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An improved formulation for bulk cargo ship scheduling with a single loading port

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  • Seong-Cheol Cho
  • A. N. Perakis

Abstract

This paper presents an improved, significantly more efficient formulation of an existing model for bulk cargo or semi-bulk cargo ship scheduling problems with a single loading port. The original model, published by Ronen in 1986, was formulated as a non-linear, mixed integer program. In this work, the authors were able to re-formulate it into a linear one, by eliminating all the non-linearities of the original model. In addition, this model has far fewer integer variables than the original one. A numerical example has been given to illustrate the elimination of non-linearities and how 40 integer variables, in the original model, are reduced to just eight. This example also shows that this model is better at finding exact optimal solutions than the original one. It is also worth observing that the resulting model is a generalization of the ‘capacitated facility location problem’.

Suggested Citation

  • Seong-Cheol Cho & A. N. Perakis, 2001. "An improved formulation for bulk cargo ship scheduling with a single loading port," Maritime Policy & Management, Taylor & Francis Journals, vol. 28(4), pages 339-345, October.
  • Handle: RePEc:taf:marpmg:v:28:y:2001:i:4:p:339-345
    DOI: 10.1080/03088830010002755
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    Citations

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    Cited by:

    1. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    2. Persson, Jan A. & Gothe-Lundgren, Maud, 2005. "Shipment planning at oil refineries using column generation and valid inequalities," European Journal of Operational Research, Elsevier, vol. 163(3), pages 631-652, June.
    3. Gelareh, Shahin & Pisinger, David, 2011. "Fleet deployment, network design and hub location of liner shipping companies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 947-964.

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