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Tighter MIP models for Barge Container Ship Routing

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  • Alfandari, Laurent
  • Davidović, Tatjana
  • Furini, Fabio
  • Ljubić, Ivana
  • Maraš, Vladislav
  • Martin, Sébastien

Abstract

This paper addresses the problem of optimal planning of a liner service for a barge container shipping company. Given estimated weekly demands between pairs of ports, our goal is to determine the subset of ports to be called and the amount of containers to be shipped between each pair of ports, so as to maximize the profit of the shipping company. In order to save possible leasing or storage costs of empty containers at the respective ports, our approach takes into account the repositioning of empty containers. The line has to follow the outbound–inbound principle, starting from the port at the river mouth. We propose a novel integrated approach in which the shipping company can simultaneously optimize the route (along with repositioning of empty containers), the choice of the final port, length of the turnaround time and the size of its fleet. To solve this problem, a new mixed integer programming model is proposed. On the publicly available set of benchmark instances for barge container routing, we demonstrate that this model provides very tight dual bounds and significantly outperforms the existing approaches from the literature for splittable demands.

Suggested Citation

  • Alfandari, Laurent & Davidović, Tatjana & Furini, Fabio & Ljubić, Ivana & Maraš, Vladislav & Martin, Sébastien, 2019. "Tighter MIP models for Barge Container Ship Routing," Omega, Elsevier, vol. 82(C), pages 38-54.
    • Handle: RePEc:eee:jomega:v:82:y:2019:i:c:p:38-54
    DOI: 10.1016/j.omega.2017.12.002
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    1. Krishan Rana & R. G. Vickson, 1988. "A Model and Solution Algorithm for Optimal Routing of a Time-Chartered Containership," Transportation Science, INFORMS, vol. 22(2), pages 83-95, May.
    2. Krishan Rana & R. G. Vickson, 1991. "Routing Container Ships Using Lagrangean Relaxation and Decomposition," Transportation Science, INFORMS, vol. 25(3), pages 201-214, August.
    3. Shintani, Koichi & Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2007. "The container shipping network design problem with empty container repositioning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(1), pages 39-59, January.
    4. Norlund, Ellen Karoline & Gribkovskaia, Irina & Laporte, Gilbert, 2015. "Supply vessel planning under cost, environment and robustness considerations," Omega, Elsevier, vol. 57(PB), pages 271-281.
    5. Meng, Qiang & Wang, Shuaian, 2011. "Liner shipping service network design with empty container repositioning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 695-708, September.
    6. Fagerholt, Kjetil & Christiansen, Marielle & Magnus Hvattum, Lars & Johnsen, Trond A.V. & Vabø, Thor J., 2010. "A decision support methodology for strategic planning in maritime transportation," Omega, Elsevier, vol. 38(6), pages 465-474, December.
    7. Qiang Meng & Shuaian Wang & Henrik Andersson & Kristian Thun, 2014. "Containership Routing and Scheduling in Liner Shipping: Overview and Future Research Directions," Transportation Science, INFORMS, vol. 48(2), pages 265-280, May.
    8. Dong, Jing-Xin & Song, Dong-Ping, 2009. "Container fleet sizing and empty repositioning in liner shipping systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(6), pages 860-877, November.
    9. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    10. 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.
    11. Berit Dangaard Brouer & Christian Vad Karsten & David Pisinger, 2017. "Optimization in liner shipping," 4OR, Springer, vol. 15(1), pages 1-35, March.
    12. Christiansen, Marielle & Fagerholt, Kjetil & Nygreen, Bjørn & Ronen, David, 2013. "Ship routing and scheduling in the new millennium," European Journal of Operational Research, Elsevier, vol. 228(3), pages 467-483.
    13. Dong-Ping Song & Jing-Xin Dong, 2015. "Empty Container Repositioning," International Series in Operations Research & Management Science, in: Chung-Yee Lee & Qiang Meng (ed.), Handbook of Ocean Container Transport Logistics, edition 127, chapter 6, pages 163-208, Springer.
    14. Zhongzhen Yang & Haiping Shi & Kang Chen & Hongli Bao, 2014. "Optimization of container liner network on the Yangtze River," Maritime Policy & Management, Taylor & Francis Journals, vol. 41(1), pages 79-96, January.
    15. Berit D. Brouer & J. Fernando Alvarez & Christian E. M. Plum & David Pisinger & Mikkel M. Sigurd, 2014. "A Base Integer Programming Model and Benchmark Suite for Liner-Shipping Network Design," Transportation Science, INFORMS, vol. 48(2), pages 281-312, May.
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