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Online scheduling of two-machine flowshop with lookahead and incompatible job families

Author

Listed:
  • Xia Qian

    (Chongqing Normal University)

  • Zhang Xingong

    (Chongqing Normal University)

Abstract

This paper considers online scheduling on two unit flowshop machines, which there exists unbounded parallel-batch scheduling with incompatible job families and lookahead intervals. The unit flowshop machine means that the processing time of any job on each machine is unit processing time. The objective is to minimize the maximum completion time. The lookahead model means that an online algorithm can foresee the information of all jobs arriving in time interval $$(t,t+\beta ]$$ ( t , t + β ] at time t. There exist incompatible job families, that is, jobs belonging to different families cannot be processed in the same batch. In this paper, we address the lower bound of the proposed problem, and provide a best possible online algorithm of competitive ratio $$1+\alpha _f$$ 1 + α f for $$0\le \beta

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:1:d:10.1007_s10878-022-00974-8
    DOI: 10.1007/s10878-022-00974-8
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    References listed on IDEAS

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    1. Ran Lin & Wenhua Li & Xing Chai, 2021. "On-line scheduling with equal-length jobs on parallel-batch machines to minimise maximum flow-time with delivery times," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(8), pages 1754-1761, August.
    2. 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.
    3. Chengwen Jiao & Jinjiang Yuan & Qi Feng, 2019. "Online Algorithms for Scheduling Unit Length Jobs on Unbounded Parallel-Batch Machines with Linearly Lookahead," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(05), pages 1-8, October.
    4. Hailing Liu & Xiwen Lu, 2021. "An Online Scheduling Problem on a Drop-Line Parallel Batch Machine with Delivery Times and Limited Restart," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 38(06), pages 1-26, December.
    5. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
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