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Maritime Fleet Deployment with Speed Optimization and Voyage Separation Requirements

  • Venke Borander
  • Anders Straume
  • Bo DongEmail author
  • Kjetil Fagerholt
  • Xin Wang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11184)

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.

Keywords

Maritime fleet deployment Speed optimization Voyage separation requirements 

References

  1. 1.
    World bunker prices (2018). https://shipandbunker.com/prices
  2. 2.
    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)MathSciNetCrossRefGoogle Scholar
  3. 3.
    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)CrossRefGoogle Scholar
  4. 4.
    Dohn, A., Rasmussen, M.S., Larsen, J.: The vehicle routing problem with time windows and temporal dependencies. Networks 58(4), 273–289 (2011)MathSciNetCrossRefGoogle Scholar
  5. 5.
    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)CrossRefGoogle Scholar
  6. 6.
    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)CrossRefGoogle Scholar
  7. 7.
    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)CrossRefGoogle Scholar
  8. 8.
    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)CrossRefGoogle Scholar
  9. 9.
    UNCTAD: Review of Maritime Transportation 2016. UN Publications (2016)Google Scholar
  10. 10.
    Vilhelmsen, C., Lusby, R.M., Larsen, J.: Tramp ship routing and scheduling with voyage separation requirements. OR Spectr. 39(4), 913–943 (2017)MathSciNetCrossRefGoogle Scholar
  11. 11.
    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)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Venke Borander
    • 1
  • Anders Straume
    • 1
  • Bo Dong
    • 1
    Email author
  • Kjetil Fagerholt
    • 1
    • 2
  • Xin Wang
    • 1
  1. 1.Norwegian University of Science and TechnologyTrondheimNorway
  2. 2.SINTEF OceanTrondheimNorway

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