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A polynomial-time algorithm for sailing speed optimization with containership resource sharing

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  • Wang, Shuaian
  • Wang, Xinchang

Abstract

The sailing speed optimization problem aims to determine the optimal cruising speeds of ships by balancing the number of ships required on services, the fuel consumption, and the level of service provided for customers. The level of service can be incorporated into a sailing speed optimization model from the perspective of supply chain management or from the perspective of shipping lines. We design a polynomial-time algorithm workable to solve the two models based on bi-section search methods. The novelties of the algorithm include constructing a new parameter on which the bi-section search will be executed and deriving a near-optimal solution by taking advantage of the problem structure. We also provide theoretical results that guarantee the validity of the polynomial-time algorithm.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:transb:v:93:y:2016:i:pa:p:394-405
    DOI: 10.1016/j.trb.2016.08.003
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    Cited by:

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    2. Shuaian Wang & Dan Zhuge & Lu Zhen & Chung-Yee Lee, 2021. "Liner Shipping Service Planning Under Sulfur Emission Regulations," Transportation Science, INFORMS, vol. 55(2), pages 491-509, March.
    3. Xiangang Lan & Xiaode Zuo & Qin Tao, 2023. "Container Shipping Optimization under Different Carbon Emission Policies: A Case Study," Sustainability, MDPI, vol. 15(10), pages 1-20, May.
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    5. 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.
    6. Junayed Pasha & Maxim A. Dulebenets & Masoud Kavoosi & Olumide F. Abioye & Oluwatosin Theophilus & Hui Wang & Raphael Kampmann & Weihong Guo, 2020. "Holistic tactical-level planning in liner shipping: an exact optimization approach," Journal of Shipping and Trade, Springer, vol. 5(1), pages 1-35, December.
    7. Zhijia Tan & Yadong Wang & Qiang Meng & Zhixue Liu, 2018. "Joint Ship Schedule Design and Sailing Speed Optimization for a Single Inland Shipping Service with Uncertain Dam Transit Time," Service Science, INFORMS, vol. 52(6), pages 1570-1588, December.
    8. Yan, Ran & Wang, Shuaian & Du, Yuquan, 2020. "Development of a two-stage ship fuel consumption prediction and reduction model for a dry bulk ship," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 138(C).
    9. He, Qie & Zhang, Xiaochen & Nip, Kameng, 2017. "Speed optimization over a path with heterogeneous arc costs," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 198-214.

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