Abstract
Short sea shipping has several advantages over other means of transportation, recognized by EU members. The maritime transportation could be dealt like a combination of two well-known problems: the container stowage problem and routing planning problem. The integration of these two well-known problems results in a new problem CSSRP (Container stowage and ship routing problem) that is also an hard combinatorial optimization problem. The aim of this work is to solve the CSSRP using a mixed integer programming model. It is proved that regardless the complexity of this problem, optimal solutions could be achieved in a reduced computational time. For testing the mathematical model some problems based on real data were generated and a sensibility analysis was performed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
An overstow occurs when there are containers that must be moved because they block the access to other containers that have to be unloaded.
References
Agarwal, R., Ergun, O.: Ship scheduling and network design for cargo routing in linear shipping. Transp. Sci. 42(2), 175–196 (2008)
Ambrosino, D., Sciomachen, A., Tanfani, E.: Stowing a containership: the master bay plan problem. Transp. Res. Part A 38, 81–99 (2004)
Ambrosino, D., Sciomachen, A., Tanfani, E.: A decomposition heuristics for the container ship stowage problem. J. Heuristics 12, 211–233 (2006)
Aslidis, A.H.: Combinatorial algorithms for stacking problems. PhD dissertation, MIT (2000)
Avriel, M., Penn, M.: Exact and approximate solutions of the container ship stowage problem. Comput. Ind. Eng. 25, 271–274 (1993)
Avriel, M., Penn, M., Shpirer, N., Witteboon, S.: Stowage planning for container ships to reduce the number of shifts. Ann. Oper. Res. 76, 55–71 (1998)
Avriel, M., Penn, M., Shpirer, N.: Container ship stowage problem: complexity and connection to the coloring of circle graphs. Discret. Appl. Math. 103, 271–279 (2000)
Bortfeldt, A., Wascher, G.: Constraints in container loading a state-of-the-art review. Eur. J. Oper. Res. 229, 1–20 (2013)
Botter, R.C., Brinati, M.A.: Stowage container planning: a model for getting an optimal solution. In: Computer Applications in the Automation of Shipyard Operation and Ship Design, VII, pp. 217–229. North-Holland, Amsterdam/New York (1992)
Christiansen, M., Nygreen, B.: A method for solving ship routing problems with inventory constraints. Ann. Oper. Res. 81, 357–378 (1998)
Delgado, A., Jensen, R.M., Janstrup, K., Rose, T.H., Andersen, K.H.: A Constraint Programming model for fast optimal stowage of container vessel bays. Eur. J. Oper. Res. 220, 251–261 (2012)
Dubrovsky, O., Levitin, O.G., Penn, M.: A genetic algorithm with a compact solution encoding for the container ship stowage problem. J. Heuristics 8, 585–599 (2002)
Gendreau, M., Iori, M., Laporte, G., Martello, S.: A tabu search algorithm for a routing and container loading problem. Transp. Sci. 9(3), 342–350 (2006)
Martins, T., Moura, A., Campos, A.A., Lobo, V.: Genetic algorithms approach for containerships fleet management dependent on cargo and their deadlines. In: Proceedings of IAME 2010: Annual Conference of the International Association of Maritime Economists, Lisbon 7–9 July 2010
Moura, A., Oliveira, J.F.: An integrated approach to the vehicle routing and container loading problems. Oper. Res. Spectr. 31, 775–800 (2009)
Moura, A., Oliveira, J., Pimentel, C.: A mathematical model for the container stowage and ship routing problem. J. Math. Model. Algorithms Oper. Res. 12(3), 217–231 (2013)
Wei-Ying, Z., Yan, L., Zhuo-Shang, J.T.: Model and algorithm for container ship stowage planning based on Bin-packing problem. J. Marine Sci. Appl. 4(3), 30–36 (2005)
Wilson, I.D., Roach, P.A.: Principles of combinatorial optimization applied to container-ship stowage planning. J. Heuristics 5(4), 403–418(16) (1999)
Wilson, I.D., Roach, P.A.: Container stowage planning: a methodology for generating computerized solutions. J. Oper. Res. Soc. 51, 1248–1255 (2000)
Acknowledgements
This work was supported by Portuguese funds through the CIDMA – Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (Fundação para a Ciência e a Tecnologia), within project PEst-OE/MAT/UI4106/2014.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Moura, A., Oliveira, J. (2015). Exact Solutions to the Short Sea Shipping Distribution Problem. In: Almeida, J., Oliveira, J., Pinto, A. (eds) Operational Research. CIM Series in Mathematical Sciences, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-20328-7_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-20328-7_16
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20327-0
Online ISBN: 978-3-319-20328-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)