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We consider an important problem in the shipping industry known as the linershipping fleet repositioning problem (LSFRP). We examine a public data set forthis problem including many instances which have not previously been solved tooptimality. We present several improvements on a previous mathematicalformulation, however the largest instances still result in models too difficultto solve in reasonable time. The implementation of column generation reducesthe model size significantly, allowing all instances to be solved, with sometaking two to three hours. A novel application of lazy constraints furtherreduces the size of the model, and results in all instances being solved tooptimality in under four minutes.

Column Generation and Lazy Constraints for solving the Liner Ship Fleet Repositioning Problem with cargo flows