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A frequency-based maritime container assignment model

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  • Bell, Michael G.H.
  • Liu, Xin
  • Angeloudis, Panagiotis
  • Fonzone, Achille
  • Hosseinloo, Solmaz Haji
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    Abstract

    This paper transfers the classic frequency-based transit assignment method of Spiess and Florian to containers demonstrating its promise as the basis for a global maritime container assignment model. In this model, containers are carried by shipping lines operating strings (or port rotations) with given service frequencies. An origin-destination matrix of full containers is assigned to these strings to minimize sailing time plus container dwell time at the origin port and any intermediate transhipment ports. This necessitated two significant model extensions. The first involves the repositioning of empty containers so that a net outflow of full containers from any port is balanced by a net inflow of empty containers, and vice versa. As with full containers, empty containers are repositioned to minimize the sum of sailing and dwell time, with a facility to discount the dwell time of empty containers in recognition of the absence of inventory. The second involves the inclusion of an upper limit to the maximum number of container moves per unit time at any port. The dual variable for this constraint provides a shadow price, or surcharge, for loading or unloading a container at a congested port. Insight into the interpretation of the dual variables is given by proposition and proof. Model behaviour is illustrated by a simple numerical example. The paper concludes by considering the next steps toward realising a container assignment model that can, amongst other things, support the assessment of supply chain vulnerability to maritime disruptions.

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    Bibliographic Info

    Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

    Volume (Year): 45 (2011)
    Issue (Month): 8 (September)
    Pages: 1152-1161

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    Handle: RePEc:eee:transb:v:45:y:2011:i:8:p:1152-1161

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    Related research

    Keywords: Assignment Logistics Containers Linear programming;

    References

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    1. Spiess, Heinz & Florian, Michael, 1989. "Optimal strategies: A new assignment model for transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 83-102, April.
    2. Harker, Patrick T. & Friesz, Terry L., 1986. "Prediction of intercity freight flows, I: Theory," Transportation Research Part B: Methodological, Elsevier, vol. 20(2), pages 139-153, April.
    3. de Jong, Gerard & Ben-Akiva, Moshe, 2007. "A micro-simulation model of shipment size and transport chain choice," Transportation Research Part B: Methodological, Elsevier, vol. 41(9), pages 950-965, November.
    4. Nguyen, S. & Pallottino, S., 1988. "Equilibrium traffic assignment for large scale transit networks," European Journal of Operational Research, Elsevier, vol. 37(2), pages 176-186, November.
    5. Harker, Patrick T. & Friesz, Terry L., 1986. "Prediction of intercity freight flows, II: Mathematical formulations," Transportation Research Part B: Methodological, Elsevier, vol. 20(2), pages 155-174, April.
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    Cited by:
    1. Wang, Tingsong & Meng, Qiang & Wang, Shuaian & Tan, Zhijia, 2013. "Risk management in liner ship fleet deployment: A joint chance constrained programming model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 60(C), pages 1-12.
    2. Wang, Shuaian & Meng, Qiang, 2012. "Robust schedule design for liner shipping services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1093-1106.
    3. Wang, Shuaian, 2014. "A novel hybrid-link-based container routing model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 165-175.
    4. Wang, Shuaian, 2013. "Essential elements in tactical planning models for container liner shipping," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 84-99.
    5. Wang, Shuaian & Meng, Qiang & Sun, Zhuo, 2013. "Container routing in liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 1-7.
    6. Bell, Michael G.H. & Liu, Xin & Rioult, Jeremy & Angeloudis, Panagiotis, 2013. "A cost-based maritime container assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 58-70.
    7. Wang, Shuaian & Meng, Qiang, 2012. "Liner ship route schedule design with sea contingency time and port time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 615-633.
    8. 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.
    9. Song, Dong-Ping & Dong, Jing-Xin, 2012. "Cargo routing and empty container repositioning in multiple shipping service routes," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1556-1575.
    10. Meng, Qiang & Wang, Shuaian, 2012. "Liner ship fleet deployment with week-dependent container shipment demand," European Journal of Operational Research, Elsevier, vol. 222(2), pages 241-252.
    11. Wang, Shuaian & Meng, Qiang, 2013. "Reversing port rotation directions in a container liner shipping network," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 61-73.
    12. Zheng, Jianfeng & Meng, Qiang & Sun, Zhuo, 2014. "Impact analysis of maritime cabotage legislations on liner hub-and-spoke shipping network design," European Journal of Operational Research, Elsevier, vol. 234(3), pages 874-884.
    13. 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.
    14. Wang, Shuaian & Meng, Qiang & Liu, Zhiyuan, 2013. "Bunker consumption optimization methods in shipping: A critical review and extensions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 49-62.

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