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Two-agent scheduling with deteriorating jobs on a single parallel-batching machine: refining computational complexity

Author

Listed:
  • Mikhail Y. Kovalyov

    (National Academy of Sciences of Belarus
    Vilnius Gediminas Technical University)

  • Dmitrij Šešok

    (Vilnius Gediminas Technical University)

Abstract

Tang et al. (Eur J Oper Res 263:401–411, 2017) have recently introduced a parallel-batching machine scheduling problem with linearly deteriorating jobs of two agents and presented a computational complexity classification of various special cases of this problem, including a number of NP-hardness proofs. We refine these results by demonstrating strong NP-hardness of several special cases, which are proved NP-hard in the ordinary sense in Tang et al. (Eur J Oper Res 263:401–411, 2017). Our reduction employs the problem studied in the first issue of Journal of Scheduling.

Suggested Citation

  • Mikhail Y. Kovalyov & Dmitrij Šešok, 2019. "Two-agent scheduling with deteriorating jobs on a single parallel-batching machine: refining computational complexity," Journal of Scheduling, Springer, vol. 22(5), pages 603-606, October.
    • Handle: RePEc:spr:jsched:v:22:y:2019:i:5:d:10.1007_s10951-019-00613-x
    DOI: 10.1007/s10951-019-00613-x
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    Citations

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    Cited by:

    1. 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.
    2. Dujuan Wang & Yugang Yu & Huaxin Qiu & Yunqiang Yin & T. C. E. Cheng, 2020. "Two‐agent scheduling with linear resource‐dependent processing times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(7), pages 573-591, October.

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