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Ship routing and scheduling with flexible cargo sizes

Author

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  • G Brønmo

    (Norwegian University of Science and Technology)

  • M Christiansen

    (Norwegian University of Science and Technology)

  • B Nygreen

    (Norwegian University of Science and Technology)

Abstract

Here, we describe a real planning problem in the tramp shipping industry. A tramp shipping company may have a certain amount of contract cargoes that it is committed to carry, and tries to maximize the profit from optional cargoes. For real long-term contracts, the sizes of the cargoes are flexible. However, in previous research within tramp ship routing, the cargo quantities are regarded as fixed. We present an MP-model of the problem and a set partitioning approach to solve the multi-ship pickup and delivery problem with time windows and flexible cargo sizes. The columns are generated a priori and the most profitable ship schedule for each cargo set–ship combination is included in the set partitioning problem. We have tested the method on several real-life cases, and the results show the potential economical effects for the tramp shipping companies by utilizing flexible cargo sizes when generating the schedules.

Suggested Citation

  • G Brønmo & M Christiansen & B Nygreen, 2007. "Ship routing and scheduling with flexible cargo sizes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1167-1177, September.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:9:d:10.1057_palgrave.jors.2602263
    DOI: 10.1057/palgrave.jors.2602263
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    References listed on IDEAS

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    Cited by:

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    3. Wetzel, Daniel & Tierney, Kevin, 2024. "Rethinking cyclic structures in liner shipping networks," European Journal of Operational Research, Elsevier, vol. 316(2), pages 556-568.
    4. Stålhane, Magnus & Andersson, Henrik & Christiansen, Marielle & Fagerholt, Kjetil, 2014. "Vendor managed inventory in tramp shipping," Omega, Elsevier, vol. 47(C), pages 60-72.
    5. Miranda, Pablo A. & Blazquez, Carola A. & Vergara, Rodrigo & Weitzler, Sebastian, 2015. "A novel methodology for designing a household waste collection system for insular zones," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 227-247.
    6. Ann-Kathrin Rothenbächer & Michael Drexl & Stefan Irnich, 2016. "Branch-and-Price-and-Cut for the Truck-andTrailer Routing Problem with Time Windows," Working Papers 1617, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    7. Ann-Kathrin Rothenbächer & Michael Drexl & Stefan Irnich, 2018. "Branch-and-Price-and-Cut for the Truck-and-Trailer Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 52(5), pages 1174-1190, October.
    8. Li, Feng & Yang, Dong & Wang, Shuaian & Weng, Jinxian, 2019. "Ship routing and scheduling problem for steel plants cluster alongside the Yangtze River," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 198-210.
    9. 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.
    10. Brønmo, Geir & Nygreen, Bjørn & Lysgaard, Jens, 2010. "Column generation approaches to ship scheduling with flexible cargo sizes," European Journal of Operational Research, Elsevier, vol. 200(1), pages 139-150, January.
    11. Roar Grønhaug & Marielle Christiansen & Guy Desaulniers & Jacques Desrosiers, 2010. "A Branch-and-Price Method for a Liquefied Natural Gas Inventory Routing Problem," Transportation Science, INFORMS, vol. 44(3), pages 400-415, August.
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    15. Andrea Bettinelli & Alberto Ceselli & Giovanni Righini, 2010. "A branch-and-price algorithm for the variable size bin packing problem with minimum filling constraint," Annals of Operations Research, Springer, vol. 179(1), pages 221-241, September.

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