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An improved approximation algorithm for a scheduling problem with transporter coordination

Author

Listed:
  • Yinling Wang

    (Zhengzhou University)

  • Xin Han

    (Dalian University of Technology)

  • Yong Zhang

    (Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences)

  • Jacek Blazewicz

    (Poznan University of Technology
    Institute of Bioorganic Chemistry, Polish Academy of Sciences
    European Center for Bioinformatics and Genomics)

Abstract

We study the following scheduling problem with transportation. Given a set of n jobs that need to be processed on a single machine, we need to deliver the finished jobs to one of the two destinations using a single transporter. The goal is to minimize the time that all the jobs are delivered to their destination, such that the transporter returns. We propose a $$11/6+\varepsilon $$ 11 / 6 + ε -approximation algorithm which improves upon the best-known approximation ratio of 2.

Suggested Citation

  • Yinling Wang & Xin Han & Yong Zhang & Jacek Blazewicz, 2023. "An improved approximation algorithm for a scheduling problem with transporter coordination," Journal of Scheduling, Springer, vol. 26(6), pages 559-570, December.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:6:d:10.1007_s10951-022-00762-6
    DOI: 10.1007/s10951-022-00762-6
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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. Jacek Blazewicz & Klaus H. Ecker & Erwin Pesch & Günter Schmidt & Malgorzata Sterna & Jan Weglarz, 2019. "Handbook on Scheduling," International Handbooks on Information Systems, Springer, edition 2, number 978-3-319-99849-7, June.
    4. Scott Webster & Kenneth R. Baker, 1995. "Scheduling Groups of Jobs on a Single Machine," Operations Research, INFORMS, vol. 43(4), pages 692-703, August.
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