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A chance constrained programming model for short-term liner ship fleet planning problems

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  • Qiang Meng
  • Tingsong Wang

Abstract

This article deals with a short-term Liner Ship Fleet Planning (LSFP) problem with cargo shipment demand uncertainty for a single liner container shipping company. The cargo shipment demand uncertainty enables us to propose a chance constraint for each liner service route, which guarantees that the liner service route can satisfy the customers’ demand at least with a predetermined probability. Assuming that cargo shipment demand between any two ports on each liner service route is normally distributed, this article develops an integer linear programming model with chance constraints for the short-term LSFP problem. The proposed integer linear programming model can be efficiently solved by any optimization solver such as CPLEX. Finally, a numerical example is carried out to assess the model and analyze impact of the chance constraints and cargo shipment demand.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:marpmg:v:37:y:2010:i:4:p:329-346
    DOI: 10.1080/03088839.2010.486635
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    1. Nikiforos A. Papadakis & Anastassios N. Perakis, 1989. "A nonlinear approach to the multiorigin, multidestination fleet deployment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 515-528, August.
    2. Sambracos, E. & Paravantis, J. A. & Tarantilis, C. D. & Kiranoudis, C. T., 2004. "Dispatching of small containers via coastal freight liners: The case of the Aegean Sea," European Journal of Operational Research, Elsevier, vol. 152(2), pages 365-381, January.
    3. 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.
    4. Krishan Rana & R. G. Vickson, 1991. "Routing Container Ships Using Lagrangean Relaxation and Decomposition," Transportation Science, INFORMS, vol. 25(3), pages 201-214, August.
    5. Richa Agarwal & Özlem Ergun, 2008. "Ship Scheduling and Network Design for Cargo Routing in Liner Shipping," Transportation Science, INFORMS, vol. 42(2), pages 175-196, May.
    6. B. J. Powell & A .N. Perkins, 1997. "Fleet deployment optimization for liner shipping: an integer programming model," Maritime Policy & Management, Taylor & Francis Journals, vol. 24(2), pages 183-192, January.
    7. 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.
    8. Adolf Koi Yu Ng & Jeremy K. Y. Kee, 2008. "The optimal ship sizes of container liner feeder services in Southeast Asia: a ship operator's perspective," Maritime Policy & Management, Taylor & Francis Journals, vol. 35(4), pages 353-376, August.
    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. M. C. Moura O & M. V. Pato & A. C. Paixa O, 2002. "Ship assignment with hub and spoke constraints," Maritime Policy & Management, Taylor & Francis Journals, vol. 29(2), pages 135-150, April.
    11. J. Laderman & L. Gleiberman & J. F. Egan, 1966. "Vessel allocation by linear programming," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 13(3), pages 315-320, September.
    12. 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.
    13. Fagerholt, Kjetil & Lindstad, Håkon, 2000. "Optimal policies for maintaining a supply service in the Norwegian Sea," Omega, Elsevier, vol. 28(3), pages 269-275, June.
    14. Gilbert Laporte & FranÇois V. Louveaux & Luc van Hamme, 2002. "An Integer L -Shaped Algorithm for the Capacitated Vehicle Routing Problem with Stochastic Demands," Operations Research, INFORMS, vol. 50(3), pages 415-423, June.
    15. Ronen, David, 1993. "Ship scheduling: The last decade," European Journal of Operational Research, Elsevier, vol. 71(3), pages 325-333, December.
    16. Ronen, David, 1983. "Cargo ships routing and scheduling: Survey of models and problems," European Journal of Operational Research, Elsevier, vol. 12(2), pages 119-126, February.
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