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A Model and Solution Algorithm for Optimal Routing of a Time-Chartered Containership

Author

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  • Krishan Rana

    (Saint Mary's University, Halifax, Nova Scotia, Canada)

  • R. G. Vickson

    (University of Waterloo, Waterloo, Ontario, Canada)

Abstract

We formulate a mathematical programming model for optimally routing a chartered container ship. Our model helps in evaluating whether a container ship should be chartered or not. The model calculates the optimal sequence of port calls, the number of containers transported between port pairs, and the number of trips the ship makes in the chartered period. A specialized algorithm is developed to solve the integer network subprograms which determine the sequence of port calls. Our algorithm, which solves an integer program optimally, is quite efficient. Comparison of computational results with a Lagrangean Relaxation method and an embedded dynamic program are also presented.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:22:y:1988:i:2:p:83-95
    DOI: 10.1287/trsc.22.2.83
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    Cited by:

    1. Wang, Shuaian & Meng, Qiang, 2012. "Liner ship fleet deployment with container transshipment operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 470-484.
    2. Chen, Kang & Chen, Dongxu & Sun, Xueshan & Yang, Zhongzhen, 2016. "Container Ocean-transportation System Design with the factors of demand fluctuation and choice inertia of shippers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 267-281.
    3. 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.
    4. Ishwar Murthy & Shenq‐Shyong Her, 1992. "Solving min‐max shortest‐path problems on a network," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 669-683, August.
    5. Zhao, Hui & Hu, Hao & Lin, Yisong, 2016. "Study on China-EU container shipping network in the context of Northern Sea Route," Journal of Transport Geography, Elsevier, vol. 53(C), pages 50-60.
    6. Hadi Bidhandi, 2006. "A new approach based on the surrogating method in the project time compression problems," Annals of Operations Research, Springer, vol. 143(1), pages 237-250, March.
    7. Manuel Herrera & Per J. Agrell & Casiano Manrique-de-Lara-Peñate & Lourdes Trujillo, 2017. "Vessel capacity restrictions in the fleet deployment problem: an application to the Panama Canal," Annals of Operations Research, Springer, vol. 253(2), pages 845-869, June.
    8. Qiang Meng & Tingsong Wang, 2010. "A chance constrained programming model for short-term liner ship fleet planning problems," Maritime Policy & Management, Taylor & Francis Journals, vol. 37(4), pages 329-346, July.
    9. Pantuso, Giovanni & Fagerholt, Kjetil & Hvattum, Lars Magnus, 2014. "A survey on maritime fleet size and mix problems," European Journal of Operational Research, Elsevier, vol. 235(2), pages 341-349.
    10. Ehrgott, Matthias & Skriver, Anders J. V., 2003. "Solving biobjective combinatorial max-ordering problems by ranking methods and a two-phases approach," European Journal of Operational Research, Elsevier, vol. 147(3), pages 657-664, June.
    11. Wang, Yadong & Meng, Qiang & Jia, Peng, 2019. "Optimal port call adjustment for liner container shipping routes," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 107-128.
    12. Chen, Jingxu & Jia, Shuai & Wang, Shuaian & Liu, Zhiyuan, 2018. "Subloop-based reversal of port rotation directions for container liner shipping network alteration," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 336-361.
    13. 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.
    14. Meng, Qiang & Wang, Tingsong & Wang, Shuaian, 2012. "Short-term liner ship fleet planning with container transshipment and uncertain container shipment demand," European Journal of Operational Research, Elsevier, vol. 223(1), pages 96-105.
    15. Chen, Kang & Yang, Zhongzhen & Notteboom, Theo, 2014. "The design of coastal shipping services subject to carbon emission reduction targets and state subsidy levels," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 192-211.
    16. 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.
    17. 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.
    18. Marielle Christiansen, 1999. "Decomposition of a Combined Inventory and Time Constrained Ship Routing Problem," Transportation Science, INFORMS, vol. 33(1), pages 3-16, February.
    19. Lin, Dung-Ying & Tsai, Yu-Yun, 2014. "The ship routing and freight assignment problem for daily frequency operation of maritime liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 52-70.
    20. Lin, Dung-Ying & Chang, Yu-Ting, 2018. "Ship routing and freight assignment problem for liner shipping: Application to the Northern Sea Route planning problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 47-70.

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