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The liner shipping berth scheduling problem with transit times

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  • Reinhardt, Line Blander
  • Plum, Christian E.M.
  • Pisinger, David
  • Sigurd, Mikkel M.
  • Vial, Guillaume T.P.

Abstract

In this paper speed optimization of an existing liner shipping network is solved by adjusting the port berth times. The objective is to minimize fuel consumption while retaining the customer transit times including the transhipment times. To avoid too many changes to the time table, changes of port berth times are only accepted if they lead to savings above a threshold value. Since the fuel consumption of a vessel is a non-linear convex function of the speed, it is approximated by a piecewise linear function. The developed model is solved using exact methods in less than two minutes for large instances. Computational experiments on real-size liner shipping networks are presented showing that fuels savings in the magnitude 2–10% can be obtained. The work has been carried out in collaboration with Maersk Line and the tests instances are confirmed to be representative of real-life networks.

Suggested Citation

  • Reinhardt, Line Blander & Plum, Christian E.M. & Pisinger, David & Sigurd, Mikkel M. & Vial, Guillaume T.P., 2016. "The liner shipping berth scheduling problem with transit times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 116-128.
    • Handle: RePEc:eee:transe:v:86:y:2016:i:c:p:116-128
    DOI: 10.1016/j.tre.2015.12.006
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    4. Wang, Yadong & Wang, Shuaian, 2021. "Deploying, scheduling, and sequencing heterogeneous vessels in a liner container shipping route," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 151(C).
    5. Xu Zhao & Qianjun Lin & Hao Yu, 2019. "An Improved Mathematical Model for Green Lock Scheduling Problem of the Three Gorges Dam," Sustainability, MDPI, vol. 11(9), pages 1-23, May.
    6. Yu, Jingjing & Tang, Guolei & Song, Xiangqun, 2022. "Collaboration of vessel speed optimization with berth allocation and quay crane assignment considering vessel service differentiation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
    7. Massimo Giovannini & Harilaos N. Psaraftis, 2019. "The profit maximizing liner shipping problem with flexible frequencies: logistical and environmental considerations," Flexible Services and Manufacturing Journal, Springer, vol. 31(3), pages 567-597, September.
    8. Kevin Tierney & Jan Fabian Ehmke & Ann Melissa Campbell & Daniel Müller, 2019. "Liner shipping single service design problem with arrival time service levels," Flexible Services and Manufacturing Journal, Springer, vol. 31(3), pages 620-652, September.
    9. Christian Va Karsten & Stefan Ropke & David Pisinger, 2018. "Simultaneous Optimization of Container Ship Sailing Speed and Container Routing with Transit Time Restrictions," Transportation Science, INFORMS, vol. 52(4), pages 769-787, August.
    10. Jone R. Hansen & Kjetil Fagerholt & Frank Meisel & Jørgen G. Rakke, 2019. "Planning interrelated voyages with separation requirements in roll-on roll-off shipping," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 633-659, December.
    11. Zhen, Lu & Wu, Yiwei & Wang, Shuaian & Laporte, Gilbert, 2020. "Green technology adoption for fleet deployment in a shipping network," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 388-410.
    12. Chen, Haihong & Zuo, Lili & Wu, Changchun & Li, Qingping, 2019. "An MILP formulation for optimizing detailed schedules of a multiproduct pipeline network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 142-164.
    13. Mulder, Judith & Dekker, Rommert, 2019. "Designing robust liner shipping schedules: Optimizing recovery actions and buffer times," European Journal of Operational Research, Elsevier, vol. 272(1), pages 132-146.
    14. Reinhardt, Line Blander & Pisinger, David & Sigurd, Mikkel M. & Ahmt, Jonas, 2020. "Speed optimizations for liner networks with business constraints," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1127-1140.
    15. Judith Mulder & Willem van Jaarsveld & Rommert Dekker, 2019. "Simultaneous Optimization of Speed and Buffer Times with an Application to Liner Shipping," Transportation Science, INFORMS, vol. 53(2), pages 365-382, March.
    16. Zhao, Shuaiqi & Yang, Hualong & Zheng, Jianfeng & Li, Dechang, 2024. "A two-step approach for deploying heterogeneous vessels and designing reliable schedule in liner shipping services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 182(C).

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