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An improved two-machine flowshop scheduling with intermediate transportation

Author

Listed:
  • Jianming Dong

    (Zhejiang Sci-Tech University)

  • Xueshi Wang

    (Zhejiang Sci-Tech University)

  • Jueliang Hu

    (Zhejiang Sci-Tech University)

  • Guohui Lin

    (Zhejiang Sci-Tech University
    University of Alberta)

Abstract

A two-machine flowshop scheduling problem with intermediate transportation is investigated in this paper, where jobs of varying sizes finished on the first machine need to be transported to the other machine for further processing. One service vehicle of a limited capacity is used for transportation between the two machines. The problem objective is to minimize the makespan, that is the finishing time of the last job on the second machine. Using a better bin-packing algorithm and balancing between two schedules, we present an $$\frac{11}{5}$$ 11 5 -approximation algorithm for the problem, which improves the previously best $$\frac{7}{3}$$ 7 3 -approximation algorithm by Gong and Tang.

Suggested Citation

  • Jianming Dong & Xueshi Wang & Jueliang Hu & Guohui Lin, 2016. "An improved two-machine flowshop scheduling with intermediate transportation," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1316-1334, April.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:3:d:10.1007_s10878-014-9825-y
    DOI: 10.1007/s10878-014-9825-y
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    References listed on IDEAS

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    1. Zhong, Weiya & Dosa, Gyorgy & Tan, Zhiyi, 2007. "On the machine scheduling problem with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1057-1072, November.
    2. Chang, Yung-Chia & Lee, Chung-Yee, 2004. "Machine scheduling with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 158(2), pages 470-487, October.
    3. Bayi Cheng & Shanlin Yang & Xiaoxuan Hu & Kai Li, 2014. "Scheduling algorithm for flow shop with two batch-processing machines and arbitrary job sizes," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 571-578.
    4. Cheng, T. C. Edwin & Gordon, Valery S. & Kovalyov, Mikhail Y., 1996. "Single machine scheduling with batch deliveries," European Journal of Operational Research, Elsevier, vol. 94(2), pages 277-283, October.
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