assignment and job scheduling under a group technology environment. The jobs (orders) of customers are classified into groups according to their production similarities in advance. To achieve production efficiency and save time/money resource, all jobs of the same group are required to be processed contiguously on the machine. A sequence-independent setup time precedes the processing of each group. The due dates are assignable according to one of the following three due date assignment methods: FML-CON, FML-SLK and DIF, where FML-CON means that all jobs within the same group are assigned a common due date, FML-SLK means that all jobs within the same group are assigned an equal flow allowance, and DIF means that each job can be assigned a different due date with no restrictions. The goal is to determine an optimal combination of the due date assignment strategy and job schedule so as to minimize an objective function that includes earliness, tardiness, due date assignment and flow time costs. An time unified optimization algorithm is provided for all of the above three due date assignment methods.

Suggested Citation

  • Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Group scheduling and due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 130(2), pages 230-235, April.
    • Handle: RePEc:eee:proeco:v:130:y:2011:i:2:p:230-235
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    References listed on IDEAS

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    Cited by:

    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Hongyu He & Yanzhi Zhao & Xiaojun Ma & Zheng-Guo Lv & Ji-Bo Wang, 2023. "Branch-and-Bound and Heuristic Algorithms for Group Scheduling with Due-Date Assignment and Resource Allocation," Mathematics, MDPI, vol. 11(23), pages 1-14, November.
    3. 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.
    4. Ying Chen & Xiaole Ma & Guiqing Zhang & Yongxi Cheng, 2023. "On optimal due date assignment without restriction and resource allocation in group technology scheduling," Journal of Combinatorial Optimization, Springer, vol. 45(2), pages 1-19, March.
    5. Shabtay, Dvir, 2016. "Optimal restricted due date assignment in scheduling," European Journal of Operational Research, Elsevier, vol. 252(1), pages 79-89.
    6. Su, Ling-Huey & Tien, Yi-Yu, 2011. "Minimizing mean absolute deviation of completion time about a common due window subject to maximum tardiness for a single machine," International Journal of Production Economics, Elsevier, vol. 134(1), pages 196-203, November.
    7. Xingong, Zhang & Yong, Wang, 2015. "Single-machine scheduling CON/SLK due window assignment problems with sum-of-processed times based learning effect," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 628-635.
    8. Ming-Hui Li & Dan-Yang Lv & Yuan-Yuan Lu & Ji-Bo Wang, 2024. "Scheduling with Group Technology, Resource Allocation, and Learning Effect Simultaneously," Mathematics, MDPI, vol. 12(7), pages 1-21, March.
    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. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Scheduling deteriorating jobs with CON/SLK due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 131(2), pages 747-751, June.
    11. Min Ji & Sai Liu & Xiaolin Zhang & Keke Cao & T. C. E. Cheng, 2017. "Sequencing Games with Slack Due Windows and Group Technology Considerations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(2), pages 121-133, February.

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