A Branch-and-Price Approach for a Ship Routing Problem with Multiple Products and Inventory Constraints

Conference paper
Part of the Operations Research Proceedings book series (ORP)


In the oil industry, different oil products are blended in a refinery. Afterwards, these products are transported to different harbors by ship. Due to the limited storage capacity at the harbors and the undesirability of a stock-out, inventory levels at the harbors have to be taken into account during the construction of the ship’s routes. In this paper, we give a detailed description of this problem, which we call the ship routing problem with multiple products and inventory constraints. Furthermore, we formulate this problem as a generalized set-covering problem. We propose a branch-and-price algorithm to solve it and we discuss this briefly.


  1. 1.
    Al-Khayyal, F., & Hwang, S. J. (2007). Inventory constrained maritime routing and scheduling for multi-commodity liquid bulk, part I: Applications and model. European Journal of Operations Research, 176, 106–130.CrossRefGoogle Scholar
  2. 2.
    Brønmo, G., Nygreen, B., & Lysgaard, J. (2009). Column generation approaches to ship scheduling with flexible cargo sizes. European Journal of Operations Research, 200, 139–150.CrossRefGoogle Scholar
  3. 3.
    Christiansen, M. (1999). Decomposition of a combined inventory and time constraint ship routing problem. Transportation Science, 33, 3–16.CrossRefGoogle Scholar
  4. 4.
    Christiansen, M., & Nygreen, B. (2005). Robust inventory ship routing by column generation. In G. Desaulniers, J. Desrosiers, & M. M. Solomon (Eds.), Column Generation (pp. 197–224). New York: Springer.CrossRefGoogle Scholar
  5. 5.
    Ioachim, I., Gélinas, S., Soumis, F., & Desrosiers, J. (1998). A dynamic programming algorithm for the shortest path problem with time windows and linear node costs. Networks, 31, 193204.CrossRefGoogle Scholar
  6. 6.
    Ronen, D. (2002). Marine inventory routing: shipments planning. Journal of the Operations Research Society, 53, 108–114.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.ORTECZoetermeerThe Netherlands
  2. 2.Econometric Institute, Erasmus School of EconomicsErasmus University RotterdamRotterdamThe Netherlands

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