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A dynamic model and algorithm for fleet planning

Author

Listed:
  • Xie Xinlian
  • Wang Tengfei
  • Chen Daisong

Abstract

By analysing the merits and demerits of the existing linear model for fleet planning, this paper presents an algorithm which combines the linear programming technique with that of dynamic programming to improve the solution to linear model for fleet planning. This new approach has not only the merits that the linear model for fleet planning has, but also the merit of saving computing time. The numbers of ships newly added into the fleet every year are always integers in the final optimal solution. The last feature of the solution directly meets the requirements of practical application. Both the mathematical model of the dynamic fleet planning and its algorithm are put forward in this paper. A calculating example is also given.

Suggested Citation

  • Xie Xinlian & Wang Tengfei & Chen Daisong, 2000. "A dynamic model and algorithm for fleet planning," Maritime Policy & Management, Taylor & Francis Journals, vol. 27(1), pages 53-63.
    • Handle: RePEc:taf:marpmg:v:27:y:2000:i:1:p:53-63
    DOI: 10.1080/030888300286680
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    Cited by:

    1. Qiang Meng & Tingsong Wang & Shuaian Wang, 2015. "Multi-period liner ship fleet planning with dependent uncertain container shipment demand," Maritime Policy & Management, Taylor & Francis Journals, vol. 42(1), pages 43-67, January.
    2. Jørgen Laake & Abraham Zhang, 2016. "Joint optimization of strategic fleet planning and contract analysis in tramp shipping," Applied Economics, Taylor & Francis Journals, vol. 48(3), pages 203-211, January.
    3. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    4. 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.
    5. 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.

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