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Two-agent preemptive Pareto-scheduling to minimize the number of tardy jobs and total late work

Author

Listed:
  • Ruyan He

    (Zhengzhou University)

  • Jinjiang Yuan

    (Zhengzhou University)

  • C. T. Ng

    (The Hong Kong Polytechnic University)

  • T. C. E. Cheng

    (The Hong Kong Polytechnic University)

Abstract

We consider the single-machine preemptive Pareto-scheduling problem with two competing agents A and B, where agent A wants to minimize the number of its jobs (the A-jobs) that is tardy, while agent B wants to minimize the total late work of its jobs (the B-jobs). We provide an $$O(nn_{A}\log n_{A}+n_B\log n_B)$$ O ( n n A log n A + n B log n B ) -time algorithm that generates all the Pareto-optimal points, where $$n_A$$ n A is the number of the A-jobs, $$n_B$$ n B is the number of the B-jobs, and $$n=n_A+n_B$$ n = n A + n B .

Suggested Citation

  • Ruyan He & Jinjiang Yuan & C. T. Ng & T. C. E. Cheng, 2021. "Two-agent preemptive Pareto-scheduling to minimize the number of tardy jobs and total late work," Journal of Combinatorial Optimization, Springer, vol. 41(2), pages 504-525, February.
    • Handle: RePEc:spr:jcomop:v:41:y:2021:i:2:d:10.1007_s10878-021-00697-2
    DOI: 10.1007/s10878-021-00697-2
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    References listed on IDEAS

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    Cited by:

    1. Chen, Rubing & Geng, Zhichao & Lu, Lingfa & Yuan, Jinjiang & Zhang, Yuan, 2022. "Pareto-scheduling of two competing agents with their own equal processing times," European Journal of Operational Research, Elsevier, vol. 301(2), pages 414-431.
    2. Shuen Guo & Hao Lang & Hanxiang Zhang, 2023. "Scheduling of Jobs with Multiple Weights on a Single Machine for Minimizing the Total Weighted Number of Tardy Jobs," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    3. Shi-Sheng Li & Ren-Xia Chen, 2022. "Minimizing total weighted late work on a single-machine with non-availability intervals," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1330-1355, September.
    4. Shi-Sheng Li & Ren-Xia Chen, 2023. "Competitive two-agent scheduling with release dates and preemption on a single machine," Journal of Scheduling, Springer, vol. 26(3), pages 227-249, June.
    5. Sterna, Małgorzata, 2021. "Late and early work scheduling: A survey," Omega, Elsevier, vol. 104(C).

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