A Decomposition Method for Finding Optimal Container Stowage Plans

Research output: Contribution to journalJournal article – Annual report year: 2018Researchpeer-review


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In transportation of goods in large container ships, shipping industries need to minimize the time spent at ports to load/unload containers. An optimal stowage of containers on board minimizes unnecessary unloading/reloading movements, while satisfying many operational constraints. We address the basic container stowage planning problem (CSPP). Different heuristics and formulations have been proposed for the CSPP, but finding an optimal stowage plan remains an open problem even for small-sized instances. We introduce a novel formulation that decomposes CSPPs into two sets of decision variables: the first defining how single container stacks evolve over time and the second modeling port-dependent constraints. Its linear relaxation is solved through stabilized column generation and with different heuristic and exact pricing algorithms. The lower bound achieved is then used to find an optimal stowage plan by solving a mixed-integer programming model. The proposed solution method outperforms the methods from the literature and can solve to optimality instances with up to 10 ports and 5,000 containers in a few minutes of computing time.
Original languageEnglish
JournalTransportation Science
Issue number6
Pages (from-to)1297-1588
Publication statusPublished - 2018
CitationsWeb of Science® Times Cited: No match on DOI

ID: 159162205