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Containership scheduling with transit-time-sensitive container shipment demand

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  • Wang, Shuaian
  • Meng, Qiang
  • Liu, Zhiyuan

Abstract

This paper examines the optimal containership schedule with transit-time-sensitive demand that is assumed to be a decreasing continuous function of transit time. A mixed-integer nonlinear non-convex optimization model is first formulated to maximize the total profit of a ship route. In view of the problem structure, a branch-and-bound based holistic solution method is developed. It is rigorously demonstrated that this solution method can obtain an ε-optimal solution in a finite number of iterations for general forms of transit-time-sensitive demand. Computational results based on a trans-Pacific liner ship route demonstrate the applicability and efficiency of the solution method.

Suggested Citation

  • Wang, Shuaian & Meng, Qiang & Liu, Zhiyuan, 2013. "Containership scheduling with transit-time-sensitive container shipment demand," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 68-83.
    • Handle: RePEc:eee:transb:v:54:y:2013:i:c:p:68-83
    DOI: 10.1016/j.trb.2013.04.003
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    Cited by:

    1. Wang, Shuaian & Liu, Zhiyuan & Bell, Michael G.H., 2015. "Profit-based maritime container assignment models for liner shipping networks," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 59-76.
    2. Meng, Qiang & Lee, Chung-Yee, 2016. "Liner container assignment model with transit-time-sensitive container shipment demand and its applicationsAuthor-Name: Wang, Shuaian," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 135-155.
    3. Liu, Zhiyuan & Meng, Qiang & Wang, Shuaian & Sun, Zhuo, 2014. "Global intermodal liner shipping network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 28-39.
    4. Lai, Xiaofan & Wu, Lingxiao & Wang, Kai & Wang, Fan, 2022. "Robust ship fleet deployment with shipping revenue management," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 169-196.
    5. Maxim A. Dulebenets & Junayed Pasha & Olumide F. Abioye & Masoud Kavoosi, 2021. "Vessel scheduling in liner shipping: a critical literature review and future research needs," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 43-106, March.
    6. 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.
    7. Wang, Shuaian & Meng, Qiang, 2015. "Robust bunker management for liner shipping networks," European Journal of Operational Research, Elsevier, vol. 243(3), pages 789-797.
    8. Wang, Shuaian & Qu, Xiaobo & Yang, Ying, 2015. "Estimation of the perceived value of transit time for containerized cargoes," Transportation Research Part A: Policy and Practice, Elsevier, vol. 78(C), pages 298-308.
    9. Wang, Shuaian, 2015. "Optimal sequence of container ships in a string," European Journal of Operational Research, Elsevier, vol. 246(3), pages 850-857.
    10. Wang, Hua & Wang, Shuaian & Meng, Qiang, 2014. "Simultaneous optimization of schedule coordination and cargo allocation for liner container shipping networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 261-273.
    11. Wang, Shuaian & Wang, Xinchang, 2016. "A polynomial-time algorithm for sailing speed optimization with containership resource sharing," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 394-405.
    12. Sun, Qinghe & Li, Wei & Meng, Qiang, 2024. "Single-leg shipping revenue management for expedited services with ambiguous elasticity in transit-time-sensitive demand," Transportation Research Part B: Methodological, Elsevier, vol. 180(C).
    13. Trivella, Alessio & Corman, Francesco & Koza, David F. & Pisinger, David, 2021. "The multi-commodity network flow problem with soft transit time constraints: Application to liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 150(C).
    14. Harilaos N. Psaraftis, 2019. "Ship routing and scheduling: the cart before the horse conjecture," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 21(1), pages 111-124, March.
    15. David F. Koza & Guy Desaulniers & Stefan Ropke, 2020. "Integrated Liner Shipping Network Design and Scheduling," Transportation Science, INFORMS, vol. 54(2), pages 512-533, March.
    16. Zheng, Jianfeng & Zhang, Wenlong & Qi, Jingwen & Wang, Shuaian, 2019. "Canal effects on a liner hub location problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 230-247.
    17. Lin, Dung-Ying & Tsai, Yu-Yun, 2014. "The ship routing and freight assignment problem for daily frequency operation of maritime liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 52-70.
    18. Lu Zhen & Shucheng Yu & Shuaian Wang & Zhuo Sun, 2019. "Scheduling quay cranes and yard trucks for unloading operations in container ports," Annals of Operations Research, Springer, vol. 273(1), pages 455-478, February.

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