This paper provides a tangible methodology to deal with the liner ship fleet deployment problem aiming at minimizing the total cost while maintaining a service level under uncertain container demand. The problem is first formulated as a joint chance constrained programming model, and the sample average approximation method and mixed-integer programming are used to deal with it. Finally, a numerical example of a liner shipping network is carried out to verify the applicability of the proposed model and solution algorithm. It is found that the service level has significant effect on the total cost.
Wang, T., Meng, Q., Wang, S. & Tan, Z. (2013). Risk management in liner ship fleet deployment: a joint chance constrained programming model. Transportation Research Part E: Logistics and Transportation Review, 60 1-12.