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Maritime crude oil transportation – A split pickup and split delivery problem


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  • Hennig, F.
  • Nygreen, B.
  • Christiansen, M.
  • Fagerholt, K.
  • Furman, K.C.
  • Song, J.
  • Kocis, G.R.
  • Warrick, P.H.
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    The maritime oil tanker routing and scheduling problem is known to the literature since before 1950. In the presented problem, oil tankers transport crude oil from supply points to demand locations around the globe. The objective is to find ship routes, load sizes, as well as port arrival and departure times, in a way that minimizes transportation costs. We introduce a path flow model where paths are ship routes. Continuous variables distribute the cargo between the different routes. Multiple products are transported by a heterogeneous fleet of tankers. Pickup and delivery requirements are not paired to cargos beforehand and arbitrary split of amounts is allowed. Small realistic test instances can be solved with route pre-generation for this model. The results indicate possible simplifications and stimulate further research.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 218 (2012)
    Issue (Month): 3 ()
    Pages: 764-774

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    Handle: RePEc:eee:ejores:v:218:y:2012:i:3:p:764-774

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    Keywords: Routing; Scheduling; Maritime transportation; Pickup and delivery; Split;


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    1. Lawrence E. Briskin, 1966. "Selecting Delivery Dates in the Tanker Scheduling Problem," Management Science, INFORMS, vol. 12(6), pages B224-B235, February.
    2. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(1), pages 1-31, July.
    3. Gerald G. Brown & Glenn W. Graves & David Ronen, 1987. "Scheduling Ocean Transportation of Crude Oil," Management Science, INFORMS, vol. 33(3), pages 335-346, March.
    4. 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.
    5. Archetti, Claudia & Savelsbergh, Martin W.P. & Grazia Speranza, M., 2008. "To split or not to split: That is the question," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 114-123, January.
    6. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(1), pages 45-47, July.
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    Cited by:
    1. 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.


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