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On optimal due date assignment without restriction and resource allocation in group technology scheduling

Author

Listed:
  • Ying Chen

    (Xi’an Jiaotong University)

  • Xiaole Ma

    (CASIC Research Institute of Intelligent Decision Engineering)

  • Guiqing Zhang

    (Xi’an Jiaotong University)

  • Yongxi Cheng

    (Xi’an Jiaotong University
    State Key Lab for Manufacturing Systems Engineering)

Abstract

A single machine group scheduling problem with due date assignment and resource allocation is investigated. Based on production similarities, jobs are classified into groups and it is required that jobs within the same group are processed contiguously, in order to achieve high-volume production efficiency. Jobs in the same group are allowed to have different due dates. The job processing times are resource dependent, and both convex and bounded linear resource consumption functions are considered. The aim is minimizing an aggregate cost which takes into account earliness, tardiness, due date assignment and resource allocation costs, by finding a group schedule, due date assignment and resource allocation for all jobs. For both resource consumption functions, we present properties of the optimal solutions, and for the special case where the size of every group is the same and the minimum of the due date assignment cost and the tardiness cost for each job is identical, we present an algorithm to optimally solve the problem in $$O(n^3)$$ O ( n 3 ) time, where n is the total number of jobs.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:2:d:10.1007_s10878-023-00993-z
    DOI: 10.1007/s10878-023-00993-z
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    References listed on IDEAS

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    1. 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.
    2. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    3. 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.
    4. Shabtay, Dvir, 2016. "Optimal restricted due date assignment in scheduling," European Journal of Operational Research, Elsevier, vol. 252(1), pages 79-89.
    5. Li-Yan Wang & Mengqi Liu & Ji-Bo Wang & Yuan-Yuan Lu & Wei-Wei Liu & Lei Xie, 2021. "Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology," Complexity, Hindawi, vol. 2021, pages 1-9, March.
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    Cited by:

    1. 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.
    2. 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.
    3. Xuyin Wang & Weiguo Liu, 2024. "Optimal Different Due-Date Assignment Scheduling with Group Technology and Resource Allocation," Mathematics, MDPI, vol. 12(3), pages 1-17, January.

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