Abstract
We deal here with a general 2-commodity flow model designed for the management of shared mobility systems which operate on a given transit network. The model involves an integral flow which represents carriers together with an integral flow which represents the objects transported by those carriers. It may be viewed as the projection on the transit network of a flow model formulated on a time expanded network which simultaneously copes with temporal and resource issues, but does not fit practical computation. In order to make this projected model compatible with the time expanded network model, we introduce specific constraints whose handling involves a separation process. We prove that this separation process can be performed in polynomial time, discuss the experimental behaviour of the related Branch-and-Cut algorithm and briefly address the lift issue to turn an optimal solution of our projected model into a solution of the original problem.
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Acknowledgement
This work has been carried out in the context of the H2020 Marie Skłodowska-Curie Research and Innovation Staff Exchange European project 691161 “GEO-SAFE" [13].
On behalf of all authors, the corresponding author states that there is no conflict of interest.
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Figueroa González, J.L., Baïou, M., Quilliot, A., Toussaint, H., Wagler, A. (2022). Branch-and-Cut for a 2-Commodity Flow Relocation Model with Time Constraints. In: Ljubić, I., Barahona, F., Dey, S.S., Mahjoub, A.R. (eds) Combinatorial Optimization. ISCO 2022. Lecture Notes in Computer Science, vol 13526. Springer, Cham. https://doi.org/10.1007/978-3-031-18530-4_2
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