Abstract
A shipping company operates a heterogeneous fleet of ships to service a given number of voyages on a number of trade routes over the planning horizon. Each ship has a predefined speed range within which it can sail. Fuel consumption, and hence fuel cost, significantly depends on the chosen speed. Furthermore, the shipping company makes Contracts of Affreightments with the shippers stating that the voyages on each trade route should be fairly evenly spread. This leads to the maritime fleet deployment problem with speed optimization and voyage separation requirements. We propose two formulations for this problem, i.e. one arc flow and one path flow model. The non-linear relationship for fuel consumption as a function of ship speed is linearized by choosing discrete speed points and linear combinations of these. Computational results show that the path flow model performs better than the arc flow model and that incorporating speed decisions in the fleet deployment gives better solutions and more planning flexibility.
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References
World bunker prices (2018). https://shipandbunker.com/prices
Andersson, H., Fagerholt, K., Hobbesland, K.: Integrated maritime fleet deployment and speed optimization: case study from roro shipping. Comput. Oper. Res. 55, 233–240 (2015)
Brouer, B.D., Alvarez, J.F., Plum, C.E.M., Pisinger, D., Sigurd, M.M.: A base integer programming model and benchmark suite for liner-shipping network design. Transp. Sci. 48(2), 281–312 (2014)
Dohn, A., Rasmussen, M.S., Larsen, J.: The vehicle routing problem with time windows and temporal dependencies. Networks 58(4), 273–289 (2011)
Norstad, I., Fagerholt, K., Hvattum, L.M., Arnulf, H.S., Bjørkli, A.: Maritime fleet deployment with voyage separation requirements. Flex. Serv. Manuf. J. 27(2–3), 180–199 (2015)
Norstad, I., Fagerholt, K., Laporte, G.: Tramp ship routing and scheduling with speed optimization. Transp. Res. Part C Emerg. Technol. 19(5), 853–865 (2011)
Psaraftis, H.N., Kontovas, C.A.: Ship speed optimization: concepts, models and combined speed-routing scenarios. Transp. Res. Part C Emerg. Technol. 44, 52–69 (2014)
Reinhardt, L.B., Clausen, T., Pisinger, D.: Synchronized dial-a-ride transportation of disabled passengers at airports. Europ. J. Oper. Res. 225(1), 106–117 (2013)
UNCTAD: Review of Maritime Transportation 2016. UN Publications (2016)
Vilhelmsen, C., Lusby, R.M., Larsen, J.: Tramp ship routing and scheduling with voyage separation requirements. OR Spectr. 39(4), 913–943 (2017)
Wang, X., Norstad, I., Fagerholt, K., Christiansen, M.: Tramp ship routing and scheduling: effects of market-based measures on CO\(_2\) reduction. In: Sustainable Shipping: A Cross Disciplinary View, Chap. 8, Springer (2018, forthcoming)
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Borander, V., Straume, A., Dong, B., Fagerholt, K., Wang, X. (2018). Maritime Fleet Deployment with Speed Optimization and Voyage Separation Requirements. In: Cerulli, R., Raiconi, A., Voß, S. (eds) Computational Logistics. ICCL 2018. Lecture Notes in Computer Science(), vol 11184. Springer, Cham. https://doi.org/10.1007/978-3-030-00898-7_3
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DOI: https://doi.org/10.1007/978-3-030-00898-7_3
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