Matrices of Sets as a Mathematical Tool Enabling Efficient Planning of Intermodal Freight Transport

Abstract

This research is a component of the FLUSYNCHRO initiative and is focused on constructing a decision support tool for comparing multimodal transport routes from one point to another based on several factors, including distance, time, and environmental considerations. The study employs the innovative theoretical framework of matrices of sets to model container-based intermodal transportation with a particular emphasis on river, rail, and road modalities as well as environmental externalities. The intermodal transport network is presented as a multi-level graph, with each level represented by a matrix of sets comprising terminals, links, and data of the corresponding mode of transport. The determination of multimodal paths is achieved through the multiplication of associated matrices of sets of each mode. The Seine Axis is the region to which this investigation applies, as all three transport modes are accessible. The principal goal is to promote the usage of environmentally sustainable intermodal transportation systems.