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Online scheduling to minimize maximum weighted flow-time on a bounded parallel-batch machine

Author

Listed:
  • Xing Chai

    (Zhengzhou University
    Henan University of Technology)

  • Wenhua Li

    (Zhengzhou University)

  • Yuejuan Zhu

    (Zhengzhou University)

Abstract

An online scheduling problem on a bounded parallel-batch machine to minimize the maximum weighted flow-time is considered in this paper. Jobs arrive over time with the identical processing time. The maximum ratio between the weights of any two jobs is w. The parallel-batch machine can process at most b jobs simultaneously as a batch, and the jobs in a batch have the same starting time and the same completion time. For this problem, a deterministic online algorithm is presented. The algorithm is showed to be the best possible with a competitive ratio of $$\frac{\sqrt{4w+1}+1}{2}$$ 4 w + 1 + 1 2 when $$w\in [1,2]$$ w ∈ [ 1 , 2 ] , and to have a competitive ratio not greater than w when $$w\in (2,+\infty )$$ w ∈ ( 2 , + ∞ ) .

Suggested Citation

  • Xing Chai & Wenhua Li & Yuejuan Zhu, 2021. "Online scheduling to minimize maximum weighted flow-time on a bounded parallel-batch machine," Annals of Operations Research, Springer, vol. 298(1), pages 79-93, March.
    • Handle: RePEc:spr:annopr:v:298:y:2021:i:1:d:10.1007_s10479-019-03352-6
    DOI: 10.1007/s10479-019-03352-6
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    References listed on IDEAS

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    1. Chengwen Jiao & Wenhua Li & Jinjiang Yuan, 2014. "A Best Possible Online Algorithm For Scheduling To Minimize Maximum Flow-Time On Bounded Batch Machines," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-10.
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    Cited by:

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    3. Xia Qian & Zhang Xingong, 2023. "Online scheduling of two-machine flowshop with lookahead and incompatible job families," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-11, January.

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