A Decomposed Fourier-Motzkin Elimination Framework to Derive Vessel Capacity Models

Mai Lise Ajspur, Rune Møller Jensen, Kent Høj Andersen

Research output: Conference Article in Proceeding or Book/Report chapterArticle in proceedingsResearchpeer-review


Accurate Vessel Capacity Models (VCMs) expressing the
trade-off between different container types that can be stowed on container
vessels are required in core liner shipping functions such as uptake-,
capacity-, and network management. Today, simple models based on volume,
weight, and refrigerated container capacity are used for these tasks,
which causes overestimations that hamper decision making. Though previous
work on stowage planning optimization in principle provide finegrained
linear Vessel Stowage Models (VSMs), these are too complex
to be used in the mentioned functions. As an alternative, this paper
contributes a novel framework based on Fourier-Motzkin Elimination
that automatically derives VCMs from VSMs by projecting unneeded
variables. Our results show that the projected VCMs are reduced by
an order of magnitude and can be solved 20–34 times faster than their
corresponding VSMs with only a negligible loss in accuracy. Our framework
is applicable to LP models in general, but are particularly effective
on block-angular structured problems such as VSMs. We show similar
results for a multi-commodity flow problem.
Original languageEnglish
Title of host publicationProceedings of the 10th International Conference on Computational Logistics (ICCL19)
Number of pages16
Publication date30 Sept 2019
ISBN (Print)978-3-030-31139-1
Publication statusPublished - 30 Sept 2019
Event10th International Conference on Computational Logistics - Barranquilla, Colombia
Duration: 30 Sept 20192 Oct 2019
Conference number: 10


Conference10th International Conference on Computational Logistics
SeriesLecture Notes in Computer Science


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