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Research on single-machine scheduling with position-dependent weights and past-sequence-dependent delivery times

Author

Listed:
  • Ji-Bo Wang

    (Shenyang Aerospace University)

  • Bo Cui

    (Shenyang Aerospace University)

  • Ping Ji

    (The Hong Kong Polytechnic University)

  • Wei-Wei Liu

    (Shenyang Sport University)

Abstract

This article studies scheduling problems with past-sequence-dependent delivery times (denoted by psddt) on a single-machine, i.e., the delivery time of a job depends on its waiting time of processing. We prove that the total (discounted) weighted completion time minimization can be solved in $$O(n\log n)$$ O ( n log n ) time, where n is the number of jobs, and the weight is a position-dependent weight. For common (denoted by con) and slack (denoted by slk) due-date assignment and position-dependent weights (denoted by pdw), we prove that an objective cost minimization is solvable in $$O(n\log n)$$ O ( n log n ) time. The model (i.e., psddt and pdw) can also be extended to position-dependent (time-dependent) processing times.

Suggested Citation

  • Ji-Bo Wang & Bo Cui & Ping Ji & Wei-Wei Liu, 2021. "Research on single-machine scheduling with position-dependent weights and past-sequence-dependent delivery times," Journal of Combinatorial Optimization, Springer, vol. 41(2), pages 290-303, February.
    • Handle: RePEc:spr:jcomop:v:41:y:2021:i:2:d:10.1007_s10878-020-00676-z
    DOI: 10.1007/s10878-020-00676-z
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    References listed on IDEAS

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    Cited by:

    1. Jin Qian & Yu Zhan, 2022. "The Due Window Assignment Problems with Deteriorating Job and Delivery Time," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    2. 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.
    3. Yi-Chun Wang & Si-Han Wang & Ji-Bo Wang, 2023. "Resource Allocation Scheduling with Position-Dependent Weights and Generalized Earliness–Tardiness Cost," Mathematics, MDPI, vol. 11(1), pages 1-11, January.
    4. Zong-Jun Wei & Li-Yan Wang & Lei Zhang & Ji-Bo Wang & Ershen Wang, 2023. "Single-Machine Maintenance Activity Scheduling with Convex Resource Constraints and Learning Effects," Mathematics, MDPI, vol. 11(16), pages 1-21, August.

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