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Transportation and Batching Scheduling for Minimizing Total Weighted Completion Time

Author

Listed:
  • Hongjun Wei

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

  • Jinjiang Yuan

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

  • Yuan Gao

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

Abstract

We consider the coordination of transportation and batching scheduling with one single vehicle for minimizing total weighted completion time. The computational complexity of the problem with batch capacity of at least 2 was posed as open in the literature. For this problem, we show the unary NP-hardness for every batch capacity at least 3 and present a polynomial-time 3-approximation algorithm when the batch capacity is at least 2.

Suggested Citation

  • Hongjun Wei & Jinjiang Yuan & Yuan Gao, 2019. "Transportation and Batching Scheduling for Minimizing Total Weighted Completion Time," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:819-:d:264520
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    References listed on IDEAS

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    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Michele Ciavotta & Carlo Meloni & Marco Pranzo, 2016. "Speeding up a Rollout algorithm for complex parallel machine scheduling," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4993-5009, August.
    3. J. A. Hoogeveen & T. Kawaguchi, 1999. "Minimizing Total Completion Time in a Two-Machine Flowshop: Analysis of Special Cases," Mathematics of Operations Research, INFORMS, vol. 24(4), pages 887-910, November.
    4. Nicholas Hall & Chris Potts, 2005. "The Coordination of Scheduling and Batch Deliveries," Annals of Operations Research, Springer, vol. 135(1), pages 41-64, March.
    5. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
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