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A mathematical model of inter-terminal transportation

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  • Tierney, Kevin
  • Voß, Stefan
  • Stahlbock, Robert

Abstract

We present a novel integer programming model for analyzing inter-terminal transportation (ITT) in new and expanding sea ports. ITT is the movement of containers between terminals (sea, rail or otherwise) within a port. ITT represents a significant source of delay for containers being transshipped, which costs ports money and affects a port’s reputation. Our model assists ports in analyzing the impact of new infrastructure, the placement of terminals, and ITT vehicle investments. We provide analysis of ITT at two ports, the port of Hamburg, Germany and the Maasvlakte 1 & 2 area of the port of Rotterdam, The Netherlands, in which we solve a vehicle flow combined with a multi-commodity container flow on a congestion based time–space graph to optimality. We introduce a two-step solution procedure that computes a relaxation of the overall ITT problem in order to find solutions faster. Our graph contains special structures to model the long term loading and unloading of vehicles, and our model is general enough to model a number of important real-world aspects of ITT, such as traffic congestion, penalized late container delivery, multiple ITT transportation modes, and port infrastructure modifications. We show that our model can scale to real-world sizes and provide ports with important information for their long term decision making.

Suggested Citation

  • Tierney, Kevin & Voß, Stefan & Stahlbock, Robert, 2014. "A mathematical model of inter-terminal transportation," European Journal of Operational Research, Elsevier, vol. 235(2), pages 448-460.
    • Handle: RePEc:eee:ejores:v:235:y:2014:i:2:p:448-460
    DOI: 10.1016/j.ejor.2013.07.007
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    Cited by:

    1. Li, Shijie & Negenborn, Rudy R. & Lodewijks, Gabriel, 2017. "Closed-loop coordination of inland vessels operations in large seaports using hybrid logic-based benders decomposition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 1-21.
    2. Leonard Heilig & Stefan Voß, 2017. "Inter-terminal transportation: an annotated bibliography and research agenda," Flexible Services and Manufacturing Journal, Springer, vol. 29(1), pages 35-63, March.
    3. Nellen, Nicole & Poeting, Moritz & Bschorer, Kristina & Jahn, Carlos & Clausen, Uwe, 2020. "Impact of port layouts on inter-terminal-transportation networks," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Jahn, Carlos & Kersten, Wolfgang & Ringle, Christian M. (ed.), Data Science in Maritime and City Logistics: Data-driven Solutions for Logistics and Sustainability. Proceedings of the Hamburg International Conferen, volume 30, pages 181-209, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    4. Xiaoju Zhang & Yue Gu & Yuqing Yang & Baoli Liu, 2023. "Comparing the Efficiency of Two Types of Yard Layout in Container Terminals," Sustainability, MDPI, vol. 15(9), pages 1-18, April.
    5. Qu Hu & Bart Wiegmans & Francesco Corman & Gabriel Lodewijks, 2019. "Integration of inter-terminal transport and hinterland rail transport," Flexible Services and Manufacturing Journal, Springer, vol. 31(3), pages 807-831, September.
    6. Daniela Ambrosino & Claudia Caballini, 2019. "New solution approaches for the train load planning problem," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 299-325, September.
    7. Zheng, Huarong & Negenborn, Rudy R. & Lodewijks, Gabriël, 2017. "Closed-loop scheduling and control of waterborne AGVs for energy-efficient Inter Terminal Transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 261-278.
    8. Leonard Heilig & Eduardo Lalla-Ruiz & Stefan Voß, 2017. "port-IO: an integrative mobile cloud platform for real-time inter-terminal truck routing optimization," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 504-534, December.
    9. Schepler, Xavier & Balev, Stefan & Michel, Sophie & Sanlaville, Éric, 2017. "Global planning in a multi-terminal and multi-modal maritime container port," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 38-62.
    10. Nishant Mishra & Debjit Roy & Jan-Kees van Ommeren, 2017. "A Stochastic Model for Interterminal Container Transportation," Transportation Science, INFORMS, vol. 51(1), pages 67-87, February.
    11. Lu Zhen & Wenya Lv & Zheyi Tan & Bin Dong, 2022. "Container Transportation Scheduling Between Port Yards and the Hinterland in Yunfeng," Interfaces, INFORMS, vol. 52(3), pages 250-266, May.
    12. Heilig, Leonard & Lalla-Ruiz, Eduardo & Voß, Stefan, 2017. "Multi-objective inter-terminal truck routing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 178-202.
    13. Buddhi A. Weerasinghe & H. Niles Perera & Xiwen Bai, 2024. "Optimizing container terminal operations: a systematic review of operations research applications," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 26(2), pages 307-341, June.
    14. Kevin Tierney & Dario Pacino & Stefan Voß, 2017. "Solving the pre-marshalling problem to optimality with A* and IDA," Flexible Services and Manufacturing Journal, Springer, vol. 29(2), pages 223-259, June.
    15. Amir Gharehgozli & Nima Zaerpour & Rene Koster, 2020. "Container terminal layout design: transition and future," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 22(4), pages 610-639, December.
    16. Tanaka, Shunji & Tierney, Kevin, 2018. "Solving real-world sized container pre-marshalling problems with an iterative deepening branch-and-bound algorithm," European Journal of Operational Research, Elsevier, vol. 264(1), pages 165-180.
    17. Elifcan Göçmen & Rızvan Erol, 2018. "The Problem of Sustainable Intermodal Transportation: A Case Study of an International Logistics Company, Turkey," Sustainability, MDPI, vol. 10(11), pages 1-16, November.
    18. Cimpeanu, Radu & Devine, Mel T. & O’Brien, Conor, 2017. "A simulation model for the management and expansion of extended port terminal operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 98(C), pages 105-131.
    19. Caris, An & Limbourg, Sabine & Macharis, Cathy & van Lier, Tom & Cools, Mario, 2014. "Integration of inland waterway transport in the intermodal supply chain: a taxonomy of research challenges," Journal of Transport Geography, Elsevier, vol. 41(C), pages 126-136.

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